| Title: | Reversible complement cyclic codes over finite chain rings |
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| Authors: | ID Dalal, Monika (Author)
ID Dutt, Sucheta (Author)
ID Sehmi, Ranjeet (Author) |
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| Files: |  ADAM_Dalal,_Dutt,_Sehmi_2026.pdf (445,36 KB)
MD5: 314D266E6B01D2AC8D1B81843E01E44D
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | 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. |
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| Keywords: | cyclic codes, reversible codes, torsion codes, generators |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 23.01.2025 |
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| Publisher: | Založba Univerze na Primorskem |
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| Year of publishing: | 2026 |
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| Number of pages: | 12 str. |
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| Numbering: | Vol 9, no. 1, [article no.] P1.03 |
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| PID: | 20.500.12556/RUP-22298  |
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| UDC: | 51 |
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| eISSN: | 2590-9770 |
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| DOI: | 10.26493/2590-9770.1693.e13 |
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| Publication date in RUP: | 22.12.2025 |
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| Views: | 214 |
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| Downloads: | 1 |
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