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1. 发明授权

EP3115887B1 METHOD, DEVICE AND NON-TRANSITORY COMPUTER-READABLE MEDIUM FOR CRYPTOGRAPHIC COMPUTATION 有权
公开(公告)号：EP3115887B1
公开(公告)日：2018-07-04
申请号：EP16162209.7
申请日：2016-03-24
申请人： Winbond Electronics Corp.
发明人： KALUZHNY, Uri
IPC分类号： G06F7/72
CPC分类号： G06F7/728 , G06F21/602 , G06F2207/7247
摘要： A method, a device and a non-transitory computer-readable medium for cryptographic computation are provided. The method for computation includes: receiving, in a Montgomery multiplier circuit having a predefined block size, a pair of operands A and B and a modulus M for computation of a Montgomery product of A and B mod M; specifying a number n of blocks of the predefined block size to be used in the computation; computing a blinded modulus M' as a multiple of the modulus M by a random factor R, M' = R*M, while selecting R so that the length of M' is less than n times the block size by at least two bits; and operating the Montgomery multiplier circuit to compute and output the Montgomery product of A and B mod M'.

2. 发明公开

EP3115887A1 METHOD, DEVICE AND NON-TRANSITORY COMPUTER-READABLE MEDIUM FOR CRYPTOGRAPHIC COMPUTATION 有权
标题翻译： VERFAHREN，VORRICHTUNG UND NICHTTRANSITORISCHES COMPUTERLESBARES MEDIUM ZUR KRYPTOGRAFISCHEN BERECHNUNG
公开(公告)号：EP3115887A1
公开(公告)日：2017-01-11
申请号：EP16162209.7
申请日：2016-03-24
申请人： Winbond Electronics Corp.
发明人： KALUZHNY, Uri
IPC分类号： G06F7/72
CPC分类号： G06F7/728 , G06F21/602 , G06F2207/7247
摘要： A method, a device and a non-transitory computer-readable medium for cryptographic computation are provided. The method for computation includes: receiving, in a Montgomery multiplier circuit having a predefined block size, a pair of operands A and B and a modulus M for computation of a Montgomery product of A and B mod M; specifying a number n of blocks of the predefined block size to be used in the computation; computing a blinded modulus M' as a multiple of the modulus M by a random factor R, M' = R*M, while selecting R so that the length of M' is less than n times the block size by at least two bits; and operating the Montgomery multiplier circuit to compute and output the Montgomery product of A and B mod M'.
摘要翻译：提供了一种用于密码计算的方法，装置和非暂时性计算机可读介质。计算方法包括：在具有预定块大小的蒙哥马利乘法器电路中接收一对操作数A和B，以及用于计算A和B mod M的蒙哥马利乘积的模数M; 指定要在计算中使用的预定块大小的数量n的块; 通过随机因子R，M'= R * M计算盲模M'作为模M的倍数，同时选择R使得M'的长度小于块大小的n倍至少两位; 并运行蒙哥马利乘数电路来计算和输出A和B mod M'的蒙哥马利产品。

3. 发明公开

EP2758893A4 MODULAR EXPONENTIATION WITH PARTITIONED AND SCATTERED STORAGE OF MONTGOMERY MULTIPLICATION RESULTS 审中-公开
标题翻译：蒙哥马利乘积结果分区和分散存储模幂
公开(公告)号：EP2758893A4
公开(公告)日：2015-05-27
申请号：EP12833099
申请日：2012-09-10
申请人： INTEL CORP
发明人： GEURON SHAY , KRASNOV VLAD
IPC分类号： G06F7/72
CPC分类号： G06F7/723 , G06F7/728 , G06F2207/7257
摘要： Embodiments of techniques and systems for side-channel-protected modular exponentiation are described. In embodiments, during a modular exponentiation calculation, Montgomery Multiplication (“MM”) results are produced. These MM results are scattered through a table for storage, such that storage of the values may not lead to discovery of a secret exponent value by a spy process through a side-channel attack. The scattering may be performed in order to reduce a number of per-result memory operations performed during each MM result storage or retrieval. In embodiments, a window size of 4 may be used in the modular exponentiation, along with partitioning of the MM result into 32-bit partition values which are scattered with offsets of 64-bytes. In embodiments, while use of a window size of 4 may result in additional MM calculations during modular exponentiation than other window sizes, the reduction in memory operations may provide a positive performance offset.

4. 发明公开

EP2455852A2 Verfahren zur Langzahldivision 有权
公开(公告)号：EP2455852A2
公开(公告)日：2012-05-23
申请号：EP11009104.8
申请日：2011-11-16
申请人： Giesecke&Devrient
发明人： Bockes, Markus, Dr. , Pulkus, Jürgen, Dr.
IPC分类号： G06F7/72
CPC分类号： G06F7/721 , G06F7/728
摘要： Ein Verfahren in einem portablen Datenträger (10) zum Ausführen einer kryptographischen Operation auf sicherheitsrelevanten Daten umfasst einen Schritt des Bestimmens eines Quotienten (q) eines Dividenden (a) durch einen Divisor (b). Dabei wird der Quotient (q) mittels einer Divisionseinrichtung (54) des Datenträgers (10) bestimmt. Der Quotient (q) wird dadurch bestimmt, dass zuerst der Dividend (a) um seinen Rest (r) modulo dem Divisor (b) vermindert wird. Dann wird eine Montgomery-Multiplikation bezüglich eines vorgegebenen Modulus (M) durchgeführt. Die Montgomery-Multiplikation wird dabei mittels einer Multiplikationseinrichtung (35) des Datenträgers (10), vorzugsweise mittels eines Koprozessors (35), durchgeführt und empfängt einen von dem verminderten Dividenden (a) abgeleiteten Wert (a; a 0 ; a 1 ) als einen Eingabewert.
摘要翻译：该方法涉及使用便携式数据载体（10）的分割装置（54）由除数确定股息除数的商。股息在剩余模数周围减少到除数。通过数据载体的协处理器（35）相对于预设模数执行蒙哥马利乘法。通过蒙哥马利乘法接收从减少的红利派生的值作为输入值。形成模数，使得从预设的两倍数量减去除数。对于包括处理器的便携式数据载体，还包括独立权利要求。

5. 发明公开

EP2385461A1 Method and apparatus for providing flexible bit-length moduli on a block Montgomery machine 审中-公开
标题翻译：对于一个块蒙哥马利机器上提供灵活bitlangen模量的方法和装置
公开(公告)号：EP2385461A1
公开(公告)日：2011-11-09
申请号：EP10161699.3
申请日：2010-04-30
申请人： Certicom Corp.
发明人： Lambert, Robert , Poeluev, Yuri
IPC分类号： G06F7/72
CPC分类号： G06F7/728
摘要： Techniques are disclosed for utilizing a block Montgomery machine designed only to operate at a fixed block length to perform operations using non-block length (flexible) moduli. In one embodiment, a new modulus n ' is obtained having a block length equal to the fixed block length of the Montgomery machine or a multiple thereof. At least one modular additive operation is performed with the new modulus n ', and at least one modular multiplicative operation is performed with the non-block length modulus n . In this way, the result of the at least one additive operation is sufficiently reduced when a carry stems from the additive operation.
摘要翻译：技术是游离缺失盘用于利用块蒙哥马利机仅设计以固定的块长度来操作，以执行使用非块长度（柔性）模量运算。在一个，一个新的模数n“获得具有块长度等于该蒙哥马利机器的固定块长度或其倍数实施例。至少一个模块化添加剂手术执行与新模数n”，以及至少一个模块化乘法手术执行与非块长度模数n。以这种方式，所述至少一种添加剂的结果是操作充分地减少当进位从添加剂操作茎。

6. 发明授权

EP1845442B1 Computation of a modular multiplication with an electronic circuit 有权转让
标题翻译：模乘运算用的电子电路
公开(公告)号：EP1845442B1
公开(公告)日：2011-11-09
申请号：EP06112507.6
申请日：2006-04-11
申请人： STMicroelectronics Srl , STMicroelectronics Limited
发明人： Bertoni, Guido Marco , Fragneto, Pasqualina , Marsh, Andrew , Pelosi, Gerardo , Ravasio, Moris
IPC分类号： G06F7/72
CPC分类号： G06F7/728 , G06F7/722

7. 发明授权

EP1536320B1 Montgomery-Multiplikation mit vergrösserter Operandenlänge 失效转让
标题翻译：蒙哥马利乘法与放大操作数长度
公开(公告)号：EP1536320B1
公开(公告)日：2010-09-01
申请号：EP04027833.5
申请日：2004-11-24
申请人： Giesecke & Devrient GmbH
发明人： Bockes, Markus Dr. , Seysen, Martin Dr.
IPC分类号： G06F7/72
CPC分类号： G06F7/728

8. 发明授权

EP1692800B1 ENHANCED NATURAL MONTGOMERY EXPONENT MASKING 有权
标题翻译：改进自然科学MONTGOMERY指数的MASK
公开(公告)号：EP1692800B1
公开(公告)日：2010-06-30
申请号：EP04806656.7
申请日：2004-11-16
申请人： SanDisk IL Ltd
发明人： GRESSEL, Carmi , DOLGUNOV, Boris , DEROUET, Odile
IPC分类号： G06F7/72 , H04K1/00 , H04L9/00
CPC分类号： G06F7/728 , G06F2207/7238 , H04L9/002 , H04L9/06 , H04L9/3013 , H04L9/302 , H04L2209/04

9. 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

10. 发明公开

EP2138990A1 BUILT-IN DEVICE WITH FAULT ATTACK COUNTERMEASURE FUNCTION 有权
标题翻译： EINGEBAUTE EINRICHTUNG MIT FEHLERATTACKEN-GEGENMASSNAHMEFUNKTION
公开(公告)号：EP2138990A1
公开(公告)日：2009-12-30
申请号：EP07736909.8
申请日：2007-03-19
申请人： Fujitsu Limited
发明人： FURUKAWA, Kazuyoshi , ITOH, Kouichi , TAKENAKA, Masahiko
IPC分类号： G09C1/00 , G06F7/72
CPC分类号： G06F7/723 , G06F7/728 , G06F2207/7271 , H04L9/004 , H04L9/302 , H04L9/3066
摘要： A cryptographic processing device, comprising: a storage unit; initial setting unit for setting a value to be stored in the storage unit; Montgomery modular multiplication operation unit for performing a Montgomery modular multiplication operation plural times for a value set by the initial setting unit; and fault attack detection unit for determining whether or not a fault attack occurred for each of at least some parts of the Montgomery modular multiplication operations performed plural times.
摘要翻译：一种加密处理装置，包括：存储单元; 初始设定单元，用于设定存储在存储单元中的值; 蒙哥马利乘法运算单元，用于对由初始设定单元设定的值进行多次蒙哥马利乘法运算; 以及故障攻击检测单元，用于确定多次执行的蒙哥马利乘法运算的至少一些部分中的每一个是否发生故障攻击。

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