公开(公告)号：EP1467514A1

公开(公告)日：2004-10-13

申请号：EP04101145.3

申请日：2004-03-19

Applicant: STMicroelectronics S.r.l.

Inventor： Kocarev, Ljupco ,  Amato, Paolo ,  Rizzotto, Gianguido

IPC: H04L9/00

CPC classification number: H04L9/001 ,  H04L9/3013 ,  H04L9/302 ,  H04L9/3093

Abstract: An encryption process comprises the following steps:

preliminarily choosing at least a secret key and a set of permutable functions defined on a certain phase space for encrypting/decrypting messages,
choosing a code for encoding messages to be sent in the form of a number belonging to the phase space,
and wherein the set of permutable functions is composed of modified chaotic maps generated by a composite function, the image of which is calculated modulo a certain pre-established integer number, obtained composing a first function, a second function and the inverse of said first function,

the secret key is defined by using the second function.

This process uses a particular type of chaotic maps, the "modified chaotic maps", that work only on integer numbers. Given that operations on integers are faster than operations in floating-point arithmetic, this encryption process is faster than other processes that use chaotic maps.

Abstract translation: 一种加密过程包括以下步骤：初步选择在某个相位空间定义的至少一个秘密密钥和一组可置换的功能，用于加密/解密消息，选择一个代码，以编码属于 所述相位空间，并且其中所述可置换函数集合由由复合函数生成的修改的混沌映射组成，所述复合函数的图像被模拟为特定的预先建立的整数，由组成第一函数获得，第二函数和反相 所述第一功能的秘密密钥由第二功能定义。 这个过程使用一种特殊类型的混沌映射，即仅修改整数的“修改混沌映射”。 假定整数的操作比浮点算术中的操作更快，则该加密过程比使用混沌映射的其他进程更快。

公开(公告)号：EP1467512B1

公开(公告)日：2008-07-23

申请号：EP03425219.7

申请日：2003-04-07

Applicant: STMicroelectronics S.r.l.

Inventor： Kocarev, Ljupco ,  Tasev, Zarko ,  Amato, Paolo ,  Rizzotto, Gianguido

IPC: H04L9/00

CPC classification number: H04L9/001 ,  H04L9/3013 ,  H04L9/302 ,  H04L9/3093

公开(公告)号：EP1467514B1

公开(公告)日：2006-06-14

申请号：EP04101145.3

申请日：2004-03-19

Applicant: STMicroelectronics S.r.l.

Inventor： Kocarev, Ljupco ,  Amato, Paolo ,  Rizzotto, Gianguido

IPC: H04L9/00

CPC classification number: H04L9/001 ,  H04L9/3013 ,  H04L9/302 ,  H04L9/3093

公开(公告)号：EP1467512A1

公开(公告)日：2004-10-13

申请号：EP03425219.7

申请日：2003-04-07

Applicant: STMicroelectronics S.r.l.

Inventor： Kocarev, Ljupco ,  Tasev, Zarko ,  Amato, Paolo ,  Rizzotto, Gianguido

IPC: H04L9/00

CPC classification number: H04L9/001 ,  H04L9/3013 ,  H04L9/302 ,  H04L9/3093

Abstract: An encryption process which is both secure and practical, does not require modular arithmetic, and therefore is very fast, and may be used for realizing a digital signature process, comprises the following steps:

choosing preliminarily at least a private key and a set of permutable functions defined on a certain phase space for encrypting/decrypting messages,
choosing a code for encoding messages to be sent in the form of a number belonging to the phase space, and wherein
the set of permutable functions is composed of chaotic maps generated by a composite function of a first function, a second function and the inverse of the first function,
the private key is defined by using the second function.

It is possible to implement public-key encryption processes and related digital signature processes using chaotic maps by a computer program.

Abstract translation: 安全实用的加密过程不需要模块运算，因此非常快，可以用于实现数字签名过程，包括以下步骤：至少选择一个私钥和一组可置换的密钥 在某个相位空间上定义的用于加密/解密消息的功能，选择用于编码以属于相位空间的数字形式发送的消息的代码，并且其中所述可置换函数集合由复合产生的混沌映射 第一功能的功能，第二功能和第一功能的倒数，私钥通过使用第二功能来定义。 可以通过计算机程序使用混沌映射来实现公钥加密过程和相关的数字签名过程。

公开(公告)号：EP1420542A1

公开(公告)日：2004-05-19

申请号：EP02425689.3

申请日：2002-11-12

Applicant: STMicroelectronics S.r.l.

Inventor： Kocarev, Ljupco ,  Amato, Paolo ,  Rizzotto, Gianguido

IPC: H04L9/00 ,  H04L9/18

CPC classification number: H04L9/001 ,  G06F7/582 ,  H04L9/0662 ,  H04L2209/20

Abstract: A method of generating cryptographically secure (or unpredictable) pseudo-random numbers uses simple functions whose inverse is not a well-defined function and has a large number of branches, although the inverse could be easily computed on each particular branch. In this way the sequence of numbers is practically unpredictable and at the same time may be generated using very simple functions.
A hardware generator of chaos-based pseudo random bit sequences implementing an embodiment of the method comprises:

― circuit means for storing bit strings representing integer numbers of the pseudo-random sequence;
― a shift register coupled to the circuit means;
― a command circuit generating shift commands for the shift register;
― second circuit means for storing the bits output by the shift register;
― an adder modulo 2 summing the bits stored in the second circuit means, generating a bit of the chaos-based pseudo-random bit sequence;
― a second adder summing up the bit strings currently stored in the shift register and in the first circuit means, generating a bit string representing a successive number of the pseudo-random sequence.

Abstract translation: 生成加密安全（或不可预测）伪随机数的方法使用简单函数，其逆不是定义明确的函数并且具有大量分支，尽管可以在每个特定分支上容易地计算逆。 以这种方式，数字序列实际上是不可预测的，并且同时可以使用非常简单的功能来产生。 实现方法实施例的基于混沌的伪随机比特序列的硬件生成器包括：用于存储表示整数的伪随机序列的比特串的电路装置; 耦合到电路装置的移位寄存器; 产生移位寄存器的移位指令的指令电路; 第二电路装置，用于存储由移位寄存器输出的位; 加法器2对存储在第二电路装置中的位进行求和，产生基于混沌的伪随机比特序列的比特; 第二加法器，对当前存储在移位寄存器和第一电路装置中的位串相加，生成表示连续数量的伪随机序列的比特串。

公开(公告)号：EP1326363A1

公开(公告)日：2003-07-09

申请号：EP01130846.7

申请日：2001-12-27

Applicant: STMicroelectronics S.r.l.

Inventor： Kocarev, Ljupco ,  Jakimoski, Goce ,  Rizzotto, Gianguido ,  Amato, Paolo

IPC: H04L9/00 ,  H04L9/06

CPC classification number: H04L9/001 ,  H04L9/002 ,  H04L9/0618 ,  H04L2209/24

Abstract: In an encryption/decryption system for converting data signals between an unencrypted plaintext format and an encrypted ciphertext format plurality of round modules are provided (10) permitting a respective set of input data signals (TEXT IN) to generate a respective set of output data signals (TEXT OUT) by means of transformation controlled by a round key (SUBKEY). The transformation is identified by at least one map function derived from a chaotic map (14).

Abstract translation: 在用于在未加密明文格式和加密密文格式之间转换数据信号的加密/解密系统中，提供多个圆形模块（10），允许各组输入数据信号（TEXT IN）产生相应的一组输出数据信号 （TEXT OUT）通过由循环密钥（SUBKEY）控制的变换。 通过从混沌映射导出的至少一个地图函数来识别转换（14）。

公开(公告)号：EP1320026A1

公开(公告)日：2003-06-18

申请号：EP01830764.5

申请日：2001-12-13

Applicant: STMicroelectronics S.r.l.

Inventor： Kocarev, Ljupco ,  Stojanovski, Toni ,  Rizzotto, Gianguido ,  Italia, Francesco ,  Porto, Domenico

IPC: G06F7/58

CPC classification number: H04L9/0861 ,  G06F7/588

Abstract: A method for generating a random number sequence whose randomness properties are determined a priori , comprises the steps of defining a parametric map; calculating, in function of parameters of the map, the entropy and the Lyapunov exponent of random number sequences obtainable using the parametric map; identifying at least a set of values of parameters for which the entropy and the Lyapunov exponent are positive numbers the map has no attracting point; assigning a pre-established value as a first feedback value and carrying out cyclically the following steps for generating a random number sequence:

(i) determining said parameters inside the set as the numerical values of respective physical quantities;
(ii) outputting a random number, according to said map with the parameters and the assigned feedback value;
(iii) assigning as new feedback value said output random number.

A circuit, preferably realized using a switched current technique, implements the method of the invention for generating a random bit sequence.

Abstract translation: 一种用于生成随机数序列的随机性谁的性质是确定开采先验方法包括定义一个参数图的步骤; 计算，在地图的参数的功能，熵和随机数的Lyapunov指数序列可获得的使用参数图; 确定至少一组为其熵和Lyapunov指数为正数的映射没有吸引点的参数值; 分配预先建立的值作为第一反馈值并进行循环，用于产生一个随机数序列以下步骤：（i）确定的采矿所述设定为物理量respectivement的数值内部参数; （二）输出廷一个随机数，gemäß到所述地图的参数和所分配的反馈值; （三）分配作为新的反馈值，所述输出随机数。 使用开关电流技术的电路，优选地实现，实现本发明的用于产生随机位序列的方法。