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Spartan: Efficient and general-purpose zkSNARKs without trusted setup

Spartan: Efficient and general-purpose zkSNARKs without trusted setup

Spartan Review in Japanese , Spartanの解説(暗号通貨輪読会 #31) @ the University of Tokyo

Title: Spartan: Efficient and general-purpose zkSNARKs without trusted setup
Author: Srinath Setty (Microsoft Research)
Published: May 22, 2019
Link: https://eprint.iacr.org/2019/550

P.S. (追記) Aug 3, 2019
added 52nd page, 52ページ目追加しました。

Takaya Imai

July 01, 2019
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  1. 4QBSUBO
    ʲ҉߸௨՟ྠಡձʳ4QBSUBO!ϑϨηοπɺ౦ژେֶೆݚڀ౩

    ϑϩϯςΟΞύʔτφʔζ߹ಉձࣾ૑ۀऀ୅ද$&0
    6OJUFE#JUDPJOFST*ODڞಉ૑ۀऀ$50
    ϑϨηοπגࣜձࣾɹٕज़ސ໰
    ࠓҪਸ໵

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  2. ࣗݾ঺հ
    ϑϩϯςΟΞύʔτφʔζ߹ಉձࣾ ୅දCEO
    United Bitcoiners Inc. ڞಉ૑ۀऀˍऔక໾CTO
    ϑϨηοπגࣜձࣾɹٕज़ސ໰
    ϚελϦϯάϏοτίΠϯɺ຋༁ऀ୅ද
    ੈքͰॳΊͯͷɺ೔ຊޠʹΑΔϏοτίΠϯɾϒϩοΫνΣʔ
    ϯͷৄࡉٕज़ॻ(NTTग़൛ࣾ)
    શମͷׂ̕Λ຋༁
    ୈ̍̎࡮
    2016/7/14ग़൛
    ిࢠॻ੶൛(kindle)΋
    ΦʔϓϯΤσΟγϣϯ൛
    https://www.bitcoinbook.info
    ίϯαΠε൛ͱ߹Θͤͯ13,300෦ൃߦ

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  3. ࣗݾ঺հ
    όοΫάϥ΢ϯυ
    ৽ׁେֶେֶӃɹૉཻࢠཧ࿦෺ཧɹത࢜(ཧ)
    ΦϑνΣʔϯΞΧσϛʔ୅ද
    ೔ຊͰ࠷ॳͷϥΠτχϯάωοτϫʔΫϋοΧιϯ(off-chain academy hackday)Λओ

    ΧΧΫίϜ
    ݕࡧΤϯδϯ։ൃɹݕࡧαʔόΫϥελߏஙӡ༻ɹେن໛σʔλॲཧɹػցֶ
    शɹը૾ೝࣝ
    σʔλλϫʔגࣜձࣾɹ୅දऔక໾

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  4. ໨࣍
    w ࿦จͷ֓ཁ
    w ࿦จͷத਎
    *OUSPEVDUJPO
    3FMBUFEXPSL
    1SFMJNJOBSJFT
    0WFSWJFXPG4QBSUBO
    "OFXQVCMJDDPJO TVDDJODUJOUFSBDUJWFBSHVNFOUGPS/1

    $PNQVUBUJPODPNNJUNFOUT"UFDIOJRVFUPBDIJFWFTVCMJOFBS
    WFSJpDBUJPOUJNF

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  5. ࿦จͷ֓ཁ
    w 5JUMF
    w 4QBSUBO&⒏DJFOUBOEHFOFSBMQVSQPTF[L4/"3,TXJUIPVUUSVTUFETFUVQ
    w "VUIPS
    w 4SJOBUI4FUUZ .JDSPTPGU3FTFBSDI

    w 1VCMJTIFE
    w .BZ
    w -JOL
    w IUUQTFQSJOUJBDSPSH

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  6. IUUQTXXXNJDSPTPGUDPNFOVTSFTFBSDIQFPQMFTSJOBUI

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  7. IUUQTFQSJOUJBDSPSH

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  8. https://twitter.com/VitalikButerin/status/1131636529481359364

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  9. ࿦จͷ֓ཁ
    ݕূऀͷෛ୲ΛͲ͏΍ͬͯܰݮ͢Δ͔ʁ
    #VMMFUQSPPG͸0 O
    ɺ4QBSUBO͸0 O?


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  10. ࿦จͷ֓ཁ
    ݕূऀͷෛ୲ΛͲ͏΍ͬͯܰݮ͢Δ͔ʁ
    #VMMFUQSPPG͸0 O
    ɺ4QBSUBO͸0 O?


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  11. ࿦จͷ֓ཁ
    ݕূऀͷෛ୲ΛͲ͏΍ͬͯܰݮ͢Δ͔ʁ
    લ͸ઢܗ࣌ؒͰղ͚ΔΑ͏ʹ͢Δ͜ͱʹҙຯ͕͋ͬͨ
    ͕ɺ࠷ۙ͸TVCMJOFBS ྼઢܗ
    ࣌ؒͱ͍͏ઢܗ࣌ؒΑΓ΋
    ୹͍ෛ୲Ͱղ͚ΔΑ͏ʹɻ

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  12. ࿦จͷ֓ཁ
    ͡Ό͋[L45"3,TͰΑ͍ͷͰ͸ʁ
    ࢖༻Ͱ͖Δ৔߹͕ݶΒΕͯ͠·͏ɻ
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  13. ࿦จͷ֓ཁ
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    ূ໌ऀͱݕূऀͷ
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    4QBSUBO

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  14. ࿦จͷ֓ཁ
    ิ଍
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    wඇର࿩ͳܗͰ
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  19. ;FSP,OPXMFEHF1SPPG
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  21. IUUQXXXVOJUFECJUDPJOFSTDPNCMPHUVNCMFCJU

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  22. IUUQXXXVOJUFECJUDPJOFSTDPNCMPHUVNCMFCJU

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  23. /POJOUFSBDUJWF
    ඇର࿩ܕ

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    ͜Ε͸4JHNB1SPUPDPMͱݺ͹ΕΔର࿩ܕ

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  24. /POJOUFSBDUJWF
    ඇର࿩ܕ

    "MJDF ূ໌ऀ
    #PC ݕূऀ

    ίϛοτϝϯτ
    ϓϧʔϑ ਖ਼͍͔͠ΛνΣοΫ
    ͜Ε͸ඇର࿩ܕɻ
    'JBU4IBNJSώϡʔϦεςΟοΫͱ͔ɺ
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    ͱ͔͕ؔ࿈ɻ

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  25. ༻ޠઆ໌
    w5SBOTQBSFOU ಁ໌ͳ
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    wd[L45"3,

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  28. 3FMBUFEXPSL

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    ֬཰తʹ֬ೝՄೳͳূ໌
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  32. 1$1ʹ·ͭΘΔྺ࢙
    w೥Ҏલ͸੩తূ໌ TUBUJDQSPPG

    w೥୅ɺ೥୅͸*OUFSBDUJWF1SPPG ର࿩ܕূ໌

    w*OUFSBDUJWFl1SPPGz͸׬શੑɺ݈શੑ
    "SHVNFOUͰ͸ͳ͘

    w࣮༻ੑ͸ஔ͍͓͍ͯͯɺର࿩ܕʹ͢Δ͜ͱͰ׬ᘳΛٻΊͯ
    Έͨ
    w࣍ୈʹ1$1ʹҠ͍ͬͯ͘
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    IUUQTQFPQMFFFDTCFSLFMFZFEVdBMFYDIEPDT$44MFDUVSFQEG

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  33. 1$1ʹ·ͭΘΔྺ࢙
    w1$1͸೥͔Β
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  34. 1$1ʹ·ͭΘΔྺ࢙
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    *01 *OUFSBDUJWF0SBDMF1SPPG

    [L45"3, ೥

    Ұ෦ಡΈҧ͑ͯΔ͔΋͠Ε·ͤΜ
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    4VN$IFDL1SPUPDPM
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    )ZSBY೥

    1JOPDDIJP (SPUI

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  35. 1$1ʹ·ͭΘΔྺ࢙
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  36. [L4/"3,zTz
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  37. 1SFMJNJOBSJFT

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    ࢉज़ճ࿏ॆ଍Մೳੑ

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    1SPCMFN ॆ଍Մೳੑ໰୊
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    ޙ΄Ͳɻ

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  41. 4VN$IFDL1SPUPDPM
    wॆ଍ՄೳੑΛௐ΂Δͱ͖ʹ࢖͏ϓϩτίϧͷ̍ͭ
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    ͍ͨ͠ɻ
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  42. 4VN$IFDL1SPUPDPM
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    #PC͸ɺ"MJDFʹϥϕϧͷ৘ใΛӅͨ͠ঢ়ଶͰ̎ͭͷίοϓΛ"MJDFʹ౉͠ɺͲ
    ͪΒ͕ٱอా͔Λڭ͑ΔΑ͏ʹݴ͏ɻ
    "MJDF͸ɺ೔ຊञΛವΈɺϥϕϧΛ#PCʹ౴͑Δɻ
    #PC͸"MJDF͕౰͔ͨͬͨͲ͏͔ΛνΣοΫ͠ɺ౰͔ͨͬͨͲ͏͔ΛϝϞ͢
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  43. 4VN$IFDL1SPUPDPM

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  44. "SJUINFUJD$JSDVJU4BUJTpBCJMJUZ
    ࢉज़ճ࿏ॆ଍Մೳੑ

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    1SPCMFN ॆ଍Մೳੑ໰୊
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  46. 2"1
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  47. 2"1
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    ̎࣍ࢉज़ϓϩάϥϜ
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  49. "SJUINFUJD$JSDVJU4BUJTpBCJMJUZ
    ࢉज़ճ࿏ॆ଍Մೳੑ

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    1SPCMFN ॆ଍Մೳੑ໰୊
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  50. 7JUBMJLͷ[L4/"3,આ໌ͱ
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  53. 7JUBMJLͷ[L4/"3,આ໌ͱ
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