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# RATIONAL POINT INFORMATION COMPRESSION DEVICE, RATIONAL POINT INFORMATION COMPRESSION METHOD, AND RATIONAL POINT INFORMATION COMPRESSION PROGRAM

外国特許コード F120006660 S2011-0015 2012年5月22日 世界知的所有権機関（ＷＩＰＯ） 2011JP073098 WO 2012/046805 平成23年10月6日(2011.10.6) 平成24年4月12日(2012.4.12) 特願2010-228250 (2010.10.8) JP RATIONAL POINT INFORMATION COMPRESSION DEVICE, RATIONAL POINT INFORMATION COMPRESSION METHOD, AND RATIONAL POINT INFORMATION COMPRESSION PROGRAM Provided are a rational point information compression device, a rational point information compression method, and a rational point information compression program which compress and restore rational point information for a rational point group with an embedded degree of 1. With an additive group formed of rational points on an elliptical curve defined over a finite field Fp of a characteristic P designated E(Fp), and sets of rational points having a composite number order r, i.e., subgroups of the additive group, designated G1 = E(Fp)[r] and G2 = E(Fp)[r], rational points P member G1 and Q member G2 are compressed into the rational point R by the formula R = P + Q when being transmitted, and the rational point R is factored and restored into the rational points P and Q at the receiving end, thus shortening the data length involved in transmission and reception. NATIONAL UNIVERSITY CORPORATION OKAYAMA UNIVERSITY NOGAMI Yasuyuki MORIKAWA Yoshitaka IZUTA Tetsuya G09C   1/00      あらかじめ決められた方式によって，符号または符号群を入れかえ，またはそれらと他を置き換えることによって，与えられた符号の順序，例．理解できる原文，を理解できない符号の順序に交換する装置または方法 H04L   9/32      システムの利用者の身元または権限の照合のための手段を含むもの AE(UTILITY MODEL),AG,AL(UTILITY MODEL),AM(PROVISIONAL PATENT)(UTILITY MODEL),AO(UTILITY MODEL),AT(UTILITY MODEL),AU,AZ(UTILITY MODEL),BA(CONSENSUAL PATENT),BB,BG(UTILITY MODEL),BH(UTILITY MODEL),BR(UTILITY MODEL),BW,BY(UTILITY MODEL),BZ(UTILITY MODEL),CA,CH,CL(UTILITY MODEL),CN(UTILITY MODEL),CO(UTILITY MODEL),CR(UTILITY MODEL),CU(INVENTOR'S CERTIFICATE),CZ(UTILITY MODEL),DE(UTILITY MODEL),DK(UTILITY MODEL),DM,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(UTILITY MODEL),HR(CONSENSUAL PATENT),HU(UTILITY MODEL),ID,IL,IN,IS,JP(UTILITY MODEL),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,MG,MK,MN,MW,MX(UTILITY MODEL),MY(UTILITY-INNOVATION),MZ(UTILITY MODEL),NA,NG,NI(UTILITY MODEL),NO,NZ,OM(UTILITY MODEL),PE(UTILITY MODEL),PG,PH(UTILITY MODEL),PL(UTILITY MODEL),PT(UTILITY MODEL),QA,RO,RS(PETTY PATENT),RU(UTILITY MODEL),RW(UTILITY MODEL),SC,SD,SE,SG,SK(UTILITY MODEL),SL(UTILITY MODEL),SM,ST,SV(UTILITY MODEL),SY,TH(PETTY PATENT),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(AL,AT,BE,BG,CH,CY,CZ,DE,DK,EE,ES,FI,FR,GB,GR,HR,HU,IE,IS,IT,LT,LU,LV,MC,MK,MT,NL,NO,PL,PT,RO,RS,SE,SI,SK,SM,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),LR(UTILITY MODEL),LS(UTILITY MODEL),MW(UTILITY MODEL),MZ(UTILITY MODEL),NA(UTILITY MODEL),RW(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)