Results 11 to 20 of about 1,960 (155)

On Quasi-Cyclic Codes of Index 3 [PDF]

Entropy
Quasi-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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On Gray Images of Cyclic and Self-Orthogonal Codes over ${\mathbb{F}}_q+u{\mathbb{F}}_q+v{\mathbb{F}}_q$ [PDF]

Entropy
Let 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 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 code rates, minimum distance that grows linearly with block length, and capacity approaching ...
Mitchell, David G.M., Smarandache, Roxana, Lentmaier, Michael, Costello Jr., Daniel J.   +3 more
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Quasi-cyclic complementary dual codes

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.
Güneri, Cem, Özkaya, Buket, Sole, Patrick   +2 more
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On the concatenated structure of quasi-cyclic codes

Lietuvos Matematikos Rinkinys, 2003
There is not abstract,
Gintaras Skersys
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Fast computation of cyclic convolutions and their applications in code-based asymmetric encryption schemes

Моделирование и анализ информационных систем, 2023
The development of fast algorithms for key generation, encryption and decryption not only increases the efficiency of related operations. Such fast algorithms, for example, for asymmetric cryptosystems on quasi-cyclic codes, make it possible to ...
Andrey N. Sushko, Boris Y. Steinberg, Kirill V. Vedenev, Anton A. Glukhikh, Yury V. Kosolapov   +4 more
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New Quasi-Cyclic Codes From Simplex Codes [PDF]

IEEE Transactions on Information Theory, 2007
3 ...
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Algebraic Quasi Cyclic Codes [PDF]

, 2017
في هذا الفصل، تتم مناقشة الرموز المزدوجة والثنائية ثنائية الدوران بناءً على الأعداد الأولية. العديد من الرموز المزدوجة الدوران مزدوجة ذاتيًا. تشكل الرموز الثنائية المزدوجة فئة مهمة من الرموز بسبب قدراتها القوية على تصحيح الأخطاء وبنيتها الرياضية الغنية. تمكن هذه البنية من تحديد توزيع الوزن الكامل للرمز.
Martin Tomlinson, Cen Jung Tjhai, Marcel Ambroze, Mohammed Ahmed, Mubarak Jibril   +4 more
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New quasi-cyclic codes over 5

Applied Mathematics Letters, 2002
AbstractOne of the most important problems of coding theory is to construct codes with best possible minimum distances. In this paper, we use the algebraic structure of quasi-cyclic codes and the BCH type bound on the minimum distance to search for quasicyclic codes over F5, the finite field with five elements, which improve the minimum distances of ...
Siap, I, Aydin, N
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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, Franco Chiaraluce, Marco Baldi, Michele Pacenti, David G. M. Mitchell   +4 more
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