Results 21 to 30 of about 4,588 (252)
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 +3 more sources
Novel Side-Channel Attacks on Quasi-Cyclic Code-Based Cryptography
Transactions on Cryptographic Hardware and Embedded Systems, 2019 Chou suggested a constant-time implementation for quasi-cyclic moderatedensity parity-check (QC-MDPC) code-based cryptography to mitigate timing attacks at CHES 2016.
Bo-Yeon Sim +5 more
doaj +1 more source
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
openaire +5 more sources
Sensors, 2023 The traditional LDPC encoding and decoding system is characterized by low throughput and high resource consumption, making it unsuitable for use in cost-efficient, energy-saving sensor networks.
Yuxuan Sun +5 more
doaj +1 more source
A construction of the high-rate regular quasi-cyclic LDPC codes
EURASIP Journal on Wireless Communications and Networking, 2019 In this paper, a scheme to construct the high-rate regular quasi-cyclic low-density parity-check (QC-LDPC) codes is developed based on the finite geometry low-density parity-check (LDPC) codes.
Qi Meng +3 more
doaj +1 more source
Applied quasi-cyclic LDPC codes from doubly-extended RS code and cyclic MDS code
Tongxin xuebao, 2008 Based on doubly-extended RS codes and cyclic MDS codes,two construction schemes were proposed for ap-plied quasi-cyclic LDPC codes whose Tanner graph is free of 4-cycles.In the first approach,all the nonzero codewords within a doubly-extended RS code ...
ZHANG Guo-hua, WANG Xin-mei
doaj +2 more sources
Constructing Grith Eight GC-LDPC Codes Based on the GCD FLRM Matrix with a New Lower Bound
Sensors, 2022 By connecting multiple short, local low-density parity-check (LDPC) codes with a global parity check, the globally coupled (GC) LDPC code can attain high performances with low complexities.
Kun Zhu, Hongwen Yang
doaj +1 more source
The BER Performance of the LDPC-Coded MPPM over Turbulence UWOC Channels
Photonics, 2022 Turbulence-induced fading is a critical performance degrading factor for underwater wireless optical communication (UWOC) systems. In this paper, we propose a quasi-cyclic (QC) low-density parity-check (LDPC) code with multiple-pulse-position modulation (
Hongyan Jiang +4 more
doaj +1 more source
Structure and performance of generalized quasi-cyclic codes [PDF]
Finite Fields and Their Applications, 2017 Generalized quasi-cyclic (GQC) codes form a natural generalization of quasi-cyclic (QC) codes. They are viewed here as mixed alphabet codes over a family of ring alphabets. Decomposing these rings into local rings by the Chinese Remainder Theorem yields a decomposition of GQC codes into a sum of concatenated codes.
Cem Güneri +5 more
openaire +5 more sources
On complementary-dual quasi-cyclic codes
Finite Fields and Their Applications, 2009 A linear code with a complementary dual (an LCD code) is a linear code \(C\) whose dual \(C^ \perp\) satisfies \(C\cap C^ \perp= \{0\}\). Necessary and sufficient conditions for a cyclic code be an LCD code were given by \textit{X. Yang} and \textit{J. L. Massey} [Discrete Math. 126, No. 1--3, 391--393 (1994; Zbl 0790.94022)].
Morteza Esmaeili, S. Yari
openaire +1 more source