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1. 发明申请

WO2002089399A1 RING ARITHMETIC METHOD, SYSTEM, AND APPARATUS 审中-公开
标题翻译：环算术方法，系统和设备
公开(公告)号：WO2002089399A1
公开(公告)日：2002-11-07
申请号：PCT/US2002/013657
申请日：2002-05-01
申请人： LAYER N NETWORKS, INC. , MITCHELL, Oscar , DATTA, Rajat , STEIN, Kyle , BLAKLEY, George
发明人： MITCHELL, Oscar , DATTA, Rajat , STEIN, Kyle , BLAKLEY, George
IPC分类号： H04L9/28
CPC分类号： G06F7/72 , G01N2035/00247 , G01N2035/00574 , G06F7/723 , G06F7/727 , G06F7/728 , G06F13/1647 , G11C7/1066 , H04L9/302 , H04L47/125 , H04L63/0272 , H04L63/0428 , H04L63/166
摘要： A data encryption method performed with ring arithmetic operations using a residue number multiplication process wherein a first conversion to a first basis is done using a mixed radix system and a second conversion to a second basis is done using a mixed radix system. In some embodiments, a modulus C (96) is be chosen of the form 2 w - L, wherein C is a w-bit number and L is a low Hamming weight odd integer less than 2 (w-1)/2 . And in some of those embodiments, the residue mod C is calculated via several steps. P (98) is split into 2 w-bit words H 1 and L 1 (100). S 1 is calculated as equal to L 1 + (H 1 2 x1 ) + (H 1 2 x2 ) +...+ (H 1 2 xk ) + H 1 . S 1 is split into two w-bit words H 2 and L 2 . S 2 is computed as being equal to L 2 + (H 2 2 x1 ) + (H 2 2 x2 ) +...+ (H 2 2 xk ) + H 2 . S 3 is computed as being equal to S 2 + (2 x1 +...+ 2 xk + 1). And the residue is determined by comparing S 3 to 2 w . If S3 w , then the residue equals S 2 . If S 3 ≥ 2 w , then the residue equals S 3 - 2 w .
摘要翻译：利用残数乘法处理利用环算术运算执行的数据加密方法，其中使用混合基数系统完成到第一基础的第一转换，并且使用第二基础向第二基础转换到第二基础混合基数系统。在一些实施例中，模型C（96）被选择为形式2W-L，其中C是w位数并且L是小于2 （W-1）/ 2 。并且在这些实施例中的一些中，通过多个步骤来计算残余mod C. P（98）被分成2个w位字H 1和L 1（100）。 S 1被计算为等于L 1 +1（H 1×2×1）+（H×1） 1×2×2）+ ... +（H 1×2×K）+ H 1×2 。 S 1被分成两个w位字H 2和L 2。计算S 2 =等于L 2 +（H 2×2×1）+（H _{2×2×2）+ ... +（H 2×2×k）+ H 2× >。 S 3被计算为等于S 2 +（2·x 1 + ... + 2·xk·+ 1）。通过比较S 3到2 W来确定残余物。如果S3 < 2 w，那么残基等于S 2。如果S 3≥2W，那么残基等于S 3 -2 W 。}

2. 发明申请

WO2003030442A3 CISPONENTIATION METHOD, SOFTWARE, AND DEVICE FOR EXPONENTIATION 审中-公开
公开(公告)号：WO2003030442A3
公开(公告)日：2003-04-10
申请号：PCT/US2002/031278
申请日：2002-10-01
申请人： LAYER N NETWORKS, INC. , BLAKLEY, George , DATTA, Rajat , MITCHELL, Oscar , STEIN, Kyle
发明人： BLAKLEY, George , DATTA, Rajat , MITCHELL, Oscar , STEIN, Kyle
IPC分类号： H04L9/00
摘要： A method, software, and device for encrypting data, exchanging keys, and processing data that includes exponentiating by iteratively cisponentiating according to cisponentiator C(G, E, B, R, m)= G E BR mod m, wherein G is a fleeting multiplicand base, E is an enduring cisponent, B is a recurring multiplier, R is an enduring factor, and m is a persistent modulus. E may be a fixed characteristic of the cisponentiator. E may also be a power of 2. R may be fixed. In one of many possible combinations, E is a fixed characteristic of the cisponentiator, while R is fixed. In that case also, E may be a power of 2. Modulus m may be fixed. In one of many possible combinations, E is a fixed characteristic of the cisponentiator, R is fixed, and m is fixed. As one of many alternatives, data may be encrypted using asymmetric encryption.

3. 发明申请

WO2003030442A2 CISPONENTIATION METHOD, SOFTWARE, AND DEVICE FOR EXPONENTIATION 审中-公开
标题翻译： CISPONENTIATION方法，软件和用于指示的装置
公开(公告)号：WO2003030442A2
公开(公告)日：2003-04-10
申请号：PCT/US2002/031278
申请日：2002-10-01
申请人： LAYER N NETWORKS, INC. , BLAKLEY, George , DATTA, Rajat , MITCHELL, Oscar , STEIN, Kyle
发明人： BLAKLEY, George , DATTA, Rajat , MITCHELL, Oscar , STEIN, Kyle
IPC分类号： H04L9/00
CPC分类号： G11C7/1066 , G06F7/723 , G06F7/728
摘要： A method, software, and device for encrypting data, exchanging keys, and processing data that includes exponentiating by iteratively cisponentiating according to cisponentiator C(G, E, B, R, m)= G E BR mod m, wherein G is a fleeting multiplicand base, E is an enduring cisponent, B is a recurring multiplier, R is an enduring factor, and m is a persistent modulus. E may be a fixed characteristic of the cisponentiator. E may also be a power of 2. R may be fixed. In one of many possible combinations, E is a fixed characteristic of the cisponentiator, while R is fixed. In that case also, E may be a power of 2. Modulus m may be fixed. In one of many possible combinations, E is a fixed characteristic of the cisponentiator, R is fixed, and m is fixed. As one of many alternatives, data may be encrypted using asymmetric encryption.
摘要翻译：一种用于加密数据，交换密钥和处理数据的方法，软件和设备，所述方法，软件和设备包括通过根据顺式指数器C（G，E，B，R，m）= G

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