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An Application of Möller’s Algorithm to Coding Theory

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Gröbner Bases, Coding, and Cryptography

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.

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Correspondence to M. Borges-Quintana .

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Borges-Quintana, M., Borges-Trenard, M.A., Martínez-Moro, E. (2009). An Application of Möller’s Algorithm to Coding Theory. In: Sala, M., Sakata, S., Mora, T., Traverso, C., Perret, L. (eds) Gröbner Bases, Coding, and Cryptography. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-93806-4_24

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