Results 21 to 30 of about 22,216 (258)
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 +4 more
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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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On quasi-cyclic codes and traces of codes
Lietuvos Matematikos Rinkinys, 2004 There is not abstract.
Gintaras Skersys
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Decomposing Quasi-Cyclic Codes
Electronic Notes in Discrete Mathematics, 2001 Abstract A new algebraic approach to quasi-cyclic codes is introduced. Technical tools include the Chinese Remainder Theorem, the Discrete Fourier Transform, Chain rings. The main results are a characterization of self-dual quasi-cyclic codes, a trace representation that generalizes that of cyclic codes, and an interpretation of the squaring and ...
Ling, S., Solé, P.
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Finite Fields and Their Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tong, Hongxi, Ding, Yang
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BMC Musculoskeletal Disorders, 2022 Background Intraoperative proximal femoral fractures (IPFF) are relevant complications during total hip arthroplasty. Fixation using cerclage wires (CW) represents a minimally-invasive technique to address these fractures through the same surgical ...
Toni Wendler +5 more
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Quasi-Cyclic LDPC Codes of Column-Weight Two Using a Search Algorithm
EURASIP Journal on Advances in Signal Processing, 2007 This article introduces a search algorithm for constructing quasi-cyclic LDPC codes of column-weight two. To obtain a submatrix structure, rows are divided into groups of equal sizes.
Michael Liebelt, Gabofetswe Malema
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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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Quasi-cyclic constructions of quantum codes
Finite Fields and Their Applications, 2018 We give sufficient conditions for self-orthogonality with respect to symplectic, Euclidean and Hermitian inner products of a wide family of quasi-cyclic codes of index two. We provide lower bounds for the symplectic weight and the minimum distance of the involved codes.
Carlos Galindo +2 more
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Quantum Quasi-Cyclic LDPC Codes [PDF]
2007 IEEE International Symposium on Information Theory, 2007 In this paper, a construction of a pair of "regular" quasi-cyclic LDPC codes as ingredient codes for a quantum error-correcting code is proposed. That is, we find quantum regular LDPC codes with various weight distributions. Furthermore our proposed codes have lots of variations for length, code rate. These codes are obtained by a descrete mathematical
Hagiwara, Manabu, Imai, Hideki
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