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Dynamic Tensile Strength of Concrete: A Review of Mechanisms, Test Results, and Applications for Dam Safety. [PDF]
Barbosa Dos Santos A +3 more
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Quasi-cyclic and generalized quasi-cyclic codes and uniqueness of their generators
Discrete Mathematics, Algorithms and Applications, 2022In this paper, we use a novel approach to describe generator polynomials of quasi-cyclic (QC) and generalized QC (GQC) codes over finite fields. Our study of QC- and GQC-codes will be general and not only restricted to one-generator codes.
T. Abualrub, P. Seneviratne
semanticscholar +2 more sources
Symplectic Self-Orthogonal Quasi-Cyclic Codes
In this paper, we establish the necessary and sufficient conditions for quasi-cyclic (QC) codes with index even to be symplectic self-orthogonal. Subsequently, we present the lower and upper bounds on the minimum symplectic distances of a class of 1 ...
Chaofeng Guan, Ruihu Li, Zhi Ma
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We study quasi-cyclic codes of index 2 over finite fields. We give a classification of such codes. Their duals with respect to the Euclidean, symplectic and Hermitian inner products are investigated. We describe self-orthogonal and dual-containing codes.
K. Abdukhalikov +2 more
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Asymptotically good quasi-cyclic codes of fractional index
Discrete Mathematics, 2018Jiafu Mi, Xiwang Cao
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On construction of quantum codes with dual-containing quasi-cyclic codes
Quantum Information Processing, 2022One 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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An Explicit Construction of Quantum Stabilizer Codes From Quasi-Cyclic Codes
IEEE Communications Letters, 2020In this short letter, our main objective is to construct good quantum stabilizer codes over small fields, which have a more potential possibility to be employed in actual quantum processors.
Jingjie Lv, Ruihu Li, Junli Wang
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