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1. 发明申请

US20100063986A1 COMPUTING DEVICE, METHOD, AND COMPUTER PROGRAM PRODUCT 有权
标题翻译：计算设备，方法和计算机程序产品
公开(公告)号：US20100063986A1
公开(公告)日：2010-03-11
申请号：US12393558
申请日：2009-02-26
申请人： Tomoko YONEMURA , Hirofumi MURATANI , Atsushi SHIMBO , Kenji OHKUMA , Taichi ISOGAI , Yuichi KOMANO , Kenichiro FURUTA , Yoshikazu HANATANI
发明人： Tomoko YONEMURA , Hirofumi MURATANI , Atsushi SHIMBO , Kenji OHKUMA , Taichi ISOGAI , Yuichi KOMANO , Kenichiro FURUTA , Yoshikazu HANATANI
IPC分类号： G06F17/10 , G06F7/38 , G06F7/52 , G06F7/50 , H04L9/28
CPC分类号： G06F17/10 , G06F7/724
摘要： In a computing device that calculates a square of an element in a finite field, a vector representation of the element in the finite field is accepted. The vector representation includes a plurality of elements. The computing device performs a multiplication operation on a base field using the accepted elements, and obtains a multiplication value. The multiplication operation is determined by a condition under which the element in the finite field is placed in an algebraic torus. The computing device performs an addition and subtraction operation using the obtained multiplication value and the accepted elements, and obtains a calculation result of the square of the element. The addition and subtraction operation is determined by the condition. The computing device then outputs the calculation result.
摘要翻译：在计算有限域中的元素的平方的计算设备中，接受有限域中元素的向量表示。向量表示包括多个元素。计算装置使用接受的元素对基地区进行乘法运算，得到乘法值。乘法运算由有限域内的元素置于代数圆环中的条件决定。计算装置使用所获得的乘法值和可接受的元素进行加减运算，并获得元素的平方的计算结果。加法和减法操作由条件确定。计算装置然后输出计算结果。

2. 发明申请

US20100046741A1 APPARATUS, METHOD, AND COMPUTER PROGRAM PRODUCT FOR DECRYPTING, AND APPARATUS, METHOD, AND COMPUTER PROGRAM PRODUCT FOR ENCRYPTING 审中-公开
标题翻译：装置，方法和用于分解的计算机程序产品，以及加密的装置，方法和计算机程序产品
公开(公告)号：US20100046741A1
公开(公告)日：2010-02-25
申请号：US12390732
申请日：2009-02-23
申请人： Taichi ISOGAI , Tomoko YONEMURA , Hirofumi MURATANI , Atsushi SHIMBO , Kenji OHKUMA , Yuichi KOMANO , Kenichiro FURUTA , Yoshikazu HANATANI
发明人： Taichi ISOGAI , Tomoko YONEMURA , Hirofumi MURATANI , Atsushi SHIMBO , Kenji OHKUMA , Yuichi KOMANO , Kenichiro FURUTA , Yoshikazu HANATANI
IPC分类号： H04L9/28
CPC分类号： H04L9/3013 , H04L2209/30
摘要： An input unit inputs encrypted data that elements of a subgroup and expressed in an affine representation. A transforming unit transforms the inputted encrypted data into projective representation data expressed in a projective representation. A plain data calculating unit subjects the projective representation data to a decrypting process previously defined by a cryptosystem, thereby calculating plain data expressed in the projective representation.
摘要翻译：输入单元输入加密数据，该数据是子组的元素并以仿射表示表示。变换单元将输入的加密数据转换成以投影表示形式表示的投影表示数据。平原数据计算单元使投影表示数据进行先前由密码系统定义的解密处理，从而计算以投影表示形式表示的简单数据。

3. 发明申请

US20120124114A1 ARITHMETIC DEVICE 失效
标题翻译：算术设备
公开(公告)号：US20120124114A1
公开(公告)日：2012-05-17
申请号：US13355642
申请日：2012-01-23
申请人： Tomoko YONEMURA , Taichi ISOGAI , Hirofumi MURATANI , Atsushi SHIMBO , Yoshikazu HANATANI , Kenichiro FURUTA , Kenji OHKUMA , Yuichi KOMANO , Hanae IKEDA
发明人： Tomoko YONEMURA , Taichi ISOGAI , Hirofumi MURATANI , Atsushi SHIMBO , Yoshikazu HANATANI , Kenichiro FURUTA , Kenji OHKUMA , Yuichi KOMANO , Hanae IKEDA
IPC分类号： G06F7/00
CPC分类号： H04L9/3073
摘要： 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.
摘要翻译：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＆nlE; i＆nlE; 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＆nlE; i＆nlE; 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。

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