Pages:
Author

Topic: Pubkey scaling/subtracting/other tips for reducing search time (Read 2303 times)

full member
Activity: 706
Merit: 111
" I got it down to 104 bits today, but with 32,000 pubkeys; better than the normal 2^16 normally required, but I can't figure out a way to shrink it down to one key... "

for 10 bit down = 1024 pubkeys
for 20 bit down = 1024*1024 = 1048576 pubkeys
for 30 bit down = 1024*1024*1024 = 1073741824 pubkeys

1048576 and 1073741824 pubkeys with each other addition and mutiplication will return you 260 pubkeys apear where 16 pubkeys sure inside 10 bit down from main pubkey
these 260 pubkeys again played for get 30 bit down for 1/720 pubkeys
now you can start to find with above tip



You can only do it by 10 bit, 20, bit, or 30 bit down?
jr. member
Activity: 48
Merit: 11
I'm not sure of the significance of these numbers so maybe a backstory on how you came about these numbers could be useful. Does it make the overall search time faster?  Huh

Those numbers are factors of secp256k1 modified order

n    = 115792089237316195423570985008687907852837564279074904382605163141518161494337 (prime number)
n-1 = 115792089237316195423570985008687907852837564279074904382605163141518161494336 (composite number)

factorisation of n-1 into primes: 2*2*2*2*2*2 * 3 * 149 * 631 * 107361793816595537 * 174723607534414371449 * 341948486974166000522343609283189

18051648 = 2*2*2*2*2*2 * 3 * 149 * 631
9025824   = 2*2*2*2*2 * 3 * 149 * 631
6017216   = 2*2*2*2*2*2 * 149 * 631

and so on

I don't see any special magic here. In fact, BTC's real private key can be divisible by any prime number and also can be prime by itself. Due to the fact that secp256k1 is a cyclic group, we cannot check whether the result of dividing an unknown number (public key) is an integer or a fraction (in real math, outside of cyclic group), so we cannot make any meaningful conclusions from the results obtained.


CAN YOU PLEASE TELL ME HOW YOU ARE SELECTING THOSE PRIME NUMBERS CORRECTLY.


CAN YOU PROVIDE ME SOME EXAMPLE 447,596


THANKS
are the divisors of the number n-1
n-1 = 115792089237316195423570985008687907852837564279074904382605163141518161494336
447 = 3 * 149
596 = 4 * 149
the number n-1 contains 448 divisors:
Code:
   1
    2
    3
    4
    6
    8
    12
    16
    24
    32
    48
    64
    96
    149
    192
    298
    447
    596
    631
    894
    1192
    1262
    1788
    1893
    2384
    2524
    3576
    3786
    4768
    5048
    7152
    7572
    9536
    10096
    14304
    15144
    20192
    28608
    30288
    40384
    60576
    94019
    121152
    188038
    282057
    376076
    564114
    752152
    1128228
    1504304
    2256456
    3008608
    4512912
    6017216
    9025824
    18051648
    107361793816595537
    214723587633191074
    322085381449786611
    429447175266382148
    644170762899573222
    858894350532764296
    1288341525799146444
    1717788701065528592
    2576683051598292888
    3435577402131057184
    5153366103196585776
    6871154804262114368
    10306732206393171552
    15996907278672735013
    20613464412786343104
    31993814557345470026
    47990721836018205039
    63987629114690940052
    67745291898271783847
    95981443672036410078
    127975258229381880104
    135490583796543567694
    174723607534414371449
    191962887344072820156
    203235875694815351541
    255950516458763760208
    270981167593087135388
    349447215068828742898
    383925774688145640312
    406471751389630703082
    511901032917527520416
    524170822603243114347
    541962335186174270776
    698894430137657485796
    767851549376291280624
    812943502779261406164
    1023802065835055040832
    1048341645206486228694
    1083924670372348541552
    1397788860275314971592
    1535703098752582561248
    1625887005558522812328
    2096683290412972457388
    2167849340744697083104
    2795577720550629943184
    3071406197505165122496
    3251774011117045624656
    4193366580825944914776
    4335698681489394166208
    5591155441101259886368
    6503548022234091249312
    8386733161651889829552
    10094048492842495793203
    11182310882202519772736
    13007096044468182498624
    16773466323303779659104
    20188096985684991586406
    26033817522627741345901
    30282145478527487379609
    33546932646607559318208
    40376193971369983172812
    52067635045255482691802
    60564290957054974759218
    78101452567883224037703
    80752387942739966345624
    104135270090510965383604
    110250596354215468384319
    121128581914109949518436
    156202905135766448075406
    161504775885479932691248
    208270540181021930767208
    220501192708430936768638
    242257163828219899036872
    312405810271532896150812
    323009551770959865382496
    330751789062646405152957
    416541080362043861534416
    441002385416861873537276
    484514327656439798073744
    624811620543065792301624
    646019103541919730764992
    661503578125292810305914
    833082160724087723068832
    882004770833723747074552
    969028655312879596147488
    1249623241086131584603248
    1323007156250585620611828
    1666164321448175446137664
    1764009541667447494149104
    1938057310625759192294976
    2499246482172263169206496
    2646014312501171241223656
    3528019083334894988298208
    4998492964344526338412992
    5292028625002342482447312
    7056038166669789976596416
    10584057250004684964894624
    16427338856778104789263531
    21168114500009369929789248
    32854677713556209578527062
    49282016570334314367790593
    65709355427112419157054124
    98564033140668628735581186
    131418710854224838314108248
    197128066281337257471162372
    262837421708449676628216496
    394256132562674514942324744
    525674843416899353256432992
    788512265125349029884649488
    1051349686833798706512865984
    1577024530250698059769298976
    3154049060501396119538597952
    341948486974166000522343609283189
    683896973948332001044687218566378
    1025845460922498001567030827849567
    1367793947896664002089374437132756
    2051690921844996003134061655699134
    2735587895793328004178748874265512
    4103381843689992006268123311398268
    5471175791586656008357497748531024
    8206763687379984012536246622796536
    10942351583173312016714995497062048
    16413527374759968025072493245593072
    21884703166346624033429990994124096
    32827054749519936050144986491186144
    50950324559150734077829197783195161
    65654109499039872100289972982372288
    101900649118301468155658395566390322
    152850973677452202233487593349585483
    203801298236602936311316791132780644
    215769495280698746329598817457692259
    305701947354904404466975186699170966
    407602596473205872622633582265561288
    431538990561397492659197634915384518
    611403894709808808933950373398341932
    647308485842096238988796452373076777
    815205192946411745245267164531122576
    863077981122794985318395269830769036
    1222807789419617617867900746796683864
    1294616971684192477977592904746153554
    1630410385892823490490534329062245152
    1726155962245589970636790539661538072
    2445615578839235235735801493593367728
    2589233943368384955955185809492307108
    3260820771785646980981068658124490304
    3452311924491179941273581079323076144
    4891231157678470471471602987186735456
    5178467886736769911910371618984614216
    6904623848982359882547162158646152288
    9782462315356940942943205974373470912
    10356935773473539823820743237969228432
    13809247697964719765094324317292304576
    18758639927001554244874997690913623113
    20713871546947079647641486475938456864
    32149654796824113203110223801196146591
    37517279854003108489749995381827246226
    41427743093894159295282972951876913728
    56275919781004662734624993072740869339
    64299309593648226406220447602392293182
    75034559708006216979499990763654492452
    96448964390472339609330671403588439773
    112551839562009325469249986145481738678
    128598619187296452812440895204784586364
    150069119416012433958999981527308984904
    192897928780944679218661342807176879546
    225103679124018650938499972290963477356
    257197238374592905624881790409569172728
    300138238832024867917999963054617969808
    385795857561889358437322685614353759092
    450207358248037301876999944581926954712
    514394476749185811249763580819138345456
    600276477664049735835999926109235939616
    771591715123778716874645371228707518184
    900414716496074603753999889163853909424
    1028788953498371622499527161638276690912
    1200552955328099471671999852218471879232
    1543183430247557433749290742457415036368
    1800829432992149207507999778327707818848
    2057577906996743244999054323276553381824
    2795037349123231582486374655946129843837
    3086366860495114867498581484914830072736
    3601658865984298415015999556655415637696
    5590074698246463164972749311892259687674
    6172733720990229734997162969829660145472
    8385112047369694747459123967838389531511
    11180149396492926329945498623784519375348
    11836701793937980728516123542966496184303
    16770224094739389494918247935676779063022
    22360298792985852659890997247569038750696
    23673403587875961457032247085932992368606
    33540448189478778989836495871353558126044
    35510105381813942185548370628899488552909
    44720597585971705319781994495138077501392
    47346807175751922914064494171865984737212
    67080896378957557979672991742707116252088
    71020210763627884371096741257798977105818
    89441195171943410639563988990276155002784
    94693614351503845828128988343731969474424
    134161792757915115959345983485414232504176
    142040421527255768742193482515597954211636
    178882390343886821279127977980552310005568
    189387228703007691656257976687463938948848
    268323585515830231918691966970828465008352
    284080843054511537484386965031195908423272
    378774457406015383312515953374927877897696
    536647171031660463837383933941656930016704
    568161686109023074968773930062391816846544
    757548914812030766625031906749855755795392
    1136323372218046149937547860124783633693088
    1763668567296759128548902407902007931461147
    2272646744436092299875095720249567267386176
    3527337134593518257097804815804015862922294
    5291005701890277385646707223706023794383441
    7054674269187036514195609631608031725844588
    10582011403780554771293414447412047588766882
    14109348538374073028391219263216063451689176
    21164022807561109542586828894824095177533764
    28218697076748146056782438526432126903378352
    42328045615122219085173657789648190355067528
    56437394153496292113564877052864253806756704
    84656091230244438170347315579296380710135056
    112874788306992584227129754105728507613513408
    169312182460488876340694631158592761420270112
    338624364920977752681389262317185522840540224
    36712202954417214842724336778420075919000906527493
    73424405908834429685448673556840151838001813054986
    110136608863251644528173010335260227757002719582479
    146848811817668859370897347113680303676003626109972
    220273217726503289056346020670520455514005439164958
    293697623635337718741794694227360607352007252219944
    440546435453006578112692041341040911028010878329916
    587395247270675437483589388454721214704014504439888
    881092870906013156225384082682081822056021756659832
    1174790494541350874967178776909442429408029008879776
    1762185741812026312450768165364163644112043513319664
    2349580989082701749934357553818884858816058017759552
    3524371483624052624901536330728327288224087026639328
    5470118240208165011565926179984591311931135072596457
    7048742967248105249803072661456654576448174053278656
    10940236480416330023131852359969182623862270145192914
    16410354720624495034697778539953773935793405217789371
    21880472960832660046263704719938365247724540290385828
    23165400064237262565759056507183067904889572018848083
    32820709441248990069395557079907547871586810435578742
    43760945921665320092527409439876730495449080580771656
    46330800128474525131518113014366135809779144037696166
    59746473235060985162263246577491932178200490877270861
    65641418882497980138791114159815095743173620871157484
    69496200192711787697277169521549203714668716056544249
    87521891843330640185054818879753460990898161161543312
    92661600256949050263036226028732271619558288075392332
    119492946470121970324526493154983864356400981754541722
    131282837764995960277582228319630191486347241742314968
    138992400385423575394554339043098407429337432113088498
    175043783686661280370109637759506921981796322323086624
    179239419705182955486789739732475796534601472631812583
    185323200513898100526072452057464543239116576150784664
    238985892940243940649052986309967728712801963509083444
    262565675529991920555164456639260382972694483484629936
    277984800770847150789108678086196814858674864226176996
    350087567373322560740219275519013843963592644646173248
    358478839410365910973579479464951593069202945263625166
    370646401027796201052144904114929086478233152301569328
    477971785880487881298105972619935457425603927018166888
    525131351059983841110328913278520765945388966969259872
    555969601541694301578217356172393629717349728452353992
    716957678820731821947158958929903186138405890527250332
    741292802055592402104289808229858172956466304603138656
    955943571760975762596211945239870914851207854036333776
    1050262702119967682220657826557041531890777933938519744
    1111939203083388603156434712344787259434699456904707984
    1433915357641463643894317917859806372276811781054500664
    1482585604111184804208579616459716345912932609206277312
    1911887143521951525192423890479741829702415708072667552
    2223878406166777206312869424689574518869398913809415968
    2867830715282927287788635835719612744553623562109001328
    3451644609571352122298099419570277117828546230808364367
    3823774287043903050384847780959483659404831416145335104
    4447756812333554412625738849379149037738797827618831936
    5735661430565854575577271671439225489107247124218002656
    6903289219142704244596198839140554235657092461616728734
    8902224512024086789177223740046297894551873140713358289
    10354933828714056366894298258710831353485638692425093101
    11471322861131709151154543342878450978214494248436005312
    13806578438285408489192397678281108471314184923233457468
    17804449024048173578354447480092595789103746281426716578
    20709867657428112733788596517421662706971277384850186202
    26706673536072260367531671220138893683655619422140074867
    27613156876570816978384795356562216942628369846466914936
    35608898048096347156708894960185191578207492562853433156
    37700024611323481637388108590397409204444509743557913291
    41419735314856225467577193034843325413942554769700372404
    53413347072144520735063342440277787367311238844280149734
    55226313753141633956769590713124433885256739692933829872
    71217796096192694313417789920370383156414985125706866312
    75400049222646963274776217180794818408889019487115826582
    82839470629712450935154386069686650827885109539400744808
    106826694144289041470126684880555574734622477688560299468
    110452627506283267913539181426248867770513479385867659744
    113100073833970444912164325771192227613333529230673739873
    142435592192385388626835579840740766312829970251413732624
    150800098445293926549552434361589636817778038974231653164
    165678941259424901870308772139373301655770219078801489616
    213653388288578082940253369761111149469244955377120598936
    220905255012566535827078362852497735541026958771735319488
    226200147667940889824328651542384455226667058461347479746
    284871184384770777253671159681481532625659940502827465248
    301600196890587853099104868723179273635556077948463306328
    331357882518849803740617544278746603311540438157602979232
    427306776577156165880506739522222298938489910754241197872
    452400295335881779648657303084768910453334116922694959492
    569742368769541554507342319362963065251319881005654930496
    603200393781175706198209737446358547271112155896926612656
    662715765037699607481235088557493206623080876315205958464
    854613553154312331761013479044444597876979821508482395744
    904800590671763559297314606169537820906668233845389918984
    1206400787562351412396419474892717094542224311793853225312
    1709227106308624663522026958088889195753959643016964791488
    1809601181343527118594629212339075641813336467690779837968
    2412801575124702824792838949785434189084448623587706450624
    3619202362687054237189258424678151283626672935381559675936
    5617303667087198763970828179969213971462231951790129080359
    7238404725374108474378516849356302567253345870763119351872
    11234607334174397527941656359938427942924463903580258160718
    16851911001261596291912484539907641914386695855370387241077
    22469214668348795055883312719876855885848927807160516321436
    33703822002523192583824969079815283828773391710740774482154
    44938429336697590111766625439753711771697855614321032642872
    67407644005046385167649938159630567657546783421481548964308
    89876858673395180223533250879507423543395711228642065285744
    134815288010092770335299876319261135315093566842963097928616
    179753717346790360447066501759014847086791422457284130571488
    269630576020185540670599752638522270630187133685926195857232
    359507434693580720894133003518029694173582844914568261142976
    539261152040371081341199505277044541260374267371852391714464
    1078522304080742162682399010554089082520748534743704783428928
    6414488540731361226607730496888035255996436684289152125202372832747357
    12828977081462722453215460993776070511992873368578304250404745665494714
    19243465622194083679823191490664105767989310052867456375607118498242071
    25657954162925444906430921987552141023985746737156608500809491330989428
    38486931244388167359646382981328211535978620105734912751214236996484142
    51315908325850889812861843975104282047971493474313217001618982661978856
    76973862488776334719292765962656423071957240211469825502428473992968284
    102631816651701779625723687950208564095942986948626434003237965323957712
    153947724977552669438585531925312846143914480422939651004856947985936568
    205263633303403559251447375900417128191885973897252868006475930647915424
    307895449955105338877171063850625692287828960845879302009713895971873136
    410527266606807118502894751800834256383771947794505736012951861295830848
    615790899910210677754342127701251384575657921691758604019427791943746272
    955758792568972822764551844036317253143469065959083666655153552079356193
    1231581799820421355508684255402502769151315843383517208038855583887492544
    1911517585137945645529103688072634506286938131918167333310307104158712386
    2867276377706918468293655532108951759430407197877250999965460656238068579
    3823035170275891291058207376145269012573876263836334666620614208317424772
    4047542269201488933989477943536350246533751547786454991002697257463582267
    5734552755413836936587311064217903518860814395754501999930921312476137158
    7646070340551782582116414752290538025147752527672669333241228416634849544
    8095084538402977867978955887072700493067503095572909982005394514927164534
    11469105510827673873174622128435807037721628791509003999861842624952274316
    12142626807604466801968433830609050739601254643359364973008091772390746801
    15292140681103565164232829504581076050295505055345338666482456833269699088
    16190169076805955735957911774145400986135006191145819964010789029854329068
    22938211021655347746349244256871614075443257583018007999723685249904548632
    24285253615208933603936867661218101479202509286718729946016183544781493602
    30584281362207130328465659009162152100591010110690677332964913666539398176
    32380338153611911471915823548290801972270012382291639928021578059708658136
    45876422043310695492698488513743228150886515166036015999447370499809097264
    48570507230417867207873735322436202958405018573437459892032367089562987204
    61168562724414260656931318018324304201182020221381354665929827333078796352
    64760676307223822943831647096581603944540024764583279856043156119417316272
    91752844086621390985396977027486456301773030332072031998894740999618194528
    97141014460835734415747470644872405916810037146874919784064734179125974408
    129521352614447645887663294193163207889080049529166559712086312238834632544
    183505688173242781970793954054972912603546060664144063997789481999236389056
    194282028921671468831494941289744811833620074293749839568129468358251948816
    259042705228895291775326588386326415778160099058333119424172624477669265088
    388564057843342937662989882579489623667240148587499679136258936716503897632
    603083798111021851164432213586916186733528980620181793659401891362073757783
    777128115686685875325979765158979247334480297174999358272517873433007795264
    1206167596222043702328864427173832373467057961240363587318803782724147515566
    1809251394333065553493296640760748560200586941860545380978205674086221273349
    2412335192444087404657728854347664746934115922480727174637607565448295031132
    3618502788666131106986593281521497120401173883721090761956411348172442546698
    4824670384888174809315457708695329493868231844961454349275215130896590062264
    7237005577332262213973186563042994240802347767442181523912822696344885093396
    9649340769776349618630915417390658987736463689922908698550430261793180124528
    14474011154664524427946373126085988481604695534884363047825645392689770186792
    19298681539552699237261830834781317975472927379845817397100860523586360249056
    28948022309329048855892746252171976963209391069768726095651290785379540373584
    38597363079105398474523661669562635950945854759691634794201721047172720498112
    57896044618658097711785492504343953926418782139537452191302581570759080747168
    115792089237316195423570985008687907852837564279074904382605163141518161494336
newbie
Activity: 14
Merit: 0
I'm not sure of the significance of these numbers so maybe a backstory on how you came about these numbers could be useful. Does it make the overall search time faster?  Huh

Those numbers are factors of secp256k1 modified order

n    = 115792089237316195423570985008687907852837564279074904382605163141518161494337 (prime number)
n-1 = 115792089237316195423570985008687907852837564279074904382605163141518161494336 (composite number)

factorisation of n-1 into primes: 2*2*2*2*2*2 * 3 * 149 * 631 * 107361793816595537 * 174723607534414371449 * 341948486974166000522343609283189

18051648 = 2*2*2*2*2*2 * 3 * 149 * 631
9025824   = 2*2*2*2*2 * 3 * 149 * 631
6017216   = 2*2*2*2*2*2 * 149 * 631

and so on

I don't see any special magic here. In fact, BTC's real private key can be divisible by any prime number and also can be prime by itself. Due to the fact that secp256k1 is a cyclic group, we cannot check whether the result of dividing an unknown number (public key) is an integer or a fraction (in real math, outside of cyclic group), so we cannot make any meaningful conclusions from the results obtained.


CAN YOU PLEASE TELL ME HOW YOU ARE SELECTING THOSE PRIME NUMBERS CORRECTLY.


CAN YOU PROVIDE ME SOME EXAMPLE 447,596


THANKS
jr. member
Activity: 48
Merit: 11
from fastecdsa import curve
from fastecdsa.point import Point
import bit

G = curve.secp256k1.G
N = curve.secp256k1.q
DIV = '02AE3482B19E840288CC9B302AD9F5DC017AB796D3690CC8029017A8AF3503BE8E'
pubkey = '03ec0f4d728d248698a59d3a50a0469da06fdb8019700dfc5de9eae2dd93fc2bc8'

def pub2point(pub_hex):
    x = int(pub_hex[2:66], 16)
    if len(pub_hex) < 70:
        y = bit.format.x_to_y(x, int(pub_hex[:2], 16) % 2)
    else:
        y = int(pub_hex[66:], 16)
    return Point(x, y, curve=curve.secp256k1)


Q = pub2point(pubkey)
R = pub2point(DIV)
z= Q / R

print(z)


-----------------------------------------
>>>    z= Q / R
TypeError: unsupported operand type(s) for /: 'Point' and 'Point'




CAN ANYONE HELP,HOW TO CORRECT THIS

THANKS
I answer here
https://bitcointalksearch.org/topic/m.60649916
jr. member
Activity: 48
Merit: 11

z= Q / R



I think the operation is


z = Q * modInv(R, N) % N

1.  Modular Inverse R
2.  Q multiply Modular Inverse R
3.  Total Modular N
4.  the result is z

My understanding divided in the Elliptic Curve is not mean  10/2=5 is not divided by normal math
divided in Elliptic Curve = multiply the value with Inverse value  and the result is Modular with N

It is correct or not?
Did I understand wrong?


z = Q * modInv(R, N) % N

1.  Modular Inverse R
2.  Q multiply Modular Inverse R
3.  Total Modular N
4.  the result is z
member
Activity: 406
Merit: 47

z= Q / R



I think the operation is


z = Q * modInv(R, N) % N

1.  Modular Inverse R
2.  Q multiply Modular Inverse R
3.  Total Modular N
4.  the result is z

My understanding divided in the Elliptic Curve is not mean  10/2=5 is not divided by normal math
divided in Elliptic Curve = multiply the value with Inverse value  and the result is Modular with N

It is correct or not?
Did I understand wrong?
hero member
Activity: 510
Merit: 4005
TypeError: unsupported operand type(s) for /: 'Point' and 'Point'

CAN ANYONE HELP,HOW TO CORRECT THIS

THANKS

You cannot divide a 'Point' by another 'Point' for the same reason that you cannot multiply a 'Point' by another 'Point'.

See here: https://crypto.stackexchange.com/questions/88214/how-do-i-multiply-two-points-on-an-elliptic-curve
newbie
Activity: 14
Merit: 0
from fastecdsa import curve
from fastecdsa.point import Point
import bit

G = curve.secp256k1.G
N = curve.secp256k1.q
DIV = '02AE3482B19E840288CC9B302AD9F5DC017AB796D3690CC8029017A8AF3503BE8E'
pubkey = '03ec0f4d728d248698a59d3a50a0469da06fdb8019700dfc5de9eae2dd93fc2bc8'

def pub2point(pub_hex):
    x = int(pub_hex[2:66], 16)
    if len(pub_hex) < 70:
        y = bit.format.x_to_y(x, int(pub_hex[:2], 16) % 2)
    else:
        y = int(pub_hex[66:], 16)
    return Point(x, y, curve=curve.secp256k1)


Q = pub2point(pubkey)
R = pub2point(DIV)
z= Q / R

print(z)


-----------------------------------------
>>>    z= Q / R
TypeError: unsupported operand type(s) for /: 'Point' and 'Point'




CAN ANYONE HELP,HOW TO CORRECT THIS

THANKS
member
Activity: 406
Merit: 47
I just follow this topic about subtracting

how can I use subtracting to find some point that adds a point then the result is pubkey 120?
subtracting is not real subtracting like   9-1=8  and I can add 8+1=9  like this right
this subtracting will be subtracted to another point right
So, pubkey can not do reverse roll back one step before right?

legendary
Activity: 1568
Merit: 6660
bitcoincleanup.com / bitmixlist.org
dec = 104856515000339101452906010972016177983340459646873053037069757574992766929113

hex = E7D2AF2FC9FF9CAF795D2EED256567679873FC547A513AA85A8A2E2776AB88D9

pubkey = 038141a3381c97660163ce69acf22d5a0cc8c09fcbb624fa556ff17629b4b31918

can any one know how he found this.

thanks

Well seeing I'm the one who made this thread, they appear to be multiplying the privkey with the pubkey to get a different pubkey/address:

G*p*p = (G*p)*p = P*p, not that this helps with computing any private key. I imagine it would be more useful in generating vanity addresses , provided that two different values are used, not just two p's.
newbie
Activity: 14
Merit: 0
you just explained that it has already been spend found. whe testing that key or what, what addition to add if found to get the right pvk. address. thanks



This is another good example with privrange ( ((2^60) - 986458768829923488 ) pubkey:



0x db09b0615ad40a0 * 038141a3381c97660163ce69acf22d5a0cc8c09fcbb624fa556ff17629b4b31918

=

0348e843dc5b1bd246e6309b4924b81543d02b16c8083df973a89ce2c7eb89a10d(this is has a range 2^60 (address - 1Kn5h2qpgw9mWE5jKpk8PP4qvvJ1QVy8su))


This is a part of privkey - 986458768829923488 in hex db09b0615ad40a0.



No one can't find a privkey of 038141a3381c97660163ce69acf22d5a0cc8c09fcbb624fa556ff17629b4b31918 ?  Roll Eyes



dec = 104856515000339101452906010972016177983340459646873053037069757574992766929113

hex = E7D2AF2FC9FF9CAF795D2EED256567679873FC547A513AA85A8A2E2776AB88D9

pubkey = 038141a3381c97660163ce69acf22d5a0cc8c09fcbb624fa556ff17629b4b31918

can any one know how he found this.

thanks
jr. member
Activity: 70
Merit: 1
this tool write subtract in c language https://github.com/WanderingPhilosopher/Windows-KeySubtractor/releases/tag/v1.0


yes i know this git code
i am not understand c language so,
                         
input two point
privatekey    3     -    2      =   1
                 point1 - point2 = point3
                                               X                                                                                                                         Y
point1 f9308a019258c31049344f85f89d5229b531c845836f99b08601f113bce036f9      388f7b0f632de8140fe337e62a37f3566500a99934c2231b6cb9fd7584b8e672
point2 c6047f9441ed7d6d3045406e95c07cd85c778e4b8cef3ca7abac09b95c709ee5   1ae168fea63dc339a3c58419466ceaeef7f632653266d0e1236431a950cfe52a


i need 3rd point subtract value

please write easy understand make python or explain mathematicaly
full member
Activity: 706
Merit: 111


mean that is x2
what you want is important what is correct location of x1, x2, x3
if you calc wrong, you will never reach at your target

It doesn't matter what your x1 is or x2. Someone will jump from a different point to eg. Point 2 in that example and in this case that point will be Point 1 with (x1, y1) and someone else will jump to eg. Point 6 in that example and in that case that point will be Point 1 with (x1, y1). But both will have as result the point

x = 0x991eb8eb2e45b4bc9c71bc9a022832e712a8dc1b2db62bd7456e49b2d9f7dac8
y = 0x14c3c6d1a538e95f34bf05f71d9e90b8ba6195e33f0d6dd7c97695e21a09ca63

as their reference point (the lowest values for x and y in the 6-Point-Group) and will go on with that point.

Thereafter they will always have the same reference point and in the case of 'tame' and 'wild' it would lead to a solution.

Whatever happened to this?
member
Activity: 406
Merit: 47
This thread subtracting stop to talk meaning it is not works right?
if it is possible work can possible explain to new arrival to know again
thread is continue from talk on kangaroo thread page 8x -9x
seem need to understand knowledge  about bit and ECDLP to understand right?
member
Activity: 873
Merit: 22
$$P2P BTC BRUTE.JOIN NOW ! https://uclck.me/SQPJk


mean that is x2
what you want is important what is correct location of x1, x2, x3
if you calc wrong, you will never reach at your target

It doesn't matter what your x1 is or x2. Someone will jump from a different point to eg. Point 2 in that example and in this case that point will be Point 1 with (x1, y1) and someone else will jump to eg. Point 6 in that example and in that case that point will be Point 1 with (x1, y1). But both will have as result the point

x = 0x991eb8eb2e45b4bc9c71bc9a022832e712a8dc1b2db62bd7456e49b2d9f7dac8
y = 0x14c3c6d1a538e95f34bf05f71d9e90b8ba6195e33f0d6dd7c97695e21a09ca63

as their reference point (the lowest values for x and y in the 6-Point-Group) and will go on with that point.

Thereafter they will always have the same reference point and in the case of 'tame' and 'wild' it would lead to a solution.



Hello.

Maybe is more simple get lovest or highest point from yours screen, and substract her from pubkey and brute after ?

Regard.
copper member
Activity: 76
Merit: 11


mean that is x2
what you want is important what is correct location of x1, x2, x3
if you calc wrong, you will never reach at your target

It doesn't matter what your x1 is or x2. Someone will jump from a different point to eg. Point 2 in that example and in this case that point will be Point 1 with (x1, y1) and someone else will jump to eg. Point 6 in that example and in that case that point will be Point 1 with (x1, y1). But both will have as result the point

x = 0x991eb8eb2e45b4bc9c71bc9a022832e712a8dc1b2db62bd7456e49b2d9f7dac8
y = 0x14c3c6d1a538e95f34bf05f71d9e90b8ba6195e33f0d6dd7c97695e21a09ca63

as their reference point (the lowest values for x and y in the 6-Point-Group) and will go on with that point.

Thereafter they will always have the same reference point and in the case of 'tame' and 'wild' it would lead to a solution.
member
Activity: 873
Merit: 22
$$P2P BTC BRUTE.JOIN NOW ! https://uclck.me/SQPJk
in short
when you create x1, x2, x3
pubkey will be break in raw, and back to reconstruct, and you will get proper series of x1, x2, x3
above my pubkey proper x1, x2, x3 is here
x1 = a673e97568057fb5f41c35d6ed6c88ef97510d71222b3686ef892f4ccc2af536
x2 = 991eb8eb2e45b4bc9c71bc9a022832e712a8dc1b2db62bd7456e49b2d9f7dac8
x3 = c06d5d9f69b4cb8d6f720d8f106b442956061673b01e9da1cb0886fe59dd2860

mean that is x2
what you want is important what is correct location of x1, x2, x3
if you calc wrong, you will never reach at your target



Bro, what exact you mean ?

Quote
Compressed
Address
15wJjXvfQzo3SXqoWGbWZmNYND1Si4siqV
Public Key (hex)
020000000000000000000000000000000000000000000000000000000000000000
P


040000000000000000000000000000000000000000000000000000000000000000218f8534c5bf3 c23b4c1c32b6295484c1473ce4bd628ae258acbb955a0fcb75e 1FPjjJiE8XN6uG2NUmkWK4Au3uSnyKGr5p


If for example any public P(x,Y) key without transaction and without balance, but another point P1(0(zero),Y with ballance and transaction it miant what P(x,Y) on the curve ?  and any other P what have no transactions and no ballance not on the curve and if use this points success will be zero ?
member
Activity: 348
Merit: 34
in short
when you create x1, x2, x3
pubkey will be break in raw, and back to reconstruct, and you will get proper series of x1, x2, x3
above my pubkey proper x1, x2, x3 is here
x1 = a673e97568057fb5f41c35d6ed6c88ef97510d71222b3686ef892f4ccc2af536
x2 = 991eb8eb2e45b4bc9c71bc9a022832e712a8dc1b2db62bd7456e49b2d9f7dac8
x3 = c06d5d9f69b4cb8d6f720d8f106b442956061673b01e9da1cb0886fe59dd2860

mean that is x2
what you want is important what is correct location of x1, x2, x3
if you calc wrong, you will never reach at your target
full member
Activity: 206
Merit: 450
So it works in the full range of 2^256 so what would be the expected operations?

  • 1 point addition to have Point (x1, y1)
  • 1 subtraction to get y2
  • 2 multiplications to get x2 and x3
  • comparisions to get lowest x and lowest y

Then you will have all x and y coordinates for all 6 points with the effort of less than 2 point additions, what will increase the speed enormously.

  • 1 point addition to have Point (x1, y1)
  • 2 subtractions to get y2 and the corresponding private key
  • 4 multiplications to get x2 and x3, and their corresponding private keys
  • 3 comparisions to get lowest x and lowest y

The speedup works only on Pollard Rho, at most sqrt(6) = 2.44 times. For Kangaroo only the negation (y) is applicable, with speedup at most 1.41 times (and bigger variance?) - AFAIK Jean-Luc uses it already.

All this is well known:
if we have a point (x,y) = k*G, the 6 points are
(aix, bjy) = cidj*(k*G)
with
a3 = 1 mod p (matching the chosen value of c)
b2 = 1 mod p
c3 = 1 mod n (matching the chosen value of a)
d2 = 1 mod n
i∈{0,1,2}
j∈{0,1}.
One can calculate the numbers by finding the primitive roots mod p and n
I.E.
rp = 77643668876891235360856744073230947502707792537156648322526682022085734511405
rn = 106331823171076060141872636901030920105366729272408102113527681246281393517969
a = (rp(p-1)/3)2 = 55594575648329892869085402983802832744385952214688224221778511981742606582254
b = rp(p-1)/2 = 115792089237316195423570985008687907853269984665640564039457584007908834671662 = -1
c = rn(n-1)/3 = 37718080363155996902926221483475020450927657555482586988616620542887997980018
d = rn(n-1)/2 = 115792089237316195423570985008687907852837564279074904382605163141518161494336 = -1
full member
Activity: 706
Merit: 111
So it works in the full range of 2^256 so what would be the expected operations?

  • 1 point addition to have Point (x1, y1)
  • 1 subtraction to get y2
  • 2 multiplications to get x2 and x3
  • comparisions to get lowest x and lowest y

Then you will have all x and y coordinates for all 6 points with the effort of less than 2 point additions, what will increase the speed enormously.

Expected operations in time as in how long would it take to solve a key?
Pages:
Jump to: