Results 41 to 50 of about 11,676 (284)
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
openaire +4 more sources
, 2021 Quasi-cyclic codes form an important class of algebraic codes that includes cyclic codes as a special subclass. This chapter focuses on the algebraic structure of quasi-cyclic codes, first. Based on these structural properties, some asymptotic results,
Güneri, Cem, Özkaya, Buket, Ling, San
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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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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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Construction of regular quasi-cyclic protograph LDPC codes based on Vandermonde matrices
, 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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High-Speed Reconciliation for CVQKD Based on Spatially Coupled LDPC Codes
IEEE Photonics Journal, 2018 The speed of continuous variable quantum key distribution is limited by the reconciliation efficiency and the reconciliation frame error rate (FER) in the reconciliation phase.
Xue-Qin Jiang +3 more
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Quasi-cyclic Generalized LDPC codes with low error floors
, 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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