Galois hulls of cyclic serial codes over a finite chain ring

02/13/2021

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by   Sarra Talbi, et al.

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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 p^r-dimension of the Euclidean hull, where 𝔽_p^r is the residue field of R, and we provide some results of its relative growth.