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Mattson Solomon Transform and Algebra Codes

In: Gröbner Bases, Coding, and Cryptography

Author

Listed:
  • Edgar Martínez-Moro

    (Universidad de Valladolid, Departamento de Matemática Aplicada)

  • Diego Ruano

    (Technische Universität Kaiserslautern, Fachbereich Mathematik)

Abstract

In this note we review some results of the first author on the structure of codes defined as subalgebras of a commutative semisimple algebra over a finite field (see Martínez-Moro in Algebra Discrete Math. 3:99–112, 2007). Generator theory and those aspects related to the theory of Gröbner bases are emphasized.

Suggested Citation

  • Edgar Martínez-Moro & Diego Ruano, 2009. "Mattson Solomon Transform and Algebra Codes," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 385-388, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-93806-4_25
    DOI: 10.1007/978-3-540-93806-4_25
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