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The search of Type I codes (2110.09244v1)
Published 18 Oct 2021 in cs.IT, cs.MS, and math.IT
Abstract: A self-dual binary linear code is called Type I code if it has singly-even codewords, i.e.~it has codewords with weight divisible by $2.$ The purpose of this paper is to investigate interesting properties of Type I codes of different lengths. Further, we build up a computer-based code-searching program based on our knowledge about Type I codes. Some computation results achieved by this program are given.