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arXiv · 2102.01510

On Skew Convolutional and Trellis Codes

Vladimir Sidorenko·Wenhui Li·Onur Günlü·Gerhard Kramer
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Abstract

Two new classes of skew codes over a finite field $\F$ are proposed, called skew convolutional codes and skew trellis codes. These two classes are defined by, respectively, left or right sub-modules over the skew fields of fractions of skew polynomials over $\F$. The skew convolutional codes can be represented as periodic time-varying ordinary convolutional codes. The skew trellis codes are in general nonlinear over $\F$. Every code from both classes has a code trellis and can be decoded by Viterbi or BCJR algorithms.

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Vladimir Sidorenko, Wenhui Li, Onur Günlü, Gerhard Kramer. 2021-02-02. On Skew Convolutional and Trellis Codes. https://arxiv.org/abs/2102.01510

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