Results 11 to 20 of about 672 (207)
IEEE Transactions on Information Theory, 2013 A constant dimension code consists of a set of k-dimensional subspaces of Fqn. Orbit codes are constant dimension codes which are defined as orbits of a subgroup of the general linear group, acting on the set of all subspaces of Fqn. If the acting group is cyclic, the corresponding orbit codes are called cyclic orbit codes.
Anna-Lena Trautmann +3 more
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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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CoRR, 2020 arXiv admin note: text overlap with arXiv:1906 ...
Güneri, Cem, Ling, San, Özkaya, Buket
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Cyclic and Convolutional Codes With Locality [PDF]
IEEE Transactions on Information Theory, 2021 An extended abstract of this work appears in Proceedings of the 2020 IEEE International Symposium on Information Theory (ISIT 2020)
Zitan Chen, Alexander Barg
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Designs, Codes and Cryptography, 2021 In network coding, a flag code is a set of sequences of nested subspaces of $\mathbb{F}_q^n$, being $\mathbb{F}_q$ the finite field with $q$ elements. Flag codes defined as orbits of a cyclic subgroup of the general linear group acting on flags of $\mathbb{F}_q^n$ are called cyclic orbit flag codes.
Clementa Alonso-González +1 more
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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 ringsВ 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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On quasi-cyclic codes as a generalization of cyclic codes
Finite Fields and Their Applications, 2012 In this article we see quasi-cyclic codes as block cyclic codes. We generalize some properties of cyclic codes to quasi-cyclic ones such as generator polynomials and ideals. Indeed we show a one-to-one correspondence between l-quasi-cyclic codes of length m and ideals of M_l(Fq)[X]/(X^m-1).
Morgan Barbier +2 more
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Quantum Codes Obtained From Constacyclic Codes Over a Family of Finite Rings Fp[u₁, u₂, …, us]
IEEE Access, 2020 In this article, we construct some MDS quantum error-correcting codes (QECCs) from classes of constacyclic codes over Rs = Fp + u1Fp + ··· + usFp, ui2 = ui, uiuj = ujui = 0, for odd prime p and i, j = 1, 2,⋯, s, i ≠ j ...
Hai Q. Dinh +4 more
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On Cyclic Convolutional Codes [PDF]
Acta Applicandae Mathematica, 2004 50 ...
Gluesing-Luerssen, Heide +1 more
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