Results 1 to 10 of about 1,655,369 (166)
Quantum Coding via Quasi-Cyclic Block Matrix [PDF]
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 of Index 3 [PDF]
EntropyQuasi-cyclic codes of index 3 over finite fields are studied. We give a classification of such codes. Their duals with respect to the Euclidean and Hermitian inner products are investigated.
Kanat Abdukhalikov, Rasha M. Shat
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Optimized Design of Distributed Quasi-Cyclic LDPC Coded Spatial Modulation [PDF]
Sensors, 2023 We propose a distributed quasi-cyclic low-density parity-check (QC-LDPC) coded spatial modulation (D-QC-LDPCC-SM) scheme with source, relay and destination nodes. At the source and relay, two distinct QC-LDPC codes are used.
Chunli Zhao +4 more
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On the Girth of (3,L) Quasi-Cyclic LDPC Codes based on Complete Protographs [PDF]
International Symposium on Information Theory, 2015 We consider the problem of constructing $(3,L)$ quasi-cyclic low-density parity-check (LDPC) codes from complete protographs. A complete protograph is a small bipartite graph with two disjoint vertex sets such that every vertex in the variable-node set ...
Divsalar, Dariush +2 more
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A Flexible FPGA-Based Quasi-Cyclic LDPC Decoder
IEEE Access, 2017 Low-density parity check (LDPC) error correction decoders have become popular in diverse communications systems, owing to their strong error correction performance and their suitability to parallel hardware implementation. A great deal of research effort
Peter Hailes +4 more
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On the additive cyclic structure of quasi-cyclic codes
Discrete Mathematics, 2018 An index l , length m l quasi-cyclic code can be viewed as a cyclic code of length m over the field F q l via a basis of the extension F q l ∕ F q . However, this cyclic code is only linear over F q , making it an additive cyclic code, or an F q -linear ...
Cem Güneri +2 more
exaly +2 more sources
Quasi-Cyclic Complementary Dual Code
Finite Fields Their Appl., 2015 LCD codes are linear codes that intersect with their dual trivially. Quasi cyclic codes that are LCD are characterized and studied by using their concatenated structure. Some asymptotic results are derived.
Güneri, Cem +2 more
core +3 more sources
Automorphism Ensemble Decoding of Quasi-Cyclic LDPC Codes by Breaking Graph Symmetries [PDF]
IEEE Communications Letters, 2022 We consider automorphism ensemble decoding (AED) of quasi-cyclic (QC) low-density parity-check (LDPC) codes. Belief propagation (BP) decoding on the conventional factor graph is equivariant to the quasi-cyclic automorphisms and therefore prevents gains ...
Marvin Geiselhart +4 more
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Quasi-Cyclic Stern Proof of Knowledge [PDF]
International Symposium on Information Theory, 2021 The ongoing NIST standardization process has shown that Proof of Knowledge (PoK) based signatures have become an important type of possible post-quantum signatures. Regarding code-based cryptography, the main original approach for PoK based signatures is
L. Bidoux, P. Gaborit, N. Sendrier
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Two Open Problems on CA-Groupoids and Cancellativities of T2CA-Groupoids
Axioms, 2022 Cyclic associative groupoids (CA-groupoids) and Type-2 cyclic associative groupoids (T2CA-groupoids) are two types of non-associative groupoids which satisfy cyclic associative law and type-2 cyclic associative law, respectively.
Xiaogang An, Xiaohong Zhang, Zhirou Ma
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