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Galois hulls of cyclic serial codes over a finite chain ring (2102.06995v1)
Published 13 Feb 2021 in cs.IT, cs.DM, and math.IT
Abstract: In this paper, we explore some properties of Galois hulls of cyclic serial codes over a chain ring and we devise an algorithm for computing all the possible parameters of the Euclidean hulls of that codes. We also establish the average $pr$-dimension of the Euclidean hull, where $\mathbb{F}_{pr}$ is the residue field of $R$, and we provide some results of its relative growth.
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