Results 21 to 30 of about 56,593 (280)
On generalized quasi-cyclic codes over Z4 [PDF]
arXiv.org, 2022 Based on good algebraic structures and practicabilities, generalized quasi-cyclic (GQC) codes play important role in coding theory. In this paper, we study some results on GQC codes over $\mathbb{Z}_4$ including the normalized generating set, the minimum
Jian Gao, Xiangrui Meng, Fangwei Fu
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New Binary Quantum Codes Constructed from Quasi-Cyclic Codes [PDF]
International Journal of Theoretical Physics, 2021 It is well known that quantum codes can be constructed by means of classical symplectic dual-containing codes. This paper considers a family of two-generator quasi-cyclic codes and derives sufficient conditions for these codes to be symplectic dual ...
Chaofeng Guan +3 more
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Asymptotically good quasi-cyclic codes of fractional index
Discrete Mathematics, 2018 Jiafu Mi, Xiwang Cao
exaly +2 more sources
Lower Bound on the Minimum Distance of Single-Generator Quasi-Twisted Codes
Mathematics, 2023 We recall a classic lower bound on the minimum Hamming distance of constacyclic codes over finite fields, analogous to the well-known BCH bound for cyclic codes.
Adel Alahmadi +2 more
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An explicit construction of quantum codes from one-generator generalized quasi-cyclic codes [PDF]
MATEC Web of Conferences, 2021 In this paper, we take advantage of a class of one-generator generalized quasi-cyclic (GQC) codes of index 2 to construct quantum error-correcting codes.
Yao Yu, Ma Yuena, Li Husheng, Lv Jingjie
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Reproducible families of codes and cryptographic applications
Journal of Mathematical Cryptology, 2021 Structured linear block codes such as cyclic, quasi-cyclic and quasi-dyadic codes have gained an increasing role in recent years both in the context of error control and in that of code-based cryptography.
Santini Paolo +2 more
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CoRR, 2020 arXiv admin note: text overlap with arXiv:1906 ...
Güneri, Cem, Ling, San, Özkaya, Buket
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Quasi-Cyclic Subcodes of Cyclic Codes [PDF]
SIAM Journal on Discrete Mathematics, 2017 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 to enumeration of certain vector subspaces in finite fields.
Jean-Claude Belfiore +2 more
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Quasi-cyclic complementary dual codes [PDF]
Finite Fields and Their Applications, 2016 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. Hermitian LCD codes are introduced to that end and their cyclic subclass is characterized.
Cem Güneri +2 more
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Constructions of symplectic LCD MDS codes from quasi-cyclic codes
Advances in Mathematics of Communications, 2022 Linear complementary dual (LCD) codes play an important role in data storage, communications systems and cryptography. In this paper, we construct some symplectic LCD codes from quasi-cyclic (QC) codes, and prove that these symplectic LCD codes with ...
Xia Huang, Jin Li, Shan Huang
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