Geodesic
Properties and applications of $G$-orbits polynomial invariants of errors in reverse codes
Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2018), pp. 21-28

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In this paper is described a two-step procedure for polynomial-norm error correction with reverse error correcting codes. Such codes of length n traditionally are defined by check matrix $H_{R}=(\beta^{i},\beta^{-i})^{T}, 0\leq i\leq n-1, \beta=\alpha^{\frac{2^{m}-1}{n}}$ and $\alpha$ is primitive element of $GF(2^{m})$. Also in paper you can find a description of error correction algorithm and an example based on reverse code of length $89$.
Keywords: error correcting codes; code minimal distance; reverse codes; BCH codes; norm method of error correction. 
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     author = {A. V. Kushnerov and V. A. Lipnitski},
     title = {Properties and applications of $G$-orbits polynomial invariants of errors in reverse codes},
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A. V. Kushnerov; V. A. Lipnitski. Properties and applications of $G$-orbits polynomial invariants of errors in reverse codes. Journal of the Belarusian State University. Mathematics and Informatics, Tome 3 (2018), pp. 21-28. http://geodesic.mathdoc.fr/item/BGUMI_2018_3_a2/