Results 21 to 30 of about 1,045 (128)
Some Results on Images of a Class of λ-Constacyclic Codes Over Finite Fields
IEEE Access, 2020 In this paper, we show that any λ-constacyclic code over Fqm is a λ-constacyclic code over Fq under some special maps. Moreover, we show that the images of these λ_constacyclic codes can be put into the concatenated form.
Jian Gao, Juan Li, Yongkang Wang
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CONSTACYCLIC CODES OVER LIPSCHITZ INTEGERS
Matematički Vesnik, 2023 Summary: In this paper, the goal is to obtain constacyclic codes over Lipschitz integers in terms of Lipschitz metric. A decoding procedure is proposed for these codes, some of which have been shown to be perfect codes. Performance of constacyclic codes over Lipschitz integers is investigated over Additive White Gaussian Channel (AWGN) by means of ...
Guzeltepe, Murat +2 more
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Galois self-dual constacyclic codes [PDF]
Designs, Codes and Cryptography, 2016 Key words: Constacyclic code, Galois inner product, $q$-coset function, isometry, Galois self-dual ...
Yun Fan, Liang Zhang
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IEEE Access, 2022 In this paper, we introduce a new design method of burst error control codes (BECCs), which can correct single burst error or two random bit errors by using the maximum likelihood syndrome decoder (MLSD), where the proposed BECCs are designed by a ...
Chanki Kim, Jae-Won Kim, Jong-Seon No
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Skew Cyclic codes over $\F_q+u\F_q+v\F_q+uv\F_q$ [PDF]
, 2015 In this paper, we study skew cyclic codes over the ring $R=\F_q+u\F_q+v\F_q+uv\F_q$, where $u^{2}=u,v^{2}=v,uv=vu$, $q=p^{m}$ and $p$ is an odd prime. We investigate the structural properties of skew cyclic codes over $R$ through a decomposition theorem.
Shi, Minjia, Solé, Patrick, Yao, Ting
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A generalization of cyclic code equivalence algorithm to constacyclic codes
Designs, Codes and Cryptography, 2022 Recently, a new algorithm to test equivalence of two cyclic codes has been introduced which is efficient and produced useful results. In this work, we generalize this algorithm to constacyclic codes. As an application of the algorithm we found many constacyclic codes with good parameters and properties. In particular, we found 23 new codes that improve
Dev Akre +3 more
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IEEE Access, 2020 Let F2(m) be a finite field of 2m elements, λ and k be integers satisfying λ, k ≥ 2 and denote R = F2(m)[u]/(u2λ). Let δ, α ∈ F2(m)×.
Yuan Cao +4 more
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Hamming Distance of Constacyclic Codes of Length
IEEE Access, 2021 Let $p$ be any prime, $s$ and $m$ be positive integers. In this paper, we completely determine the Hamming distance of all constacyclic codes of length $p^s$ over the finite commutative chain ring $\mathbb {F}_{p^m}+ u\mathbb {F}_{p^m} + u^{2 ...
Hai Q. Dinh +3 more
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On the Hamming Distances of Constacyclic Codes of Length 5
IEEE Access, 2020 Let $p$ be a prime, $s$ , $m$ be positive integers, and $\lambda $ be a nonzero element of the finite field $\mathbb {F}_{p^{m}}$ . In this paper, the algebraic structures of constacyclic codes of length $5~p^{s}~(p\neq 5)$ are obtained, which ...
Hai Q. Dinh +2 more
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Skew Constacyclic Codes over Finite Fields and Finite Chain Rings
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016 This paper overviews the study of skew Θ‐λ‐constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ‐λ‐constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ‐cyclic and skew Θ‐negacyclic codes over finite chain rings in general and ...
Hai Q. Dinh +3 more
wiley +1 more source