Results 21 to 30 of about 37,403 (267)
Моделирование и анализ информационных систем, 2023 The development of fast algorithms for key generation, encryption and decryption not only increases the efficiency of related operations. Such fast algorithms, for example, for asymmetric cryptosystems on quasi-cyclic codes, make it possible to ...
Andrey N. Sushko +4 more
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Quasi-cyclic constructions of quantum codes
Finite Fields and Their Applications, 2018 We give sufficient conditions for self-orthogonality with respect to symplectic, Euclidean and Hermitian inner products of a wide family of quasi-cyclic codes of index two. We provide lower bounds for the symplectic weight and the minimum distance of the involved codes.
Carlos Galindo 0001 +2 more
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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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Optimizing quasi-cyclic spatially coupled LDPC codes by eliminating harmful objects
EURASIP Journal on Wireless Communications and Networking, 2023 It is well known that some harmful objects in the Tanner graph of low-density parity-check (LDPC) codes have a negative impact on their error correction performance under iterative message-passing decoding.
Massimo Battaglioni +4 more
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Quantum Coding via Quasi-Cyclic Block Matrix
Entropy, 2023 An effective construction method for long-length quantum code has important applications in the field based on large-scale data. With the rapid development of quantum computing, how to construct this class of quantum coding has become one of the key ...
Yuan Li, Jin-Yang Li
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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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Analysis of Quasi-Cyclic LDPC codes under ML decoding over the erasure channel [PDF]
, 2010 In this paper, we show that Quasi-Cyclic LDPC codes can efficiently accommodate the hybrid iterative/ML decoding over the binary erasure channel. We demonstrate that the quasi-cyclic structure of the parity-check matrix can be advantageously used in ...
Cunche, Mathieu +2 more
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New Binary Quantum Codes Derived From One-Generator Quasi-Cyclic Codes
IEEE Access, 2019 In this paper, we consider a family of one-generator quasi-cyclic (QC) codes and their applications in quantum codes construction. We give a sufficient condition for one-generator QC codes to be self-orthogonal with respect to the symplectic inner ...
Jingjie Lv, Ruihu Li, Junli Wang
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4-CYCLE FREE APM LDPC CODES WITH AN EXPLICIT CONSTRUCTION [PDF]
Journal of Algebraic Systems, 2021 Recently, a class of low-density parity-check codes based on affine permutation matrices, called APM-LDPC codes, have been considered which have some advantages than quasi-cyclic (QC) LDPC codes in terms of minimum-distance, cycle distribution, and error-
Z. Gholami, M. Gholami
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The design of structured LDPC codes with algorithmic graph construction [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2022 Low-Density Parity-Check (LDPC) codes are among the most effective modern error-correcting codes due to their excellent correction performance and highly parallel decoding scheme.
Wojciech Sułek
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