Results 1 to 10 of about 4,588 (252)
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
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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.
Cem Güneri, Buket Ozkaya
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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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On the additive cyclic structure of quasi-cyclic codes [PDF]
Discrete Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cem Güneri +2 more
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A Bound on the Minimum Distance of Quasi-cyclic Codes [PDF]
SIAM Journal on Discrete Mathematics, 2012 We give a general lower bound for the minimum distance of $q$-ary quasi-cyclic codes of length $m\ell$ and index $\ell$, where $m$ is relatively prime to $q$. The bound involves the minimum distances of constituent codes of length $\ell$ as well as the minimum distances of certain cyclic codes of length $m$ which are related to the fields over which ...
Cem Güneri, Ferruh Ozbudak
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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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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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CoRR, 2020 arXiv admin note: text overlap with arXiv:1906 ...
Güneri, Cem, Ling, San, Özkaya, Buket
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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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Bias-tailored quantum LDPC codes [PDF]
Quantum, 2023 Bias-tailoring allows quantum error correction codes to exploit qubit noise asymmetry. Recently, it was shown that a modified form of the surface code, the XZZX code, exhibits considerably improved performance under biased noise.
Joschka Roffe +4 more
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