Classification of Extremal Double Circulant Formally Self-Dual Even Codes |
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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, Christhchurch, New Zealand;(2) Department of Mathematics, Okayama University, Okayama, 700, Japan |
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| Abstract: | Formally self-dual even codes have recently been studied. Double circulant even codes are a family of such codes and almost all known extremal formally self-dual even codes are of this form. In this paper, we classify all extremal double circulant formally self-dual even codes which are not self-dual. We also investigate the existence of near-extremal formally self-dual even codes. |
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| Keywords: | Extremal codes formally self-dual codes double circulant codes |
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