公开(公告)号：WO2010078136A1

公开(公告)日：2010-07-08

申请号：PCT/US2009/069118

申请日：2009-12-22

Applicant: HARRIS CORPORATION

Inventor： MICHAELS, Alan J. ,  CHESTER, David B.

IPC: H04J13/00 ,  H04B1/707 ,  H04L9/00 ,  G06F7/58

CPC classification number: H04J13/12 ,  G09C1/00 ,  H04B1/707 ,  H04J13/0018 ,  H04K1/025 ,  H04K1/10 ,  H04L9/001 ,  H04L2209/12 ,  H04L2209/80

Abstract: Methods for code-division multiplex communications. The methods involve generating orthogonal or statistically orthogonal chaotic spreading codes (CSC 1 ,..., CSC K ) having different static offsets using a set of polynomial equations (fo(x(nT)),..., f N-ι (x(nT)) and/or fo[x((n+v)T+t)],..., f N-1 [x((n+v)T+t)]). The methods also involve forming spread spectrum communications signals respectively using the orthogonal or statistically orthogonal chaotic spreading codes. The methods further involve concurrently transmitting the spread spectrum communications signals over a common RF frequency band. The spreading codes are generated using different initial values for a variable "x" of a polynomial equation f(x(nT)) and/or different acc-dec values for a variable "v" of a polynomial equation fix((n+v)T+t)]. The static offsets are defined by the different initial values for a variable "x" and/or different acc-dec values for a variable "v".

Abstract translation: 码分复用通信方法。 该方法涉及使用一组多项式方程（fo（x（nT）），...，fN-α（x（nT））生成具有不同静态偏移的正交或统计正交混沌扩展码（CSC1，...，CSCK） ））和/或fo [x（（n + v）T + t）]，...，fN-1 [x（（n + v）T + t）]）。 这些方法还涉及分别使用正交或统计正交混沌扩展码形成扩频通信信号。 所述方法还涉及通过公共RF频带同时发射扩频通信信号。 使用多项式方程f（x（nT））的变量“x”的不同初始值和/或多项式方程式的变量“v”的不同递减值（（n + v ）T + T）]。 静态偏移由变量“x”的不同初始值和/或变量“v”的不同依赖值定义。

公开(公告)号：WO2010078137A1

公开(公告)日：2010-07-08

申请号：PCT/US2009/069121

申请日：2009-12-22

Applicant: HARRIS CORPORATION

Inventor： MICHAELS, Alan J. ,  CHESTER, David B.

IPC: H04J13/00 ,  H04B1/707 ,  G06F7/58 ,  H04L9/00

CPC classification number: H04J13/0018 ,  H04B1/707 ,  H04J13/12 ,  H04L9/001 ,  H04L2209/12 ,  H04L2209/80

Abstract: Methods for code-division multiplex communications. The methods involve generating orthogonal or statistically orthogonal chaotic spreading codes (CSC 1 ,..., CSC K ) using different sets of polynomial equations (f o (x(nT)),..., f N-1 ,(x(nT))), different constant values (Co, Ci,..., C N-1 for the polynomial equations, or different sets of relatively prime numbers (ρ o , p i ,..., p N-1 ) as modulus (m 0 , m 1 ,..., m N-ι ) in solving the polynomial equations. The methods also involve forming spread spectrum communications signals using the orthogonal or statistically orthogonal chaotic spreading codes, respectively. The methods further involve concurrently transmitting the spread spectrum communications signals over a common RF frequency band.

Abstract translation: 码分复用通信方法。 该方法包括使用不同的多项式方程组（fo（x（nT）），...，fN-1，（x（nT）））生成正交或统计正交混沌扩展码（CSC1，...，CSCK） ，多项式方程式的不同常数值（Co，Ci，...，CN-1，或相对素数的不同集合（？o，pi，...，pN-1）作为模数（m0，m1，...） 方法还涉及使用正交或统计正交混沌扩展码形成扩频通信信号，该方法还涉及通过公共RF频率同时发射扩频通信信号 带。

公开(公告)号：WO2010068309A3

公开(公告)日：2010-06-17

申请号：PCT/US2009/042706

申请日：2009-05-04

Applicant: HARRIS CORPORATION

Inventor： MICHAELS, Alan J. ,  CHESTER, David B.

IPC: H04L9/26 ,  H04L9/30

Abstract: A cryptographic system (CS) comprised of generators (502), (504), (510), an encryption device (ED), and a decryption device (DD). The generator (502) generates a data sequence (DS) including payload data. The generator (504) generates an encryption sequence (ES) including random numbers. The ED (506) is configured to perform a CGFC arithmetic process. As such, the ED is comprised of a mapping device (MD) and an encryptor. The MD is configured to map the DS and ES from Galois field GF[p k ] to Galois extension field GF[p k+1 ]. The encryptor is configured to generate an encrypted data sequence (EDS) by combining the DS and ES utilizing a Galois field multiplication operation in Galois extension field GF[p k+1 ]. The generator (510) is configured to generate a decryption sequence (DS). The DD (508) is configured to generate a decrypted data sequence by performing an inverse of the CGFC arithmetic process utilizing the EDS and DS.

公开(公告)号：WO2009100299A1

公开(公告)日：2009-08-13

申请号：PCT/US2009/033343

申请日：2009-02-06

Applicant: HARRIS CORPORATION

Inventor： MICHAELS, Alan J. ,  CHESTER, David B.

IPC: G06F7/58 ,  H04L9/22 ,  G06F7/72

CPC classification number: G06F7/584 ,  G06F7/724

Abstract: A cryptographic system (CS) is provided. The CS (800) comprises a data stream receiving means (DSRM), a generator (702), a mixed radix converter (MRC) and an encryptor (908). The DSRM (902) is configured to receive a data stream (DS). The generator is configured to selectively generate a random number sequence (RNS) utilizing a punctured ring structure. The MRC (704) is coupled to the generator and configured to perform a mixed radix conversion to convert the RNS from a first number base to a second number base. The encryptor is coupled to the DSRM and MRC. The encryptor is configured to generate an altered data stream by combining the RNS in the second number base with the DS. The punctured ring structure and the MRC are configured in combination to produce an RNS in the second number base which contains a priori defined statistical artifacts after the mixed radix conversion.

Abstract translation: 提供了一种加密系统（CS）。 CS（800）包括数据流接收装置（DSRM），发生器（702），混合转换器（MRC）和加密器（908）。 DSRM（902）被配置为接收数据流（DS）。 发生器被配置为利用穿孔环结构选择性地生成随机数序列（RNS）。 MRC（704）耦合到发生器并且被配置为执行混合基数转换以将RNS从第一数字基底转换为第二数字基。 加密器耦合到DSRM和MRC。 加密器被配置为通过将第二数量库中的RNS与DS组合来生成改变的数据流。 打孔环结构和MRC被组合以在第二数字基中产生包含混合基数转换之后的先验定义的统计伪像的RNS。

公开(公告)号：WO2008130973A1

公开(公告)日：2008-10-30

申请号：PCT/US2008/060431

申请日：2008-04-16

Applicant: HARRIS CORPORATION

Inventor： CHESTER, David B. ,  MICHAELS, Alan J.

IPC: G06F7/58 ,  G06F7/72

CPC classification number: G06F7/584 ,  G06F7/72

Abstract: A method is provided for generating a chaotic sequence. The method includes selecting a plurality of polynomial equations. The method also includes using residue number system (RNS) arithmetic operations to respectively determine solutions for the polynomial equations. The solutions are iteratively computed and expressed as RNS residue values. The method further includes determining a series of digits in a weighted number system (e.g., a binary number system) based on the RNS residue values. According to an aspect of the invention, the method includes using a Chinese Remainder Theorem process to determine a series of digits in the weighted number system based on the RNS residue values. According to another aspect of the invention, the determining step comprises identifying a number in the weighted number system that is defined by the RNS residue values.

Abstract translation: 提供了一种产生混沌序列的方法。 该方法包括选择多个多项式方程。 该方法还包括使用残差数系统（RNS）算术运算来分别确定多项式方程的解。 迭代计算溶液并表示为RNS残留值。 该方法还包括基于RNS残差值来确定加权数字系统（例如，二进制数字系统）中的一系列数字。 根据本发明的一个方面，该方法包括使用中国剩余定理过程，以基于RNS残差值来确定加权数系统中的一系列数字。 根据本发明的另一方面，确定步骤包括识别由RNS残差值定义的加权数字系统中的数字。