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Cryptographic system incorporating a digitally generated chaotic numerical sequence

  • US 8,180,055 B2
  • Filed: 02/05/2008
  • Issued: 05/15/2012
  • Est. Priority Date: 02/05/2008
  • Status: Active Grant
First Claim
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1. A cryptographic system, comprising:

  • a data stream receiving device configured for receiving an input data stream;

    a first chaotic sequence generator including;

    (a) a computing device configured for using residue arithmetic operations to respectively determine a plurality of solutions for a plurality of modular polynomial equations of a third order or higher, where a modulus and a constant zero-power coefficient of each modular polynomial equation are selected such that an irreducible form of a respective modular polynomial equation is generated, said plurality of solutions iteratively computed and expressed as residue values; and

    (b) a mapping device configured for determining a series of digits in a weighted number system based on said plurality of residue values; and

    an encryptor coupled to said data stream receiving device and said first chaotic sequence generator, said encryptor configured for generating a modified data stream by combining said series of digits with said input data stream.

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