Results 1 to 10 of about 154,580 (130)
Entanglement-Assisted Quantum Codes from Cyclic Codes [PDF]
Entropy, 2022 Entanglement-assisted quantum-error-correcting (EAQEC) codes are quantum codes which use entanglement as a resource. These codes can provide better error correction than the (entanglement unassisted) codes derived from the traditional stabilizer ...
Francisco Revson F. Pereira +1 more
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On Quasi-Cyclic Codes of Index 3 [PDF]
EntropyQuasi-cyclic codes of index 3 over finite fields are studied. We give a classification of such codes. Their duals with respect to the Euclidean and Hermitian inner products are investigated.
Kanat Abdukhalikov, Rasha M. Shat
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A Family of Five-Weight Cyclic Codes and Their Weight Enumerators
IEEE Transactions on Information Theory, 2013 Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms.
Zhengchun Zhou +2 more
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New DNA Codes from Cyclic Codes over Mixed Alphabets
Mathematics, 2020 Let R=F4+uF4,withu2=u and S=F4+uF4+vF4,withu2=u,v2=v,uv=vu=0. In this paper, we study F4RS-cyclic codes of block length (α,β,γ) and construct cyclic DNA codes from them. F4RS-cyclic codes can be viewed as S[x]-submodules of Fq[x]〈xα−1〉×R[x]〈xβ−1〉×S[x]〈xγ−
Hai Q. Dinh +3 more
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Construction of reversible cyclic codes over 𝔽q + u𝔽q + u2𝔽q
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Let q be a power of prime p. In this article, we investigate the reversible cyclic codes of arbitrary length n over the ring R = 𝔽q +u𝔽q + u2𝔽q, where u3 = 0 mod q.
Rehman Nadeem ur +2 more
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Linear codes and cyclic codes over finite rings and their generalizations: a survey
Electronic Journal of Graph Theory and Applications, 2023 We survey a recent progress of cyclic codes over finite rings and their generalization to skew cyclic as well as skew cyclic codes with derivation over finite rings, focusing on structural properties of the codes.
Djoko Suprijanto
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Lietuvos Matematikos Rinkinys, 2005 We characterize degenerate cyclic codes and study their properties.
Gintaras Skersys
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On quasi-cyclic codes and traces of codes
Lietuvos Matematikos Rinkinys, 2004 There is not abstract.
Gintaras Skersys
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On cyclic DNA codes over the rings Z4 + wZ4 and Z4 + wZ4 + vZ4 + wvZ4
Biomath, 2017 The structures of cyclic DNA codes of odd length over the finite rings R = Z4 + wZ4, w^2 = 2 and S = Z4 + wZ4 + vZ4 + wvZ4; w^2 = 2; v^2 =v; wv = vw are studied.
Abdullah Dertli, Yasemin Cengellenmis
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Quasi-Cyclic Codes Via Unfolded Cyclic Codes and Their Reversibility
IEEE Access, 2019 The finite field $\mathbb {F}_{q^\ell }$ of $q^\ell $ elements contains $\mathbb {F}_{q}$ as a subfield. If $\theta \in \mathbb {F}_{q^\ell }$ is of degree $\ell $ over $\mathbb {F}_{q}$ , it can be used to unfold elements of $\mathbb {F}_{q^\
Ramy Taki Eldin, Hajime Matsui
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