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An Application of Möller’s Algorithm to Coding Theory

In: Gröbner Bases, Coding, and Cryptography

Author

Listed:
  • M. Borges-Quintana

    (U. de Oriente, Dpto. de Matemática, FCMC)

  • M. A. Borges-Trenard

    (U. de Oriente, Dpto. de Matemática, FCMC)

  • E. Martínez-Moro

    (U. de Valladolid, Dpto. de Matemática Aplicada)

Abstract

We show the use of Möller’s Algorithm and related techniques for decoding and studying some combinatorial properties of linear codes. It is a concise summary of our previous results, with emphasis in illustrating the applications and comparing the developed method for computing the Gröbner basis associated with the code with the classical way to solve the same problem.

Suggested Citation

  • M. Borges-Quintana & M. A. Borges-Trenard & E. Martínez-Moro, 2009. "An Application of Möller’s Algorithm to Coding Theory," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 379-384, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-93806-4_24
    DOI: 10.1007/978-3-540-93806-4_24
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