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Section: New Results

Quasi-cyclic codes

M. Barbier, Christophe Chabot and G. Quintin exhibited a bijective correspondence between the -quasi-cyclic codes over 𝔽q of length m and the set of ideals of M(𝔽q)[X]/(Xm-1) [29] . They proposed also two new classes called the quasi-BCH and quasi-evaluation codes. For the first one, they introduced a unambiguous decoding algorithm, and thanks to the second one they designed 49 new codes over 𝔽4 which have a bigger minimum distance than previously known codes.