Sequences of irreducible polynomials over odd prime fields via elliptic curve endomorphisms

被引：2

作者：

Ugolini, S. ^{[1
]}

机构：

[1] Univ Trent, Dipartimento Matemat, I-38050 Trento, Italy

来源：

JOURNAL OF NUMBER THEORY | 2015年 / 152卷

关键词：

Irreducible polynomial iterative constructions; Finite fields; Elliptic curves;

D O I：

10.1016/j.jnt.2014.12.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Text. In this paper we present and analyze a construction of irreducible polynomials over odd prime fields via the transforms which take any polynomial f is an element of F-p[x] of positive degree n to (n/k)n . f (k(x + x(-1))), for some specific values of the odd prime p and k is an element of F-p. Video. For a video summary of this paper, please visit http://youtu.be/Lmw5m_c-i8s. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：21 / 37

页数：17

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