The complete weight enumerator for codes over Mn×s(Fq)

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Abstract

The MacWilliams identity for codes over Mn×s (Fq) endowed with a non-Hamming metric is proved in [1]. We introduce a complete weight enumerator for these codes and prove a MacWilliams identity with respect to this new metric for the complete weight enumerator.

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Siap, I. (2001). The complete weight enumerator for codes over Mn×s(Fq). In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2260, pp. 20–26). Springer Verlag. https://doi.org/10.1007/3-540-45325-3_3

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