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A class of linear codes of length 2 over finite chain rings


Yonglin Cao, Yuan Cao, Hai Q. Dinh*, Fang-Wei Fu, Jian Gao, Songsak Sriboonchitta

Source title: 
Journal of Algebra and Its Applications, 2019 (ISI)
Academic year of acceptance: 

Let a be a finite field of cardinality pm, where p is an odd prime, k, λ be positive integers satisfying λ2, and denote b, where f(x) is an irreducible polynomial in b. In this note, for any fixed invertible element e, we present all distinct linear codes S over e of length 2 satisfying the condition: gfor all (a0, a1) ∈ S. This conclusion can be used to determine the structure of (δ + αu2)-constacyclic codes over the finite chain ring d of length npk for any positive integer n satisfying gcd(p, n)=1.