发明名称 PAIRING COMPUTATION METHOD, AND APPARATUS AND PROGRAM USING SAME
摘要 PROBLEM TO BE SOLVED: To make a computation speed of Miller algorithm high, specifically, to decrease a computational complexity when ellipse double precision operation continues twice. SOLUTION: X<SB>Q'</SB><SP>3</SP>and X<SB>Q'</SB><SP>2</SP>are calculated beforehand and recorded in a record section. If necessary, X<SB>Q'</SB><SP>3</SP>and X<SB>Q'</SB><SP>2</SP>are read out from the record section and computation of l<SB>2(n)</SB>(Q')<SP>2</SP>×xl<SB>2(n-1)</SB>(Q')=(X<SB>Q'</SB>-X<SB>n</SB>)<SP>2</SP>(X<SB>Q'</SB>-X<SB>n-1</SB>)is computed by X<SB>Q'</SB><SP>3</SP>-(2X<SB>n</SB>+X<SB>n-1</SB>)X<SB>Q'</SB><SP>2</SP>+(2X<SB>n</SB>X<SB>n-1</SB>+X<SB>n</SB>)X<SB>Q'</SB>-X<SB>n</SB>X<SB>n-1</SB>. Here, a straight line for connecting 2T with O by ellipse double precision computation in recursive processing corresponding to the n-th bit, is l<SB>2(n)</SB>(x,y)=0. COPYRIGHT: (C)2007,JPO&INPIT
申请公布号 JP2006330495(A) 申请公布日期 2006.12.07
申请号 JP20050156018 申请日期 2005.05.27
申请人 NIPPON TELEGR & TELEPH CORP <NTT> 发明人 KOBAYASHI TETSUTARO;AOKI KAZUMARO
分类号 G09C1/00 主分类号 G09C1/00
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