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1. 发明授权

US08386765B2 Method for the encrypted transmission of synchronization messages 有权
标题翻译：用于加密传输同步消息的方法
公开(公告)号：US08386765B2
公开(公告)日：2013-02-26
申请号：US11921130
申请日：2006-03-24
申请人： Steffen Fries , Jean Georgiades , Stephan Schüler
发明人： Steffen Fries , Jean Georgiades , Stephan Schüler
IPC分类号： H04L29/06 , G06F1/12
CPC分类号： H04L63/123
摘要： There is described a method for transmitting synchronization messages, for example PTP messages of the IEEE 1588 standard, the PTP message being inserted into a data packet in line with the Internet Protocol, the data packet having an IP header, and the data packet having a UDP header. In this case, for the encrypted transmission on the PTP message, the data packet is addressed to a UDP port that is reserved for encrypted PTP messages, the data packet is provided with an additional S-PTP header that is provided for encryption, the PTP message is extended with a pseudo random number, and the PTP message is encrypted together with the pseudo random number.
摘要翻译：描述了用于发送同步消息的方法，例如IEEE 1588标准的PTP消息，PTP消息被插入到符合因特网协议的数据分组中，数据分组具有IP报头，并且数据分组具有 UDP头。在这种情况下，对于PTP消息上的加密传输，数据包被寻址到为加密的PTP消息保留的UDP端口，数据包被提供有提供加密的附加S-PTP头，PTP 消息以伪随机数进行扩展，PTP消息与伪随机数一起加密。

2. 发明申请

US20090204811A1 Method For The Encrypted Transmission Of Synchronization Messages 有权
标题翻译：加密传输同步消息的方法
公开(公告)号：US20090204811A1
公开(公告)日：2009-08-13
申请号：US11921130
申请日：2006-03-24
申请人： Steffen Fries , Jean Georgiades , Stephan Schüler
发明人： Steffen Fries , Jean Georgiades , Stephan Schüler
IPC分类号： H04L9/32 , H04J3/06
CPC分类号： H04L63/123
摘要： There is described a method for transmitting synchronization messages, for example PTP messages of the IEEE 1588 standard, the PTP message being inserted into a data packet in line with the Internet Protocol, the data packet having an IP header, and the data packet having a UDP header. In this case, for the encrypted transmission on the PTP message, the data packet is addressed to a UDP port that is reserved for encrypted PTP messages, the data packet is provided with an additional S-PTP header that is provided for encryption, the PTP message is extended with a pseudo random number, and the PTP message is encrypted together with the pseudo random number.
摘要翻译：描述了用于发送同步消息的方法，例如IEEE 1588标准的PTP消息，PTP消息被插入到符合因特网协议的数据分组中，数据分组具有IP报头，并且数据分组具有 UDP头。在这种情况下，对于PTP消息上的加密传输，数据包被寻址到为加密的PTP消息保留的UDP端口，数据包被提供有提供加密的附加S-PTP头，PTP 消息以伪随机数进行扩展，PTP消息与伪随机数一起加密。

3. 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。

4. 发明申请

US20090285388A1 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：US20090285388A1
公开(公告)日：2009-11-19
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： H04L9/30
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。

5. 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。

6. 发明授权

US08732227B2 Method and processor unit for implementing a characteristic-2-multiplication 有权
标题翻译：用于实现特征2乘法的方法和处理器单元
公开(公告)号：US08732227B2
公开(公告)日：2014-05-20
申请号：US13055218
申请日：2009-05-22
申请人： Jean Georgiades , Bernd Meyer
发明人： Jean Georgiades , Bernd Meyer
IPC分类号： G06F7/52
CPC分类号： G06F7/724 , G06F2207/3812
摘要： The method for implementing a characteristic-2-multiplication of at least two input bit strings each having a number N of bits by means of a processor unit suitable for carrying out an integer multiplication, having the following steps: a) generating at least one sequence of a number K of zero bits, using Kε{1, . . . , N}, by means of a first transformation of the respective input bit string to at least one predetermined position in the respective input bit string for generating at least one first intermediate bit string; b) linking the at least two first intermediate bit strings by means of the integer multiplication of the processor unit for generating at least one second intermediate bit string; and c) transforming the at least one second intermediate bit string by means of a second transformation for generating a result bit string.
摘要翻译：用于通过适于执行整数乘法的处理器单元来实现每个具有数目N个比特的至少两个输入比特串的特征2乘法的方法，具有以下步骤：a）产生至少一个序列的零位K，使用K＆egr; {1，。。。，N}，通过相应输入位串的第一变换到相应输入位串中的至少一个预定位置，用于产生至少一个第一中间位串; b）借助于处理器单元的整数乘法来链接至少两个第一中间位串，用于产生至少一个第二中间位串; 以及c）通过用于生成结果位串的第二变换来变换所述至少一个第二中间位串。

7. 发明申请

US20110131395A1 METHOD AND PROCESSOR UNIT FOR IMPLEMENTING A CHARACTERISTIC-2-MULTIPLICATION 有权
标题翻译：用于实现特征二乘法的方法和处理器单元
公开(公告)号：US20110131395A1
公开(公告)日：2011-06-02
申请号：US13055218
申请日：2009-05-22
申请人： Jean Georgiades , Bernd Meyer
发明人： Jean Georgiades , Bernd Meyer
IPC分类号： G06F9/302
CPC分类号： G06F7/724 , G06F2207/3812
摘要： The method for implementing a characteristic-2-multiplication of at least two input bit strings each having a number N of bits by means of a processor unit suitable for carrying out an integer multiplication, having the following steps: a) generating at least one sequence of a number K of zero bits, using Kε{l, . . . , N}, by means of a first transformation of the respective input bit string to at least one predetermined position in the respective input bit string for generating at least one first intermediate bit string; b) linking the at least two first intermediate bit strings by means of the integer multiplication of the processor unit for generating at least one second intermediate bit string; and c) transforming the at least one second intermediate bit string by means of a second transformation for generating a result bit string.
摘要翻译：用于通过适于执行整数乘法的处理器单元来实现每个具有数目N个比特的至少两个输入比特串的特征2乘法的方法，具有以下步骤：a）产生至少一个序列数字K的零位，使用K＆egr; {l，。。。，N}，通过相应输入位串的第一变换到相应输入位串中的至少一个预定位置，用于产生至少一个第一中间位串; b）借助于处理器单元的整数乘法来链接至少两个第一中间位串，用于产生至少一个第二中间位串; 以及c）通过用于生成结果位串的第二变换来变换所述至少一个第二中间位串。

8. 发明授权

US06956946B1 Method and device for cryptographic processing with the aid of an elliptic curve on a computer 有权
标题翻译：借助于计算机上的椭圆曲线进行加密处理的方法和装置
公开(公告)号：US06956946B1
公开(公告)日：2005-10-18
申请号：US09641868
申请日：2000-08-18
申请人： Erwin Hess , Jean Georgiades
发明人： Erwin Hess , Jean Georgiades
IPC分类号： G09C1/00 , G06F7/72 , H04L9/30
CPC分类号： G06F7/725 , H04L9/3066
摘要： In the case of cryptographic processing with the aid of an elliptic curve, parameters of the elliptic curve are stored in a memory of a computer. These parameters are each of substantial length. The elliptic curve is transformed in order to shorten at least one parameter significantly in length and to ensure that the high security level is unchanged in the process. One parameter is preferably shortened to 1, −1, 2 or −2 with the aid of an algorithm, whereas the other parameters have a length of several 100 bits. The shortening of even one parameter is clearly reflected in the case of devices which have little memory space.
摘要翻译：在借助于椭圆曲线的密码处理的情况下，将椭圆曲线的参数存储在计算机的存储器中。这些参数都是相当长的。转换椭圆曲线以便在长度上缩短至少一个参数，并确保该过程中高安全级别不变。借助于算法，优选地将一个参数缩短为1，-1，2或-2，而其他参数具有几百位的长度。即使一个参数的缩短，在存储空间很小的设备的情况下也能清楚地反映出来。

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