1. Reversible complement cyclic codes over finite chain ringsMonika Dalal, Sucheta Dutt, Ranjeet Sehmi, 2026, izvirni znanstveni članek Opis: In this paper, necessary and sufficient conditions for the reversibility of a cyclic code of arbitrary length over a finite commutative chain ring have been derived. MDS reversible cyclic codes having length ps over a finite chain ring with nilpotency index 2 have been characterized and a few examples of MDS reversible cyclic codes have been presented. Further, it is shown that the torsion codes of a reversible cyclic code over a finite chain ring are reversible. Also, an example of a non-reversible cyclic code for which all its torsion codes are reversible has been presented to show that the converse of this statement is not true. The cardinality and Hamming distance of a cyclic code over a finite commutative chain ring have also been determined.
Ključne besede: cyclic codes, reversible codes, torsion codes, generators
Objavljeno v RUP: 22.12.2025; Ogledov: 269; Prenosov: 1
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4. Coding theory and applications, solved exercises and problems of cyclic codesEnes Pašalić, 2013, drugo učno gradivo Ključne besede: finite field, counting cyclic codes, codeword, Hamming code, Ternary Golay code, BCH code, BCH decoding, Fire code, Erasure corrections, MDS code, convolutional code
Objavljeno v RUP: 15.10.2013; Ogledov: 4545; Prenosov: 98
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