20.500.12556/RUP-22298 Reversible complement cyclic codes over finite chain rings Obrnljive ciklične kode nad končnim verižnim kolobarjem 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. cyclic codes reversible codes torsion codes generators ciklične kode obrnljive kode torzijske kode generatorji true false true Založba Univerze na Primorskem Angleški jezik Slovenski jezik Članek v reviji 2025-12-22 11:42:21 2025-12-22 11:42:22 2026-01-05 11:44:53 0000-00-00 00:00:00 2026 0 0 12 str. no. 1, [article no.] P1.03 Vol 9 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-01-23 51 2590-9770 10.26493/2590-9770.1693.e13 ADAM_Dalal,_Dutt,_Sehmi_2026.pdf ADAM_Dalal,_Dutt,_Sehmi_2026.pdf 1 314D266E6B01D2AC8D1B81843E01E44D 90696a4418b463031c0d331dcc58baf33f097b98501dfa2e54ffe5f7d56f66f5 8c8cb544-df23-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=32382 Založba Univerze na Primorskem 0 0 0