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.
First author was partially supported by the Spanish MICINN through projects MTM2007-66842, MTM2007-64704, by AECI project A/7745/07 and by Junta de CyL project VA065A07. Second author was partially supported by the Spanish MICINN through project MTM2007-64704, by Junta de CyL project VA065A07 and by DASMOD-Cluster of Excellence in Rhineland-Palatinate (Germany).
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Martínez-Moro, E., Ruano, D. (2009). Mattson Solomon Transform and Algebra Codes. 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_25
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DOI: https://doi.org/10.1007/978-3-540-93806-4_25
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