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A Rao-Nam like Cryptosystem with Product Codes

In: Finite Fields with Applications to Coding Theory, Cryptography and Related Areas

Author

Listed:
  • Ángela I. Barbero

    (Universidad de Valladolid, Dept. Matemática Aplicada a la Ingeniería (E.T.S. de Ingenieros Industriales))

  • Juan G. Tena

    (Universidad de Valladolid, Dept. Álgebra, Geometría y Topología (Fac. de Ciencias))

Abstract

The purpose of this paper is to design a private key cryptosystem that uses error correcting codes in an efficient way. A secret key variant of the McEliece public key cryptosystem [5] was introduced by Rao and Nam in [7]. One of the practical drawbacks of the Rao-Nam system is that it needs to keep in memory the set of error vectors and syndromes in order to remove the errors in the decryption process. Our proposal is to use the product of random error-correcting linear codes, and to take advantage of the product structure in order to tag the positions in error. The cryptosystem we present will have two main advantages: There are no memory requirements. The decryption process is easy.

Suggested Citation

  • Ángela I. Barbero & Juan G. Tena, 2002. "A Rao-Nam like Cryptosystem with Product Codes," Springer Books, in: Gary L. Mullen & Henning Stichtenoth & Horacio Tapia-Recillas (ed.), Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, pages 22-36, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59435-9_2
    DOI: 10.1007/978-3-642-59435-9_2
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