Results 31 to 40 of about 56,593 (280)
Multidimensional Quasi-Cyclic and Convolutional Codes [PDF]
IEEE Transactions on Information Theory, 2016 We introduce multidimensional analogues of quasi-cyclic (QC) codes and study their algebraic structure. We demonstrate a concatenated structure for multidimensional QC codes and use this to prove that this class of codes is asymptotically good. We also relate the new family of codes to convolutional codes.
Cem Güneri, Buket Özkaya
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IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences, 2021 SUMMARY A construction method of self-orthogonal and self-dual quasi-cyclic codes is shown which relies on factorization of modulus polynomials for cyclicity in this study.
H. Matsui
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Quasi-Cyclic LDPC Codes of Column-Weight Two Using a Search Algorithm
EURASIP Journal on Advances in Signal Processing, 2007 This article introduces a search algorithm for constructing quasi-cyclic LDPC codes of column-weight two. To obtain a submatrix structure, rows are divided into groups of equal sizes.
Michael Liebelt, Gabofetswe Malema
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On quasi-cyclic subspace codes
CoRR, 2016 Construction of subspace codes with good parameters is one of the most important problems in random network coding. In this paper we present first a generalization of the concept of cyclic subspaces codes and further we show that the usual methods for constructing cyclic subspace codes over finite fields works for m-quasi cyclic codes, namely the ...
Ismael Gutiérrez, Ivan Molina
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Quantum Quasi-Cyclic LDPC Codes [PDF]
2007 IEEE International Symposium on Information Theory, 2007 In this paper, a construction of a pair of "regular" quasi-cyclic LDPC codes as ingredient codes for a quantum error-correcting code is proposed. That is, we find quantum regular LDPC codes with various weight distributions. Furthermore our proposed codes have lots of variations for length, code rate. These codes are obtained by a descrete mathematical
Manabu Hagiwara, Hideki Imai
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Finite Fields and Their Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongxi Tong, Ding Yang
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Decomposing Quasi-Cyclic Codes
Electronic Notes in Discrete Mathematics, 2001 Abstract A new algebraic approach to quasi-cyclic codes is introduced. Technical tools include the Chinese Remainder Theorem, the Discrete Fourier Transform, Chain rings. The main results are a characterization of self-dual quasi-cyclic codes, a trace representation that generalizes that of cyclic codes, and an interpretation of the squaring and ...
San Ling, Patrick Solé
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On the Construction of Skew Quasi-Cyclic Codes [PDF]
IEEE Transactions on Information Theory, 2010 In this paper we study a special type of quasi-cyclic (QC) codes called skew QC codes. This set of codes is constructed using a non-commutative ring called the skew polynomial rings $F[x;θ]$. After a brief description of the skew polynomial ring $F[x;θ]$ it is shown that skew QC codes are left submodules of the ring $R_{s}^{l}=(F[x;θ]/(x^{s}-1))^{l ...
Taher Abualrub +3 more
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Cyclic and Quasi-Cyclic DNA Codes
CoRR, 2021 draft, 16 ...
Adel Alahmadi +4 more
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Good Stabilizer Codes from Quasi-Cyclic Codes over F4 and F9 [PDF]
International Symposium on Information Theory, 2019 We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over F4 and F9 to derive good qubit and qutrit stabilizer codes, respectively. In several occasions we obtain quantum codes with stricly improved parameters than the current
M. F. Ezerman +3 more
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