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1. 发明授权

US08582761B2 Cryptographic method with elliptical curves 有权
标题翻译：椭圆曲线的加密方法
公开(公告)号：US08582761B2
公开(公告)日：2013-11-12
申请号：US12225480
申请日：2007-03-06
申请人： Jean Georgiades , Anton Kargl , Bernd Meyer
发明人： Jean Georgiades , Anton Kargl , Bernd Meyer
IPC分类号： G06F7/04 , H04K1/00 , H04L9/32
CPC分类号： G06F7/725 , G06F2207/7219
摘要： A method determines an elliptical curve, suitable for a cryptographic method. An elliptical curve to be tested is prepared. The order of a twisted elliptical curve associated with the elliptical curve to be tested is determined. It is automatically checked whether the order of the twisted elliptical curve is a strong prime number. If the order of the twisted elliptical curve is a strong prime number, the elliptical curve to be tested is selected as an elliptical curve suitable for cryptographical methods.
摘要翻译：一种方法确定适用于密码方法的椭圆曲线。准备待测试的椭圆曲线。确定与待测试的椭圆曲线相关联的扭曲椭圆曲线的阶数。自动检查扭曲椭圆曲线的顺序是否为强素数。如果扭曲的椭圆曲线的顺序是强素数，则要测试的椭圆曲线被选择为适用于密码方法的椭圆曲线。

2. 发明申请

US20090292921A1 METHOD FOR THE ENCRYPTED DATA EXCHANGE AND COMMUNICATION SYSTEM 有权
标题翻译：加密数据交换和通信系统的方法
公开(公告)号：US20090292921A1
公开(公告)日：2009-11-26
申请号：US12443311
申请日：2007-09-24
申请人： Michael Braun , Anton Kargl , Bernd Meyer
发明人： Michael Braun , Anton Kargl , Bernd Meyer
IPC分类号： H04L9/32
CPC分类号： G06F7/725 , H04L9/3263 , H04L9/3271 , H04L2209/805
摘要： The embodiments relate to a method for the encrypted data exchange between subscribers of a communication system using cryptography based on elliptical curves, wherein upon a query by a first subscriber a scalar multiplication is calculated by the second subscriber, wherein merely part of the result of the scalar multiplication is returned to the first subscriber as a response. The invention relates to a communication system.
摘要翻译：这些实施例涉及一种使用基于椭圆曲线的密码学的通信系统的用户之间的加密数据交换方法，其中在第一用户查询时，第二用户计算标量乘法，其中仅仅是部分结果的一部分标量乘法作为响应返回给第一用户。本发明涉及通信系统。

3. 发明授权

US08369514B2 Method for the secure determination of data 失效
标题翻译：数据安全确定方法
公开(公告)号：US08369514B2
公开(公告)日：2013-02-05
申请号：US12294806
申请日：2006-12-19
申请人： Michael Braun , Anton Kargl , Bernd Meyer , Stefan Pyka
发明人： Michael Braun , Anton Kargl , Bernd Meyer , Stefan Pyka
IPC分类号： H04L9/00
CPC分类号： H04L9/003 , G06F7/725 , G06F2207/7266 , H04L9/3066 , H04L2209/12
摘要： The aim of the embodiments is to provide a method for the secure processing of data, in which security is increased in relation to side channel attacks. To achieve this, operation codes for commanding co-processors are determined, for example for the bit-dependent transposition of register contents. The solution exploits the fact that as a result of the technical configuration for the co-processor, a shift of register contents, for example from register A to register B cannot be differentiated from the exterior from a shift from register A to register C.
摘要翻译：实施例的目的是提供一种用于数据安全处理的方法，其中相对于侧向信道攻击增加了安全性。为了实现这一点，例如用于命令协处理器的操作代码被确定为寄存器内容的位相关转置。该解决方案利用了由于协处理器的技术配置的结果，寄存器内容（例如从寄存器A到寄存器B）的移位不能从外部从寄存器A到寄存器C的移位区分开。

4. 发明申请

US20100172490A1 METHOD FOR THE SECURE DETERMINATION OF DATA 失效
标题翻译：数据的安全确定方法
公开(公告)号：US20100172490A1
公开(公告)日：2010-07-08
申请号：US12294806
申请日：2006-12-19
申请人： Michael Braun , Anton Kargl , Bernd Meyer , Stefan Pyka
发明人： Michael Braun , Anton Kargl , Bernd Meyer , Stefan Pyka
IPC分类号： H04L9/28
CPC分类号： H04L9/003 , G06F7/725 , G06F2207/7266 , H04L9/3066 , H04L2209/12
摘要： The aim of the embodiments is to provide a method for the secure processing of data, in which security is increased in relation to side channel attacks. To achieve this, operation codes for commanding co-processors are determined, for example for the bit-dependent transposition of register contents. The solution exploits the fact that as a result of the technical configuration for the co-processor, a shift of register contents, for example from register A to register B cannot be differentiated from the exterior from a shift from register A to register C.
摘要翻译：实施例的目的是提供一种用于数据安全处理的方法，其中相对于侧向信道攻击增加了安全性。为了实现这一点，例如用于命令协处理器的操作代码被确定为寄存器内容的位相关转置。该解决方案利用了由于协处理器的技术配置的结果，寄存器内容（例如从寄存器A到寄存器B）的移位不能从外部从寄存器A到寄存器C的移位区分开。

5. 发明申请

US20090024352A1 Method, Device and System For Verifying Points Determined on an Elliptic Curve 有权
标题翻译：用于在椭圆曲线上确定点的方法，装置和系统
公开(公告)号：US20090024352A1
公开(公告)日：2009-01-22
申请号：US12223031
申请日：2006-11-27
申请人： Michael Braun , Anton Kargl , Bernd Meyer
发明人： Michael Braun , Anton Kargl , Bernd Meyer
IPC分类号： G01B21/04
CPC分类号： G06F7/725 , G06F2207/7261
摘要： Conventional cryptographic methods that are based on elliptic curves are prone to side-channel attacks. Previously known methods for preventing side-channel attacks have the disadvantage of requiring high arithmetic capacity and a large amount of available memory space. The proposed method overcomes said disadvantage by using a process for verifying points on elliptic curves which saves arithmetic capacity and memory space.
摘要翻译：基于椭圆曲线的常规加密方法容易发生侧信道攻击。以前已知的用于防止侧向信道攻击的方法具有需要高算术能力和大量可用存储空间的缺点。所提出的方法通过使用用于验证椭圆曲线上的点的过程来克服所述缺点，其节省了算术能力和存储空间。

6. 发明授权

US08707038B2 Method for the encrypted data exchange and communication system 有权
标题翻译：加密数据交换和通信系统的方法
公开(公告)号：US08707038B2
公开(公告)日：2014-04-22
申请号：US12443311
申请日：2007-09-24
申请人： Michael Braun , Anton Kargl , Bernd Meyer
发明人： Michael Braun , Anton Kargl , Bernd Meyer
IPC分类号： H04L9/32
CPC分类号： G06F7/725 , H04L9/3263 , H04L9/3271 , H04L2209/805
摘要： The embodiments relate to a method for the encrypted data exchange between subscribers of a communication system using cryptography based on elliptical curves, wherein upon a query by a first subscriber a scalar multiplication is calculated by the second subscriber, wherein merely part of the result of the scalar multiplication is returned to the first subscriber as a response. The invention relates to a communication system.
摘要翻译：这些实施例涉及一种使用基于椭圆曲线的密码学的通信系统的用户之间的加密数据交换方法，其中在第一用户查询时，第二用户计算标量乘法，其中仅仅是部分结果的一部分标量乘法作为响应返回给第一用户。本发明涉及通信系统。

7. 发明授权

US07774160B2 Method, device, and system for verifying points determined on an elliptic curve 有权
标题翻译：用于验证椭圆曲线上确定点的方法，装置和系统
公开(公告)号：US07774160B2
公开(公告)日：2010-08-10
申请号：US12223031
申请日：2006-11-27
申请人： Michael Braun , Anton Kargl , Bernd Meyer
发明人： Michael Braun , Anton Kargl , Bernd Meyer
IPC分类号： G01B21/04
CPC分类号： G06F7/725 , G06F2207/7261
摘要： Conventional cryptographic methods that are based on elliptic curves are prone to side-channel attacks. Previously known methods for preventing side-channel attacks have the disadvantage of requiring high arithmetic capacity and a large amount of available memory space. The proposed method overcomes said disadvantage by using a process for verifying points on elliptic curves which saves arithmetic capacity and memory space.
摘要翻译：基于椭圆曲线的常规加密方法容易发生侧信道攻击。以前已知的用于防止侧向信道攻击的方法具有需要高算术能力和大量可用存储空间的缺点。所提出的方法通过使用用于验证椭圆曲线上的点的过程来克服所述缺点，其节省了算术能力和存储空间。

8. 发明申请

US20080205639A1 Method for securely encrypting or decrypting a message 有权
标题翻译：安全加密或解密消息的方法
公开(公告)号：US20080205639A1
公开(公告)日：2008-08-28
申请号：US12073556
申请日：2008-03-06
申请人： Michael Braun , Anton Kargl , Bernd Meyer
发明人： Michael Braun , Anton Kargl , Bernd Meyer
IPC分类号： H04L9/30 , H04L9/32 , G06F7/72
CPC分类号： G06F7/723 , G06F7/725 , G06F2207/7261 , H04L9/003 , H04L9/302 , H04L9/3066 , H04L9/3247 , H04L2209/08
摘要： A method for securely encrypting or decrypting a message or for generating or verifying a digital signature in a message, in which the message is subjected, with the aid of a processor, to a mathematical operation using a key (k) which can be represented in the form of a binary number with a sequence of bits, and computational operations are sequentially carried out on auxiliary variables for each bit. The dependence of the computational result on the values of individual bits is taken into account by reading the memory addresses from the auxiliary variables and assigning them to address variables. The difference between the addresses is calculated and, depending on the respective current bit, is added to, or subtracted from, the computer addresses. The assignment of the auxiliary variables to the address variables can thus be interchanged. As a result, the order and selection of the computational operations is controlled on the basis of bits without the program sequence having to contain jump instructions.
摘要翻译：一种用于在消息中安全加密或解密消息或者利用处理器来生成或验证消息中的数字签名的方法，该方法使用可以在对于每个位，辅助变量依次执行具有位序列的二进制数的形式和计算操作。通过从辅助变量读取存储器地址并将其分配给地址变量，计算结果对各个位的值的依赖性被考虑在内。计算地址之间的差异，并且根据相应的当前位被添加到计算机地址或从计算机地址中减去。因此可以将辅助变量分配给地址变量。结果，计算操作的顺序和选择是基于比特来控制的，而没有编程序列必须包含跳转指令。

9. 发明授权

US08300811B2 Method and device for processing data 有权
标题翻译：处理数据的方法和设备
公开(公告)号：US08300811B2
公开(公告)日：2012-10-30
申请号：US12634195
申请日：2009-12-09
申请人： Jean Georgiades , Anton Kargl , Bernd Meyer
发明人： Jean Georgiades , Anton Kargl , Bernd Meyer
IPC分类号： H04K1/00
CPC分类号： H04L9/002 , H04L9/3066
摘要： The embodiments provides a method for processing data. According to the invention, an elliptic curve with an order m which corresponds to a product of a first cofactor c and a prime number q is provided, wherein the order (q−1) of the multiplicative group of the prime number q corresponds to a product of a second cofactor I and at least two prime divisors s1, . . . , sk, wherein the at least two prime divisors s1, . . . , sk are each greater than a predetermined bound of 2n; and a chosen method is applied to provided data using the provided elliptic curve for providing cryptographically transformed data. The invention enables cryptographically transformed data to be provided while simultaneously minimizing the probability of a successful attack.
摘要翻译：实施例提供了一种处理数据的方法。根据本发明，提供了具有对应于第一辅因子c和素数q的乘积的阶数m的椭圆曲线，其中素数q的乘法群的阶数（q-1）对应于第二辅因子I和至少两个主要除数s1的乘积。。。，其中，所述至少两个素数s 1，。。，sk各自大于2n的预定界限; 并且使用所提供的椭圆曲线将所选择的方法应用于提供数据，以提供加密变换的数据。本发明允许提供加密变换的数据，同时最小化成功攻击的概率。

10. 发明申请

US20110173456A1 EFFICIENT STORAGE OF CRYPTOGRAPHIC PARAMETERS 有权
标题翻译：高分辨率参数的有效存储
公开(公告)号：US20110173456A1
公开(公告)日：2011-07-14
申请号：US13058293
申请日：2009-07-21
申请人： Anton Kargl , Bernd Meyer , Achim Schmidt , Hermann Seuschek
发明人： Anton Kargl , Bernd Meyer , Achim Schmidt , Hermann Seuschek
IPC分类号： G06F21/24
CPC分类号： G06F7/725 , H04L9/3066
摘要： Cryptographic products for mass applications, such as RFIDs or special ICs for the protection from plagiarism, always require that the price per unit costs are reduced as low as possible. This is achieved, for example, in that in such methods the required storage space is further reduced for system parameters to be permanently stored. Accordingly, in a method for coding and decoding the cryptographic system parameters of an elliptical curve, when storing the system parameters, storage cells are each completely occupied, and therefore no storage space is wasted.
摘要翻译：用于大规模应用的密码产品，如RFID或特殊IC，以防止剽窃，总是要求每单位成本的价格尽可能低。这是通过例如在这样的方法中实现的，所需的存储空间被进一步减少以便系统参数被永久存储。因此，在对椭圆曲线的密码系统参数进行编码和解码的方法中，当存储系统参数时，存储单元被完全占用，因此不会浪费存储空间。

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