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    • 4. 发明授权
    • Arithmetic device
    • 算术设备
    • US08782114B2
    • 2014-07-15
    • US13355642
    • 2012-01-23
    • Tomoko YonemuraTaichi IsogaiHirofumi MurataniAtsushi ShimboYoshikazu HanataniKenichiro FurutaKenji OhkumaYuichi KomanoHanae Ikeda
    • Tomoko YonemuraTaichi IsogaiHirofumi MurataniAtsushi ShimboYoshikazu HanataniKenichiro FurutaKenji OhkumaYuichi KomanoHanae Ikeda
    • G06F7/00H04L9/30
    • 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 Fp^m, 0≦i≦n−1) that is a projective representation of a member g of an n-th degree algebraic torus Tn(Fp^m) (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 Fp^m, 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 Fp^m operation that is arithmetic operation in the finite field Fp^m 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 Fp^mn operation that is arithmetic operation of a finite field Fp^mn in combination with the Fp^m operation.
    • 根据一个实施例,表示转换单元将n个元素(h0,h1,...,hn-1)(hi:有限域Fp ^ m,0≦̸ i≦̸ n-1的成员)的集合转换为 是由一组n个元素表示的有限投影表示的n阶代数环面Tn(Fp ^ m)(n:正整数,p:素数,m:正整数)的成员g的投影表示 (h'0,h'1,...,h'n-1)(h'i:有限域Fp ^ m,0≦̸ i≦̸ n-1的成员),其中至少一个元素 n个元素是零元素0或身份元素1.算术单元省略了Fp ^ m操作的一部分,这是基于n个元素集合中的元素(h)的事实的有限域Fp ^ m中的算术运算 由有限的投影表示表示的'0,h'1,...,h'n-1'是执行Fp ^ mn操作时的零元素“0”或身份元素“1”,这是运算有限的 场Fp ^ mn结合 Fp ^ m操作。