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09/14/2021
New Extremal Binary Self-Dual Codes of Length 72 from M_6(𝔽_2)G - Group Matrix Rings by a Hybrid Search Technique Based on a Neighbourhood-Virus Optimisation Algorithm
In this paper, a new search technique based on the virus optimisation al...
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09/02/2021
Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours
In this work, we define a modification of a bordered construction for se...
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08/20/2021
New binary self-dual codes of lengths 56, 62, 78, 92 and 94 from a bordered construction
In this paper, we present a new bordered construction for self-dual code...
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08/11/2021
Group LCD and Group Reversible LCD Codes
In this paper, we give a new method for constructing LCD codes. We emplo...
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08/04/2021
Reversible G^k-Codes with Applications to DNA Codes
In this paper, we give a matrix construction method for designing DNA co...
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06/23/2021
New binary self-dual codes of lengths 80, 84 and 96 from composite matrices
In this work, we apply the idea of composite matrices arising from group...
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03/13/2021
An Application of the Virus Optimization Algorithm to the Problem of Finding Extremal Binary Self-Dual Codes
In this paper, a virus optimization algorithm, which is one of the metah...
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02/25/2021
New Singly and Doubly Even Binary [72,36,12] Self-Dual Codes from M_2(R)G – Group Matrix Rings
In this work, we present a number of generator matrices of the form [I_2...
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02/20/2021
New binary self-dual codes of lengths 56, 58, 64, 80 and 92 from a modification of the four circulant construction
In this work, we give a new technique for constructing self-dual codes o...
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01/31/2021
Group Matrix Ring Codes and Constructions of Self-Dual Codes
In this work, we study codes generated by elements that come from group ...
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01/31/2021
New Type I Binary [72, 36, 12] Self-Dual Codes from Composite Matrices and R1 Lifts
In this work, we define three composite matrices derived from group ring...
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12/22/2020
A Novel Genetic Search Scheme Based on Nature – Inspired Evolutionary Algorithms for Self-Dual Codes
In this paper, a genetic algorithm, one of the evolutionary algorithms o...
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03/09/2020
New Self-Dual Codes of length 68 from a 2 by 2 block matrix Construction and Group Rings
Many generator matrices for constructing extremal binary self-dual codes...
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02/26/2020