Convolutional codes with a maximum distance profile based on skew polynomials

12/08/2021

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by   Zitan Chen, et al.

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We construct a family of (n,k) convolutional codes with degree δin k,n-k that have a maximum distance profile. The field size required for our construction is of the order n^2δ, which improves upon the known constructions of convolutional codes with a maximum distance profile. Our construction is based on the theory of skew polynomials.