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CLOSED GALOIS FIELD CRYPTOGRAPHIC SYSTEM

  • US 20090279688A1
  • Filed: 05/06/2008
  • Published: 11/12/2009
  • Est. Priority Date: 05/06/2008
  • Status: Active Grant
First Claim
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1. A method for encrypting a data sequence, comprising the steps of:

  • generating a data sequence comprising payload data;

    generating an encryption sequence comprising random numbers;

    mapping said data sequence and said encryption sequence from a Galois field GF[pk] to a Galois extension field GF[pk+1]; and

    generating an encrypted data sequence by performing a CGFC arithmetic process, said CGFC arithmetic process including combining said data sequence with said encryption sequence utilizing a Galois field multiplication operation in said Galois extension field GF[pk+1];

    wherein p is a prime number, k is an integer value, and pk+1 defines a finite field size of said Galois extension field GF[pk+1].

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