Classification of Extremal Double Circulant Self-Dual Codes of Lengths 64 to 72 |
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| Authors: | T Aaron Gulliver Masaaki Harada |
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| Institution: | (1) Department of Electrical and Electronic Engineering, University of Canterbury, Private Bag 4800, Christchurch, 8020, New Zealand;(2) Department of Mathematical Sciences, Yamagata University, Yamagata 990, Japan |
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| Abstract: | Recently extremal double circulant self-dual codes have been classified for lengths n ≤ 62. In this paper, a complete classification
of extremal double circulant self-dual codes of lengths 64 to 72 is presented. Almost all of the extremal double circulant
singly-even codes given have weight enumerators for which extremal codes were not previously known to exist. |
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| Keywords: | Extremal codes self-dual codes and double circulant codes |
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