2013年1月1日
Upper bounds on cyclotomic numbers
Linear Algebra and Its Applications
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- ,
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- 巻
- 438
- 号
- 1
- 開始ページ
- 111
- 終了ページ
- 120
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.laa.2012.06.045
In this article, we give upper bounds for cyclotomic numbers of order e over a finite field with q elements, where e is a positive divisor of q - 1. In particular, we show that under certain assumptions, cyclotomic numbers are at most ⌈k2⌉, and the cyclotomic number (0, 0) is at most ⌈k2⌉-1, where k=(q-1)/e. These results are obtained by using a known formula for the determinant of a matrix whose entries are binomial coefficients. © 2012 Elsevier Inc. All rights reserved.
- リンク情報
- ID情報
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- DOI : 10.1016/j.laa.2012.06.045
- ISSN : 0024-3795
- SCOPUS ID : 84869090818