Construction of MDS self-dual codes from orthogonal matrices

Published 25 Oct 2016 in cs.IT and math.IT | (1610.07736v1)

Abstract: In this paper, we give algorithms and methods of construction of self-dual codes over finite fields using orthogonal matrices. Randomization in the orthogonal group, and code extension are the main tools. Some optimal, almost MDS, and MDS self-dual codes over both small and large prime fields are constructed.

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