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Elements of high order in finite fields of the form Fq[x]/(xm−a)

Published:2013-01 Issue:1 Volume:19 Page:86-92
ISSN:1071-5797
Container-title:Finite Fields and Their Applications
language:en
Short-container-title:Finite Fields and Their Applications

Author:

Popovych Roman

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference16 articles.

1. PRIMES is in P;Agrawal;Ann. of Math.,2004

2. Multiplicative order of Gauss periods;Ahmadi;Int. J. Number Theory,2010

3. Constructing tower extensions of finite fields for implementation of pairing-based cryprography;Benger,2010

4. Sharpening “Primes is in P” for a large family of numbers;Berrizbeitia;Math. Comp.,2005

5. Finite field elements of high order arising from modular curves;Burkhart;Des. Codes Cryptogr.,2009

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Elements of high order in finite fields specified by binomials;Carpathian Mathematical Publications;2022-06-30

2. The existence of q -primitive points on curves using freeness;Comptes Rendus. Mathématique;2022-06-22

3. High order elements in finite fields arising from recursive towers;Designs, Codes and Cryptography;2022-04-21

4. High order elements in finite fields arising from recursive towers;DESIGN CODE CRYPTOGR;2022

5. On multiplicative order of elements in finite fields based on cyclotomic polynomials;Notes on Number Theory and Discrete Mathematics;2020-07

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