2026-04-22T04:47:15Zhttps://uvadoc.uva.es/oai/request

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

Bhowmick, Sanjit Deka, Kuntal Fotue Tabue, Alexandre Martínez Moro, Edgar 2025-11-14T13:59:13Z 2025-11-14T13:59:13Z 2026 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 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. eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ © 2025 The Author(s) Attribution-NonCommercial-NoDerivatives 4.0 Internacional Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings info:eu-repo/semantics/article