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Convolutional codes with a maximum distance profile based on skew polynomials
Published 8 Dec 2021 in cs.IT, cs.CC, math.IT, and math.RA | (2112.04118v1)
Abstract: We construct a family of (n,k) convolutional codes with degree \delta in {k,n-k} that have a maximum distance profile. The field size required for our construction is of the order n{2\delta}, which improves upon the known constructions of convolutional codes with a maximum distance profile. Our construction is based on the theory of skew polynomials.
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