On the algebraic structure of quasi-cyclic codes of index 112$1\frac {1}{2}$
Sign Up to like & getrecommendations! Published in 2020 at "Cryptography and Communications"
DOI: 10.1007/s12095-019-0352-7
Abstract: In this paper, we study quasi-cyclic codes of index 112$1\frac {1}{2}$ and co-index 2m over Fq$\mathbb {F}_{q}$ and their dual codes, where m is a positive integer, q is a power of an odd prime… read more here.
Keywords: index 112; cyclic codes; quasi cyclic; 112 frac ... See more keywords
Quasi-cyclic codes: algebraic properties and applications
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DOI: 10.1007/s40314-020-1120-1
Abstract: In this paper, we provide criteria for the reversibility and conjugate-reversibility of 1-generator quasi-cyclic codes. The Chinese remainder theorem is used to provide a characterization for generalized quasi-cyclic codes to be Galois linear complementary-dual and… read more here.
Keywords: algebraic properties; codes algebraic; properties applications; cyclic codes ... See more keywords
Fracture studies on narrow gap welded SA 312 Type 304LN stainless steel straight pipes under quasi-cyclic loading
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Pressure Vessels and Piping"
DOI: 10.1016/j.ijpvp.2019.05.012
Abstract: Abstract Fracture studies were carried out on narrow gap welded SA 312 Type 304LN stainless steel straight pipes having circumferential through-wall notch in the weld. Totally six specimens were tested; one specimen was subjected to… read more here.
Keywords: cyclic loading; fracture studies; quasi cyclic; narrow gap ... See more keywords
A Flexible FPGA-Based Quasi-Cyclic LDPC Decoder
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DOI: 10.1109/access.2017.2678103
Abstract: 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 has… read more here.
Keywords: ldpc decoder; ldpc; fpga based; quasi cyclic ... See more keywords
Algebra-Assisted Construction of Quasi-Cyclic LDPC Codes for 5G New Radio
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DOI: 10.1109/access.2018.2868963
Abstract: Quasi-cyclic LDPC (QC-LDPC) codes have been accepted as the standard codes of 5G enhanced mobile broadband data channel. These standard codes are designed to support multiple lifting sizes and possess rate-compatible property, which can help… read more here.
Keywords: algebra assisted; cyclic ldpc; ldpc; ldpc codes ... See more keywords
Automorphism Ensemble Decoding of Quasi-Cyclic LDPC Codes by Breaking Graph Symmetries
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DOI: 10.1109/lcomm.2022.3174164
Abstract: 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 by AED. However,… read more here.
Keywords: ldpc codes; ensemble decoding; graph; quasi cyclic ... See more keywords
Practical Encoder and Decoder for Power Constrained QC LDPC-Lattice Codes
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DOI: 10.1109/tcomm.2016.2633343
Abstract: Low density parity check (LDPC) lattices were the first family of lattices equipped with iterative decoding algorithms. We introduce quasi-cyclic LDPC (QC LDPC) lattices as a special case of LDPC lattices with one binary QC-LDPC… read more here.
Keywords: lattice codes; practical encoder; ldpc; ldpc lattices ... See more keywords
Designing Protograph-Based Quasi-Cyclic Spatially Coupled LDPC Codes With Large Girth
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DOI: 10.1109/tcomm.2020.3001029
Abstract: Spatially coupled (SC) low-density parity-check (LDPC) codes can achieve capacity approaching performance with low message recovery latency when using sliding window (SW) decoding. An SC-LDPC code constructed from a protograph can be generated by first… read more here.
Keywords: codes large; spatially coupled; quasi cyclic; ldpc codes ... See more keywords
Efficient Encryption From Random Quasi-Cyclic Codes
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DOI: 10.1109/tit.2018.2804444
Abstract: We propose a framework for constructing efficient code-based encryption schemes that do not hide any structure in their public matrix. The framework is in the spirit of the schemes first proposed by Alekhnovich in 2003… read more here.
Keywords: tex math; encryption; quasi cyclic; inline formula ... See more keywords
ℤ₂ℤ₄-Additive Quasi-Cyclic Codes
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2021.3111858
Abstract: We study the codes of the title by the CRT method, that decomposes such codes into constituent codes, which are shorter codes over larger alphabets. Criteria on these constituent codes for self-duality and linear complementary… read more here.
Keywords: cyclic codes; additive quasi; quasi cyclic;
Constructions of cyclic and quasi-cyclic Grassmannian codes
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Latin America Transactions"
DOI: 10.1109/tla.2019.8931207
Abstract: In this paper we construct, using GAP System for Computational Discrete Algebra and Wolfram Mathematica, some cyclic subspace codes, specially an optimal code over the finite field F210 . Further we introduce the q-analogous of… read more here.
Keywords: grassmannian codes; cyclic grassmannian; constructions cyclic; quasi cyclic ... See more keywords