Long Binary Narrow-Sense BCH Codes Are Normal |
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| Authors: | Iiro Honkala Yrj? Kaipainen and Aimo Tiet?v?inen |
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| Affiliation: | (1) Department of Mathematics, University of Turku, SU-20500 Turku 50, Finland, FI |
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| Abstract: | Let C be the binary narrow-sense BCH code of length where m is the order of 2 modulo n. Using characters of finite fields and a theorem of Weil, and results of Vladut-Skorobogatov and Lang-Weil we prove that
the code C is normal in the non-primitive case if and in the primitive case if where the constant depends only on t.
Received January 4, 1994 |
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| Keywords: | :Code BCH code Covering radius Finite fields Character sum |
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