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1. 发明授权

EP1653428B1 ELLIPTIC CURVE ENCRYPTING DEVICE, ELLIPTIC CURVE ENCRYPTING METHOD, ELLIPTIC CURVE ENCRYPTING PROGRAM AND COMPUTER-READABLE RECORDING MEDIUM RECORDING THAT PROGRAM 有权
标题翻译： DEVICE FOR的椭圆曲线加密，METHOD FOR的椭圆曲线加密，方法计划椭圆曲线和程序记录的计算机读取的记录介质
公开(公告)号：EP1653428B1
公开(公告)日：2012-08-15
申请号：EP03817985.9
申请日：2003-08-06
申请人： FUJITSU LIMITED
发明人： IZU, Tetsuya, c/o FUJITSU LIMITED , ITOH, Kouichi, c/o FUJITSU LIMITED , TAKENAKA, Masahiko, c/o FUJITSU LIMITED , TORII, Naoya, c/o FUJITSU LIMITED
IPC分类号： G06F7/72
CPC分类号： G06F7/725 , G06F2207/7223 , G06F2207/7228 , H04L9/003 , H04L9/3066 , H04L2209/08
摘要： An elliptic curve encrypting device for performing an elliptic curve encryption processing. The elliptic curve encrypting device comprises a coordinates conversion unit (23) for converting the coordinates (X: Y: Z) of a point P on an elliptic curve on a finite element GF (p ^ m) into coordinates (r1 × (X - s1) : r2 × (Y - s2) : r3 × (Z - s3)) ( p is prime number, m integer of at least 1, r1, r2, r3 respectively integers of at least 1 and up to (p-1), and s1, s2, s3 respectively integers of at least zero and up to (p-1), and code ^ denotes exponentiation), and a scalar multiplication operating unit (22) for performing a scalar multiplication of the point on the elliptic curve converted by this coordinates conversion unit (23), wherein at least one of parameters s1, s2, s3 has a value other than zero, whereby a scalar multiplication in elliptic curve encrypting can be calculated with resistance to a side-channel attach.

2. 发明授权

EP1650727B1 METHOD FOR CALCULATING CONVERSION PARAMETER OF MONTGOMERY MULTIPLICATION REMAINDER 有权
标题翻译： METHOD FOR A转换参数蒙哥马利乘法除法休息的计算
公开(公告)号：EP1650727B1
公开(公告)日：2010-06-02
申请号：EP03817774.7
申请日：2003-07-31
申请人： FUJITSU LIMITED
发明人： ITOH, Kouichi, c/o FUJITSU LIMITED , TAKENAKA, Masahiko, c/o FUJITSU LIMITED , TORII, Naoya, c/o FUJITSU LIMITED
IPC分类号： G06F7/72
CPC分类号： G06F7/728

3. 发明公开

EP1548687A1 TAMPER-RESISTANT ELLIPTICAL CURVE ENCRYPTION USING SECRET KEY 有权
标题翻译：手工制作VERSCHLÜSSELUNGMIT ELLIPTISCHER KURVE UNTER VERWENDUNG EINESGEHEIMSCHLÜSSELS
公开(公告)号：EP1548687A1
公开(公告)日：2005-06-29
申请号：EP02786146.7
申请日：2002-12-18
申请人： FUJITSU LIMITED
发明人： TAKENAKA, Masahiko, c/o FUJITSU LIMITED , IZU, Tetsuya, c/o FUJITSU LIMITED , ITOH, Kouichi, c/o FUJITSU LIMITED , TORII, Naoya, c/o FUJITSU LIMITED
IPC分类号： G09C1/00 , H04L9/30
CPC分类号： G06F7/725 , G06F2207/7223
摘要： An encryption device (FIG. 15) performs elliptic curve encryption using a secret key. The encryption device includes: operation means (ECDBL, ECADD) for performing scalar multiplication of a point on an elliptic curve; storage (T[0]-T[2]) having a plurality of data storing areas; and means (SEL) for determining, in accordance with a bit sequence of a given value (d) and with a random value (RNG), an address of one of the plurality of data storage areas that is to be coupled to the operation means for each scalar multiplication.
摘要翻译：加密装置（图15）使用秘密密钥进行椭圆曲线加密。加密装置包括：用于执行椭圆曲线上的点的标量乘法的操作装置（ECDBL，ECADD）存储（TÄ0Ü-TÄ2Ü）具有多个数据存储区域; 以及用于根据给定值（d）的位序列和随机值（RNG）确定要耦合到操作装置的多个数据存储区域之一的地址的装置（SEL）对于每个标量乘法。

4. 发明授权

EP1548687B1 TAMPER-RESISTANT ELLIPTICAL CURVE ENCRYPTION USING SECRET KEY 有权
标题翻译：与椭圆曲线MANIPULATION抗性加密使用密钥
公开(公告)号：EP1548687B1
公开(公告)日：2013-01-09
申请号：EP02786146.7
申请日：2002-12-18
申请人： FUJITSU LIMITED
发明人： TAKENAKA, Masahiko, c/o FUJITSU LIMITED , IZU, Tetsuya, c/o FUJITSU LIMITED , ITOH, Kouichi, c/o FUJITSU LIMITED , TORII, Naoya, c/o FUJITSU LIMITED
IPC分类号： G06F7/72
CPC分类号： G06F7/725 , G06F2207/7223

5. 发明公开

EP1653428A1 ELLIPTIC CURVE ENCRYPTING DEVICE, ELLIPTIC CURVE ENCRYPTING METHOD, ELLIPTIC CURVE ENCRYPTING PROGRAM AND COMPUTER-READABLE RECORDING MEDIUM RECORDING THAT PROGRAM 有权
标题翻译： DEVICE FOR的椭圆曲线加密，METHOD FOR的椭圆曲线加密，方法计划椭圆曲线和程序记录的计算机读取的记录介质
公开(公告)号：EP1653428A1
公开(公告)日：2006-05-03
申请号：EP03817985.9
申请日：2003-08-06
申请人： FUJITSU LIMITED
发明人： IZU, Tetsuya, c/o FUJITSU LIMITED , ITOH, Kouichi, c/o FUJITSU LIMITED , TAKENAKA, Masahiko, c/o FUJITSU LIMITED , TORII, Naoya, c/o FUJITSU LIMITED
IPC分类号： G09C1/00 , H04L9/30
CPC分类号： G06F7/725 , G06F2207/7223 , G06F2207/7228 , H04L9/003 , H04L9/3066 , H04L2209/08
摘要： An elliptic curve cryptosystem apparatus performing an elliptic curve cryptosystem process has a coordinate transforming unit (23) for transforming coordinates (X:Y:Z) on a point P on an elliptic curve over a finite field GF(p^m) to coordinates (r1 × (X-s1):r2 × (Y-s2):r3 × (Z-s3)) (where, p is a prime number, m is an integer not less than 1, r1, r2 and r3 are integers not less than 1 and not larger than (p-1), s1, s2 and s3 are integer not less than 0 and not larger than (p-1), and a code "^" represents power), and a scalar multiplication operating unit (22) for performing scalar multiplication on the point on the elliptic curve transformed by the coordinate transforming unit (23), wherein at least one of the parameters s1, s2 and s3 has a value other than 0. The apparatus can perform the scalar multiplication in the elliptic curve cryptosystem, with resistance to side channel attacks.
摘要翻译：一个椭圆曲线密码系统设备执行在椭圆曲线密码系统过程具有坐标变换的坐标变换部（23）（X：Y：Z）上的点P上，以椭圆曲线上的有限域GF（p ^ m）至坐标（ R1×（X-S1）：R 2×（Y-S2）：R3×（Z-S3））（其中，p是质数，m是一个整数不小于1时，r1，r2和r3是整数不小于1和不大于（p-1），S1，S2和S3是整数不小于0并且不大于（p-1），和一个码“^” darstellt功率），和一个标量乘法运算单元大（22），用于由所述坐标变换单元（23）转化的椭圆曲线，参数s1的worin至少一个，S2和S3上的点进行标量乘法具有该装置可以执行标量乘0以外的值在椭圆曲线密码系统，具有侧通道攻击的抵抗性。

6. 发明公开

EP1650727A1 CALCULATOR, METHOD, AND PROGRAM FOR CALCULATING CONVERSION PARAMETER OF MONTGOMERY MULTIPLICATION REMAINDER 有权
标题翻译： VERFAHREN ZUM ERRECHNEN EINES KONVERTIERUNGSPARAMETERS AUS DEM MONTGOMERY-MULTIPLIKATIONS-DIVISIONSREST
公开(公告)号：EP1650727A1
公开(公告)日：2006-04-26
申请号：EP03817774.7
申请日：2003-07-31
申请人： FUJITSU LIMITED
发明人： ITOH, Kouichi, c/o FUJITSU LIMITED , TAKENAKA, Masahiko, c/o FUJITSU LIMITED , TORII, Naoya, c/o FUJITSU LIMITED
IPC分类号： G09C1/00 , G06F7/72
CPC分类号： G06F7/728
摘要： A method for calculating a conversion parameter of the Montgomery modular multiplication to improve the efficiency of software installation, comprising a first step for calculating H 0 = 2 v × R (mod n) (where v is an integer, v ≥ 1, and (m × k)/v is an integer), a second step for calculating Hp = 2 v×2^p × R (mod n) from H 0 = 2 v × R (mod n) by repeating H i = REDC(H i-1 , H i-1 ) n with respect to i = 1, 2, ..., p (where p represents an integer satisfying the condition 2 p ≥ (m × k)/v > 2 P-1 , REDC represents the Montgomery modular multiplication REDC(a, b) n = a × b × R -1 (mod n), and x^i represents exponential computation x i ); and a third step for calculating Hp = R 2 (mod n) by calculating Hp = REDC(H p , g) n with respect to Hp obtained in the second step when 2 P > (m × k)/v (where g = 2 k×E(p,m,k) , E(p, m, k) = 2 × m - (v × 2 P )/k) and finally outputting Hp as R 2 (mod n).
摘要翻译：一种用于计算蒙哥马利模乘的转换参数以提高软件安装效率的方法，包括计算H 0 = 2v×R（mod n）的第一步骤（其中v是整数v‰¥1，以及（m×k）/ v是整数），从H 0 = 2 v i = REDC（H i-1，H i-1）计算Hp = 2v×2 ^ p×R（mod n） 1）n相对于i = 1,2，...，p（其中p表示满足条件2 p‰¥（m×k）/ v> 2 P-1的整数，REDC表示蒙哥马利模数乘法REDC （a，b）n = a×b×R -1（mod n），x ^ i表示指数计算xi）; 以及第三步骤，当2 P>（m×k）/ v（其中g = k）/ v（其中g = k）/ v）时，通过计算Hp = REDC（H p，g） 2 k×E（p，m，k），E（p，m，k）= 2×m - （v×2 P）/ k），最后输出Hp为R 2（mod n）。

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