Results 1 to 10 of about 115,850 (186)
Quasi-cyclic subcodes of cyclic codes [PDF]
SIAM Journal on Discrete Mathematics, 2016 We completely characterize possible indices of quasi-cyclic subcodes in a cyclic code for a very broad class of cyclic codes. We present enumeration results for quasi-cyclic subcodes of a fixed index and show that the problem of enumeration is equivalent
Belfiore, Jean-Claude +2 more
core +8 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 +2 more sources
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
doaj +2 more sources
Quasi-Cyclic Complementary Dual Code
Finite Fields and Their Applications, 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 +5 more sources
Quasi-Cyclic Asymptotically Regular LDPC Codes [PDF]
2010 IEEE Information Theory Workshop, 2010 Families of "asymptotically regular" LDPC block code ensembles can be formed by terminating (J,K)-regular protograph-based LDPC convolutional codes. By varying the termination length, we obtain a large selection of LDPC block code ensembles with varying ...
Costello Jr, Daniel J. +3 more
core +4 more sources
Self-dual 2-quasi-cyclic Codes and Dihedral Codes [PDF]
Finite Fields and Their Applications, 2022 We characterize the structure of 2-quasi-cyclic codes over a finite field F by the so-called Goursat Lemma. With the characterization, we exhibit a necessary and sufficient condition for a 2-quasi-cyclic code being a dihedral code.
Yun Fan, Yuchang Zhang
semanticscholar +4 more sources
Symplectic Self-Orthogonal Quasi-Cyclic Codes
IEEE Transactions on Information Theory, 2022 In this paper, we establish the necessary and sufficient conditions for quasi-cyclic (QC) codes with index even to be symplectic self-orthogonal. Subsequently, we present the lower and upper bounds on the minimum symplectic distances of a class of 1 ...
Chaofeng Guan, Ruihu Li, Zhi Ma
semanticscholar +3 more sources
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
doaj +2 more sources
On Gray Images of Cyclic and Self-Orthogonal Codes over
EntropyLet p be a prime with p∉{2,5} and let q=pm. This paper studies cyclic and self-orthogonal linear codes of length n over the finite local non-Frobenius ring Rp,u,v=Fq+uFq+vFq, u2=v2=uv=vu=0.
Sami H. Saif, Alhanouf Ali Alhomaidhi
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Quasi-Cyclic Codes Via Unfolded Cyclic Codes and Their Reversibility
IEEE Access, 2019 The finite field $\mathbb {F}_{q^\ell }$ of $q^\ell $ elements contains $\mathbb {F}_{q}$ as a subfield. If $\theta \in \mathbb {F}_{q^\ell }$ is of degree $\ell $ over $\mathbb {F}_{q}$ , it can be used to unfold elements of $\mathbb {F}_{q^\
Ramy Taki Eldin, Hajime Matsui
doaj +2 more sources