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PAIRING COMPUTATION DEVICE, PAIRING COMPUTATION METHOD, AND RECORDING MEDIUM WHERE PAIRING COMPUTATION PROGRAM IS RECORDED 新技術説明会

Foreign code F110002665
File No. S2008-0053-C0
Posted date 2011年4月6日
Country 世界知的所有権機関(WIPO)
International application number 2008JP069683
International publication number WO 2009/057656
Date of international filing 平成20年10月29日(2008.10.29)
Date of international publication 平成21年5月7日(2009.5.7)
Priority data
  • 特願2007-282487 (2007.10.30) JP
Title PAIRING COMPUTATION DEVICE, PAIRING COMPUTATION METHOD, AND RECORDING MEDIUM WHERE PAIRING COMPUTATION PROGRAM IS RECORDED 新技術説明会
Abstract A paring computation device, a pairing computation method, and a recording medium where a pairing computation program is recorded all enabling a pairing computation at high speed. An Ate pairing e(Q, P) is defined as formula (I). If k is an integral multiple of 3, 4, or 6, the computation of a rational function necessary to derive a Miller function fs,Q(P) is conducted in a true subfield specified by a twist curve using a quadratic or third-power non-residue v which takes on one when exponentiation of fs,Q(P) to (qk-1)/r-th power is carried out.
  • Applicant
  • ※All designated countries except for US in the data before July 2012
  • NATIONAL UNIVERSITY CORPORATION OKAYAMA UNIVERSITY
  • Inventor
  • AKANE, Masataka
  • NOGAMI, Yasuyuki
  • MORIKAWA, Yoshitaka
IPC(International Patent Classification)
Specified countries AE(UTILITY MODEL),AG,AL(UTILITY MODEL),AM(PROVISIONAL PATENT)(UTILITY MODEL),AO(UTILITY MODEL),AT(UTILITY MODEL),AU,AZ(UTILITY MODEL),BA,BB,BG(UTILITY MODEL),BH(UTILITY MODEL),BR(UTILITY MODEL),BW(UTILITY MODEL),BY(UTILITY MODEL),BZ(UTILITY MODEL),CA,CH,CN(UTILITY MODEL),CO(UTILITY MODEL),CR(UTILITY MODEL),CU(INVENTOR'S CERTIFICATE),CZ(UTILITY MODEL),DE(UTILITY MODEL),DK(UTILITY MODEL),DM(UTILITY MODEL),DO(UTILITY MODEL),DZ,EC(UTILITY MODEL),EE(UTILITY MODEL),EG(UTILITY MODEL),ES(UTILITY MODEL),FI(UTILITY MODEL),GB,GD,GE(UTILITY MODEL),GH(UTILITY CERTIFICATE),GM,GT(UTILITY MODEL),HN,HR(CONSENSUAL PATENT),HU(UTILITY MODEL),ID,IL,IN,IS,KE(UTILITY MODEL),KG(UTILITY MODEL),KM,KN,KP(INVENTOR'S CERTIFICATE)(UTILITY MODEL),KR(UTILITY MODEL),KZ(PROVISIONAL PATENT)(UTILITY MODEL),LA,LC,LK,LR,LS(UTILITY MODEL),LT,LU,LY,MA,MD(UTILITY MODEL),ME(PETTY PATENT),MG,MK,MN,MW,MX(UTILITY MODEL),MY(UTILITY-INNOVATION),MZ(UTILITY MODEL),NA,NG,NI(UTILITY MODEL),NO,NZ,OM(UTILITY MODEL),PG,PH(UTILITY MODEL),PL(UTILITY MODEL),PT(UTILITY MODEL),RO,RS(PETTY PATENT),RU(UTILITY MODEL),SC,SD,SE,SG,SK(UTILITY MODEL),SL(UTILITY MODEL),SM,ST,SV(UTILITY MODEL),SY,TJ(UTILITY MODEL),TM(PROVISIONAL PATENT),TN,TR(UTILITY MODEL),TT(UTILITY CERTIFICATE),TZ,UA(UTILITY MODEL),UG(UTILITY CERTIFICATE),US,UZ(UTILITY MODEL),VC(UTILITY CERTIFICATE),VN(PATENT FOR UTILITY SOLUTION),ZA,ZM,ZW,EP(AT,BE,BG,CH,CY,CZ,DE,DK,EE,ES,FI,FR,GB,GR,HR,HU,IE,IS,IT,LT,LU,LV,MC,MT,NL,NO,PL,PT,RO,SE,SI,SK,TR),OA(BF(UTILITY MODEL),BJ(UTILITY MODEL),CF(UTILITY MODEL),CG(UTILITY MODEL),CI(UTILITY MODEL),CM(UTILITY MODEL),GA(UTILITY MODEL),GN(UTILITY MODEL),GQ(UTILITY MODEL),GW(UTILITY MODEL),ML(UTILITY MODEL),MR(UTILITY MODEL),NE(UTILITY MODEL),SN(UTILITY MODEL),TD(UTILITY MODEL),TG(UTILITY MODEL)),AP(BW(UTILITY MODEL),GH(UTILITY MODEL),GM(UTILITY MODEL),KE(UTILITY MODEL),LS(UTILITY MODEL),MW(UTILITY MODEL),MZ(UTILITY MODEL),NA(UTILITY MODEL),SD(UTILITY MODEL),SL(UTILITY MODEL),SZ(UTILITY MODEL),TZ(UTILITY MODEL),UG(UTILITY MODEL),ZM(UTILITY MODEL),ZW(UTILITY MODEL)),EA(AM,AZ,BY,KG,KZ,MD,RU,TJ,TM)

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