Abstract:In this paper, we present constructions of primitive and non-primitive BCH codes using monoid rings over the local ring [Formula: see text], with [Formula: see text]. We show that there exist two sequences [Formula: see text] and [Formula: see text] of non-primitive BCH codes (over [Formula: see text] and [Formula: see text], respectively) against primitive BCH codes [Formula: see text] of length [Formula: see text] and [Formula: see text] (over [Formula: see text] and [Formula: see text]), respectively. A tec… Show more
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