Results 21 to 30 of about 35,710 (296)
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
doaj +1 more source
Construction of regular quasi-cyclic protograph LDPC codes based on Vandermonde matrices [PDF]
, 2008 In this contribution, we investigate the attainable performance of quasi-cyclic (QC) protograph Low-Density Parity-Check (LDPC) codes for transmission over both Additive White Gaussian Noise (AWGN) and uncorrelated Rayleigh channels.
Sheng Chen +5 more
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Quasi-cyclic Generalized LDPC codes with low error floors [PDF]
, 2008 In this paper, a novel methodology for designing structured generalized LDPC (G-LDPC) codes is presented. The proposed design results in quasi-cyclic G-LDPC codes for which efficient encoding is feasible through shift-register-based circuits.
Ryan, William E. +6 more
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From Product Codes to Structured Generalized LDPC Codes [PDF]
, 2010 Product codes, due to their relatively large minimum distance, are often seen as a natural solution for applications requiring low error floors.
Paolini, Enrico +10 more
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On Cyclic Convolutional Codes [PDF]
Acta Applicandae Mathematica, 2004 50 ...
Gluesing-Luerssen, Heide +1 more
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On the exponent of cyclic codes
CoRR, 2022 We propose an algorithm to find a lower bound for the number of cyclic codes over any finite field with any given exponent. Besides, we give a formula to find the exponent of BCH codes.
Anuj Kumar Bhagat, Ritumoni Sarma
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Short Low-Rate Non-Binary Turbo Codes [PDF]
, 2012 A serial concatenation of an outer non-binary turbo code with different inner binary codes is introduced and analyzed. The turbo code is based on memory-1 time-variant recursive convolutional codes over high order fields.
Paolini, Enrico +9 more
core +1 more source
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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Multilevel structured low-density parity-check codes [PDF]
, 2008 Low-Density Parity-Check (LDPC) codes are typically characterized by a relatively high-complexity description, since a considerable amount of memory is required in order to store their code description, which can be represented either by the connections ...
S. Chen +5 more
core +1 more source