Mattson solomon transform and algebra codes

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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. © 2009 Springer-Verlag Berlin Heidelberg.

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Martínez-Moro, E., & Ruano, D. (2009). Mattson solomon transform and algebra codes. In Gröbner Bases, Coding, and Cryptography (pp. 385–388). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-93806-4_25

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