RT info:eu-repo/semantics/article
T1 Trace duality and additive complementary pairs of additive cyclic codes over finite chain rings
A1 Bhowmick, Sanjit
A1 Deka, Kuntal
A1 Fotue Tabue, Alexandre
A1 Martínez Moro, Edgar
K1 Additive cyclic codes
K1 Additive complementary pairs
K1 Trace dual
K1 Finite chain ring
K1 1201 Álgebra
AB This paper investigates the algebraic structure of complemen-tary pairs of additive cyclic codes over a finite commutativechain ring of odd characteristic. We demonstrate that forevery additive complementary pair of additive codes, bothconstituent codes are free modules. Moreover, we present anecessary and sufficient condition for a pair of additive codesover a finite commutative chain ring of odd characteristic toform an additive complementary pair. Finally, we show that,in the case of a complementary pair of additive cyclic codesover a finite chain ring of odd characteristic, one of the codesis permutation equivalent to the trace dual of the other.
PB Elsevier
SN 1071-5797
YR 2026
FD 2026
LK https://uvadoc.uva.es/handle/10324/79698
UL https://uvadoc.uva.es/handle/10324/79698
LA eng
NO Finite Fields and Their Applications, 2026, vol. 110, p. 102732
NO Producción Científica
DS UVaDOC
RD 15-nov-2025