2026-04-18T18:55:32Zhttps://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 Producción Científica 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. application/pdf eng Elsevier info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-nd/4.0/ © 2025 The Author(s) Attribution-NonCommercial-NoDerivatives 4.0 Internacional Additive cyclic codes Additive complementary pairs Trace dual Finite chain ring 1201 Álgebra Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion https://www.sciencedirect.com/science/article/pii/S1071579725001625 SI