Weight distributions of a class of skew cyclic codes over $ M_{2}(\mathbb{F}_{2}) $

Let $ M_{2}(\mathbb{F}_{2}) $ be the ring of matrices of order $ 2 \times 2 $ over finite field $ \mathbb{F}_{2} $ and $ \omega\in M_{2}(\mathbb{F}_{2}) $ be a cubic primitive root of unity. For any even positive integer $ t $, the weight distributions of the skew cyclic codes of length $ 3t $ with...

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Bibliographic Details

Published in:	AIMS Mathematics
Main Authors:	Zhen Du, Chuanze Niu
Format:	Article
Language:	English
Published:	AIMS Press 2025-05-01
Subjects:	skew cyclic code matrix ring weight distribution module homomorphism
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2025520