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: 152; Prenosov: 1
 Celotno besedilo (445,36 KB) |
2. The minimum weight of the code of intersecting lines in PG(3,q)Sam Adriaensen, Robin Simoens, Leo Storme, 2026, izvirni znanstveni članek Opis: We characterise the minimum weight codewords of the p-ary linear code of intersecting lines in PG(3,q), q = p^h, q ≥ 19, p prime, h ≥ 1. If q is even, the minimum weight equals q³ + q² + q + 1. If q is odd, the minimum weight equals q³ + 2q² + q + 1. For q even, we also characterise the codewords of second smallest weight.
Ključne besede: linear codes, finite projective spaces, Klein quadric
Objavljeno v RUP: 21.12.2025; Ogledov: 167; Prenosov: 0
Celotno besedilo (423,64 KB) |
3. The distance function on Coxeter-like graphs and self-dual codesMarko Orel, Draženka Višnjić, 2025, izvirni znanstveni članek Ključne besede: Coxeter graph, invertible symmetric matrices, binary field, rank, distance in graphs, alternate matrices, self-dual codes
Objavljeno v RUP: 30.05.2025; Ogledov: 819; Prenosov: 18
Celotno besedilo (1,26 MB)
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