Results 11 to 20 of about 236,875 (314)
On Linear Complementary Pairs of Codes [PDF]
IEEE Transactions on Information Theory, 2018 We study linear complementary pairs (LCP) of codes $(C, D)$ , where both codes belong to the same algebraic code family. We especially investigate constacyclic and quasi-cyclic LCP of codes. We obtain characterizations for LCP of constacyclic codes and LCP of quasi-cyclic codes.
Claude Carlet +4 more
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Fuzzy linear codes based on nested linear codes
Fuzzy Sets and Systems, 2023 In this paper, we describe a correspondence between a fuzzy linear code and a family of nested linear codes. We also describe the arithmetic of fuzzy linear codes. As a special class of nested linear codes, we consider a family of nested self-orthogonal codes.
Jon-Lark Kim, Kim, Jon-Lark
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A Mathematical Perspective on Post-Quantum Cryptography
Mathematics, 2022 In 2016, the National Institute of Standards and Technology (NIST) announced an open competition with the goal of finding and standardizing suitable algorithms for quantum-resistant cryptography.
Maximilian Richter +3 more
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More Constructions of 3-Weight Linear Codes
Journal of Mathematics, 2021 Linear codes with few weights have become an interesting research topic and important applications of cryptography and coding theory. In this paper, we apply some ternary near-bent and 2-plateaued functions or r-ary functions to construct more 3-weight ...
Lingyong Ma, Guanjun Li, Fengyan Liu
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The minimum linear locality of linear codes
CoRR, 2021 Locally recoverable codes (LRCs) were proposed for the recovery of data in distributed and cloud storage systems about nine years ago. A lot of progress on the study of LRCs has been made by now. However, there is a lack of general theory on the minimum linear locality of linear codes.
Pan Tan +3 more
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Multi-block Two Repeated Fixed Burst Error Correcting Linear Codes
Ratio Mathematica, 2022 During the digital transmission of information, errors are bound to occur. The errors may be random or burst errors. In this paper, we have obtained necessary and sufficient conditions for the existence of linear codes over that are capable of ...
Ritu Arora +3 more
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Near-Capacity Irregular Precoded Linear Dispersion Codes [PDF]
, 2008 In this treatise, we propose a novel serial concatenated RSC-coded Irregular Precoded Linear Dispersion Codes (IR-PLDC), which is capable of operating near MIMO channel’s capacity.
Wu, N, L. Hanzo, Hanzo, L., N. Wu
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Adaptive nested trellis decoding for block codes. [PDF]
, 1994 A new adaptive trellis decoding technique for block codes is proposed. The technique is based on an encoding technique which allows the design of almost all known linear codes together with their minimal trellises.
Markarian, G. S. +5 more
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Application of optimal p-ary linear codes to alphabet-optimal locally repairable codes
, 2022 Linear codes have widespread applications in data storage systems. There are two major contributions in this paper. We first propose infinite families of optimal or distance-optimal linear codes over Fp constructed from projective spaces.Moreover, a ...
Luo, Gaojun, Ling, San
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Partial IDS decoding based on the base graph of protograph LDPC codes
IET Communications, 2023 The residual belief propagation (RBP) algorithm, which is the most classic informed dynamic scheduling strategy, achieves outstanding performance in error correction and can drastically accelerate convergence speed.
Shuo Liang, Xingcheng Liu, Suipeng Xie
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