2026-04-15T00:23:01Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/796982025-11-14T20:00:53Zcom_10324_1145com_10324_931com_10324_894col_10324_1254

00925njm 22002777a 4500 dc Bhowmick, Sanjit author Deka, Kuntal author Fotue Tabue, Alexandre author Martínez Moro, Edgar author 2026 This paper investigates the algebraic structure of complemen- tary pairs of additive cyclic codes over a finite commutative chain ring of odd characteristic. We demonstrate that for every additive complementary pair of additive codes, both constituent codes are free modules. Moreover, we present a necessary and sufficient condition for a pair of additive codes over a finite commutative chain ring of odd characteristic to form an additive complementary pair. Finally, we show that, in the case of a complementary pair of additive cyclic codes over a finite chain ring of odd characteristic, one of the codes is permutation equivalent to the trace dual of the other. Finite Fields and Their Applications, 2026, vol. 110, p. 102732 1071-5797 https://uvadoc.uva.es/handle/10324/79698 10.1016/j.ffa.2025.102732 102732 Finite Fields and Their Applications 110 Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings