Extremal Ternary Self-Dual Codes Constructed from Negacirculant Matrices |
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| Authors: | Masaaki Harada W Holzmann H Kharaghani M Khorvash |
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| Institution: | (1) Department of Mathematical Sciences, Yamagata University, Yamagata 990–8560, Japan;(2) Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, AB, Canada, T1K 3M4 |
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| Abstract: | In this paper, a construction of ternary self-dual codes based on negacirculant matrices is given. As an application, we construct
new extremal ternary self-dual codes of lengths 32, 40, 44, 52 and 56. Our approach regenerates all the known extremal self-dual
codes of lengths 36, 48, 52 and 64. New extremal ternary quasi-twisted self-dual codes are also constructed.
Supported by an NSERC discovery grant and a RTI grant.
Supported by an NSERC discovery grant and a RTI grant.
A summer student Chinook Scholarship is greatly appreciated. |
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| Keywords: | Ternary self-dual code Extremal code Negacirculant matrix |
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