On multiplicative order of elements in finite fields based on cyclotomic polynomials

被引：0
|
作者：
Popovych, Roman [1 ]
机构：
[1] Lviv Polytech Natl Univ, Dept Specialized Comp Syst, Bandery Str 12, UA-79013 Lvov, Ukraine
来源：
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2020年 / 26卷 / 02期
关键词：
Finite field; Multiplicative order; Lower bound; Partition;
D O I：
10.7546/nntdm.2020.26.2.47-52
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain explicit lower bound on multiplicative orders of all elements in finite field extensions generated by a root of unity. The bound does not depend on any unknown constant. The result of Ahmadi, Shparlinski and Voloch [1] is a consequence of our main result.
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页码：47 / 52
页数：6
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