Results 41 to 50 of about 2,635,004 (136)
Finite Fields and Their Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Skew constacyclic codes over Galois rings
Advances in Mathematics of Communications, 2008 We generalize the construction of linear codes via skew polynomial rings by using Galois rings instead of finite fields as coefficients. The resulting non commutative rings are no longer left and right Euclidean. Codes that are principal ideals in quotient rings of skew polynomial rings by a two sided ideals are studied.
Boucher, Delphine +2 more
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Linear Algebra and its Applications, 2016 In this paper we investigate the class of constacyclic codes, which is a natural generalization of the class of cyclic and negacyclic codes. This class of codes is interesting in the sense that it contains codes with good or even optimal parameters.
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$\lambda$-CONSTACYCLIC CODES OVER FINITE KRASNER HYPERFIELDS
Facta Universitatis, Series: Mathematics and Informatics, 2022 The class of constacyclic codes plays an important role in the theory or error-correcting codes. They are considered as a remarkable generalization of cyclic codes. In this paper, we study constacyclic codes over finite Krasner hyperfields in which we characterize them by their generating polynomial.
Tahan, Madeleine Al, Davvaz, Bijan
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Constacyclic locally recoverable codes from their duals
Computational and Applied MathematicsA code has locality r if a symbol in any coordinate of a codeword in the code can be recovered by accessing the value of at most r other coordinates. Such codes are called locally recoverable codes (LRCs for short).
Rabia Zengin, M. Köroǧlu
semanticscholar +1 more source
Constacyclic Codes over $F_p+vF_p$
, 2013 In this paper, we study constacyclic codes over $F_p+vF_p$, where $p$ is an odd prime and $v^2=v$. The polynomial generators of all constacyclic codes over $F_p+vF_p$ are characterized and their dual codes are also determined.
Zhang, Guanghui, Chen, Bocong
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ON QUANTUM CODES CONSTRUCTION FROM CONSTACYCLIC CODES OVER THE RING I_q[u,v] /
Journal of the Indonesian Mathematical SocietyThis paper focuses on studying the properties of constacyclic codes, quantum error-correcting codes. The code is studied over a specific mathematical structure called the ring $\mathfrak{S}$, which is defined as $\mathfrak{S}=\mathfrak{I}_q[\mathfrak{u},\
Shakir Ali, Pushpendra Sharma
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Quasi-twisted codes with constacyclic constituent codes
Finite Fields and Their Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Minjia, Zhang, Yiping
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On ZpZp[u, v]-additive cyclic and constacyclic codes
, 2019 Let $\mathbb{Z}_{p}$ be the ring of residue classes modulo a prime $p$. The $\mathbb{Z}_{p}\mathbb{Z}_{p}[u,v]$-additive cyclic codes of length $(\alpha,\beta)$ is identify as $\mathbb{Z}_{p}[u,v][x]$-submodule of $\mathbb{Z}_{p}[x]/\langle x^{\alpha}-1 ...
Islam, Habibul, Prakash, Om
core
Asymmetric Entanglement-Assisted Quantum MDS Codes Constructed from Constacyclic Codes. [PDF]
Entropy (Basel), 2023 Chen J +7 more
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