Sequences of binary irreducible polynomials

被引：4
|
作者：
Ugolini, S. [1 ]
机构：
[1] Via Indentro,32, I-37127 Verona, Italy
来源：
DISCRETE MATHEMATICS | 2013年 / 313卷 / 22期
关键词：
Finite fields; Irreducible polynomials; Self-reciprocal polynomials;
D O I：
10.1016/j.disc.2013.08.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we construct an infinite sequence of binary irreducible polynomials starting from any irreducible polynomial f(0) is an element of F-2[X]. If f(0) is of degree n = 2(l). m, where m is odd and l is a nonnegative integer, after an initial finite sequence of polynomials f(0), f(1), . . . , f(s), with s <= l + 3, the degree of f(i+1) is twice the degree of f(i) for any i >= s. (C) 2013 Elsevier B.V. All rights reserved.
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页码：2656 / 2662
页数：7
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