New constructions of optimal self-dual binary codes of length 54 |
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| Authors: | Stefka Bouyuklieva Patric R J Östergård |
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| Institution: | (1) Department of Mathematics and Informatics, Veliko Tarnovo University, 5000 Veliko Tarnovo, Bulgaria;(2) Department of Electrical and Communications Engineering, Helsinki University of Technology, P.O. Box 3000, 02015 TKK Helsinki, Finland |
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| Abstract: | The quaternary Hermitian self-dual 18,9,6]4 codes are classified and used to construct new binary self-dual 54,27,10]2 codes. All self-dual 54,27,10]2 codes obtained have automorphisms of order 3, and six of their weight enumerators have not been previously encountered.
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| Keywords: | Automorphisms Cubic codes Hermitian codes Self-dual codes |
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