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arXiv:2407.19815 [math.CO]AbstractReferencesReviewsResources

Weight Enumerators of codes over $\mathbb{F}_2$ and over $\mathbb{Z}_4$

A. K. M. Selim Reza, Manabu Oura, Nur Hamid

Published 2024-07-29Version 1

The symmetrized weight enumerators of pairs of Type II code over $\mathbb{F}_{2}$ and $\mathbb{Z}_{4}$, which are invariants for a specified group, have been examined in this paper. It is shown that, for degrees 8 and 16, the space of the invariants ring of that group coincides with the ring generated from those weight enumerators.

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