Results 11 to 20 of about 56,593 (280)
Structure and performance of generalized quasi-cyclic codes [PDF]
Finite Fields and Their Applications, 2017 Generalized quasi-cyclic (GQC) codes form a natural generalization of quasi-cyclic (QC) codes. They are viewed here as mixed alphabet codes over a family of ring alphabets.
Cem Güneri +5 more
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Discrete Applied Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patrick Sole
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On the additive cyclic structure of quasi-cyclic codes [PDF]
Discrete Mathematics, 2018 An index l , length m l quasi-cyclic code can be viewed as a cyclic code of length m over the field F q l via a basis of the extension F q l ∕ F q . However, this cyclic code is only linear over F q , making it an additive cyclic code, or an F q -linear ...
Cem Güneri, Funda Özdemir, P. Solé
semanticscholar +5 more sources
Finite Fields and Their Applications, 2018 A linear code with a complementary dual (an LCD code) is a linear code \(C\) whose dual \(C^ \perp\) satisfies \(C\cap C^ \perp= \{0\}\). Necessary and sufficient conditions for a cyclic code be an LCD code were given by \textit{X. Yang} and \textit{J. L. Massey} [Discrete Math. 126, No. 1--3, 391--393 (1994; Zbl 0790.94022)].
Anuradha Sharma, T. Kaur
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Efficient One-Time Signatures from Quasi-Cyclic Codes: A Full Treatment
Cryptography, 2018 The design of a practical code-based signature scheme is an open problem in post-quantum cryptography. This paper is the full version of a work appeared at SIN’18 as a short paper, which introduced a simple and efficient one-time secure signature ...
Edoardo Persichetti
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New Quasi-Cyclic Codes From Simplex Codes [PDF]
IEEE Transactions on Information Theory, 2007 3 ...
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A SPECIAL CLASS OF QUASI-CYCLIC CODES
Bulletin of the Australian Mathematical Society, 2017 We study a special class of quasi-cyclic codes, obtained from a cyclic code over an extension field of the alphabet field by taking its image on a basis. When the basis is equal to its dual, the dual code admits the same construction.
Minjia Shi +4 more
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On the hull and complementarity of one generator quasi-cyclic codes and four-circulant codes [PDF]
Journal of Algebra and its Applications, 2023 We study one generator quasi-cyclic codes and four-circulant codes, which are also quasi-cyclic but have two generators. We state the hull dimensions for both classes of codes in terms of the polynomials in their generating elements.
Zohreh Aliabadi +2 more
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On construction of quantum codes with dual-containing quasi-cyclic codes [PDF]
Quantum Information Processing, 2022 One of the main objectives of quantum error-correction theory is to construct quantum codes with optimal parameters and properties. In this paper, we propose a class of 2-generator quasi-cyclic codes and study their applications in the construction of ...
Chaofeng Guan +4 more
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Self-dual 2-quasi-cyclic Codes and Dihedral Codes [PDF]
Finite Fields Their Appl., 2022 We characterize the structure of 2-quasi-cyclic codes over a finite field F by the so-called Goursat Lemma. With the characterization, we exhibit a necessary and sufficient condition for a 2-quasi-cyclic code being a dihedral code.
Yun Fan, Yuchang Zhang
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