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.
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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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Harada, M., Holzmann, W., Kharaghani, H. et al. Extremal Ternary Self-Dual Codes Constructed from Negacirculant Matrices. Graphs and Combinatorics 23, 401–417 (2007). https://doi.org/10.1007/s00373-007-0731-2
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DOI: https://doi.org/10.1007/s00373-007-0731-2