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    • 5. 发明申请
    • ARITHMETIC DEVICE
    • 算术设备
    • US20120124114A1
    • 2012-05-17
    • US13355642
    • 2012-01-23
    • Tomoko YONEMURATaichi ISOGAIHirofumi MURATANIAtsushi SHIMBOYoshikazu HANATANIKenichiro FURUTAKenji OHKUMAYuichi KOMANOHanae IKEDA
    • Tomoko YONEMURATaichi ISOGAIHirofumi MURATANIAtsushi SHIMBOYoshikazu HANATANIKenichiro FURUTAKenji OHKUMAYuichi KOMANOHanae IKEDA
    • G06F7/00
    • H04L9/3073
    • According to one embodiment, a representation converting unit converts a set of n elements (h0, h1, . . . , hn−1) (hi: a member of a finite field Fp̂m, 0≦i≦n−1) that is a projective representation of a member g of an n-th degree algebraic torus Tn(Fp̂m) (n: positive integer, p: prime number, m: positive integer) into a limited projected representation expressed by a set of n elements (h′0, h′1, . . . , h′n−1) (h′i: a member of the finite field Fp̂m, 0≦i≦n−1) in which at least one element out of the n elements is a zero element 0 or an identity element 1. An arithmetic unit omits part of Fp̂m operation that is arithmetic operation in the finite field Fp̂m based on a fact that an element in the set of n elements (h′0, h′1, . . . , h′n−1) represented by the limited projective representation is a zero element “0” or an identity element “1” when performing Fp̂mn operation that is arithmetic operation of a finite field Fp̂mn in combination with the Fp̂m operation.
    • 根据一个实施例,表示转换单元将一组n个元素(h0,h1,...,hn-1)(hi:有限域Fpm,0≦̸ i≦̸ n-1的成员) 由n个元素(h'0)表示的有限投影表示中的n次代数圆环Tn(Fpm)(n:正整数,p:素数,m:正整数)的成员g的投影表示 ,h'1,...,h'n-1)(h'i:有限域Fpm,0≦̸ i≦̸ n-1的成员),其中n个元素中的至少一个元素为零 元素0或身份元素1.运算单元基于以下事实省略了在有限域Fpm中的算术运算的Fpm运算的一部分:n个元素(h'0,h'1,..., ,由有限的投影表示表示的h'n-1是在组合中执行有限域Fpmn的算术运算的Fpmn运算时的零元素“0”或单位元素“1” 随着Fpm操作。