Cyclotomy and its application to duadic codes |
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| Authors: | Hideki Tada Shigeto Nishimura Toyokazu Hiramatsu |
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| Affiliation: | Department of Systems and Control Engineering, College of Engineering, Hosei University, Kajino 3-7-2, Koganei, Tokyo 184-8584, Japan |
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| Abstract: | In this paper we treat cyclotomic binary duadic codes. The conjecture of Ding and Pless is that there are infinitely many cyclotomic duadic codes of prime lengths that are not quadratic residue codes. We shall prove this conjecture by using the special case of Tschebotareff's density theorem. |
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