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Journal articles
Group structure on projective spaces and cyclic codes over finite fields
Abstract : We study the geometrical properties of the subgroups of the multiplicative group of a finite extension of a finite field endowed with its vector space structure, and we show that in some cases the associated projective space has a natural groupe structure. We construct some cyclic codes related to Reed-Muller codes by evaluating polynomials on these subgroups. The geometrical properties of these groups give a fairly simple description of these codes of the Reed-Muller kind.
https://hal.univ-antilles.fr/hal-00770256
Contributor : Pamphile Isch <>
Submitted on : Friday, January 4, 2013 - 6:51:19 PM
Last modification on : Saturday, December 14, 2019 - 1:24:02 PM
Contributor : Pamphile Isch <>
Submitted on : Friday, January 4, 2013 - 6:51:19 PM
Last modification on : Saturday, December 14, 2019 - 1:24:02 PM
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