Symbol-pair codes are used to protect against symbol-pair errors in high density data
storage systems. One of the most important tasks in symbol-pair coding theory is to design …

In this paper, we use the CSS and Steane's constructions to establish quantum error-
correcting codes (briefly, QEC codes) from cyclic codes of length 3 ps over F pm. We obtain …

In this paper, we use the CSS and Steane's constructions to establish quantum error-
correcting codes (briefly, QEC codes) from cyclic codes of length over. We obtain several …

In this paper, we first discuss linear codes over R and present the decomposition structure of
linear codes over the mixed alphabet F q R, where R= F q+ u F q+ v F q+ uv F q, with u 2= 1 …

In this article, we construct some MDS quantum error-correcting codes (QECCs) from
classes of constacyclic codes over R s= F p+ u 1 F p+···+ us F p, ui 2= ui, uiuj= ujui= 0, for …

Let p≠ 3 be any prime. The structures of all λ-constacyclic codes of length 3p s over the
finite commutative chain ring Fp m+ uFp m (u 2= 0) are established in the term of their …

Abstract Let R= F 2+ u F 2 (u 2= 0) and S= F 2+ u F 2+ u 2 F 2 (u 3= 0) be two finite
commutative chain rings. This paper studies F 2 R S-cyclic codes, which are described as S …

If we fix the code length n and dimension k, maximum distance separable (briefly, MDS)
codes form an important class of codes because the class of MDS codes has the greatest …

For any odd prime p, the structures and duals of λ-constacyclic codes of length 8ps over R=
Fpm+ uFpm are completely determined for all unit λ of the form λ= ξl∈ Fpm, where l is even …

Let p be an odd prime, and δ δ be an arbitrary unit of the finite chain ring F _ p^ m+ u F _ p^
m\,\,(u^ 2= 0) F pm+ u F pm (u 2= 0). The Hamming distances of all δ δ-constacyclic codes of …