Efficient algorithms for the gcd and cubic residuosity in the ring of Eisenstein integers

Author:

Damgård Ivan Bjerre,Frandsen Gudmund Skovbjerg

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference23 articles.

1. Binary gcd like algorithms for some complex quadratic rings;Agarwal,2004

2. Algorithmic number theory;Bach,1996

3. A fast Euclidean algorithm for Gaussian integers;Collins;J. Symbolic Comput.,2002

4. Efficient algorithms for gcd and cubic residuosity in the ring of Eisenstein integers;Damgård,2003

5. An extended quadratic Frobenius primality test with average and worst case error estimates;Damgård,2003

Cited by 12 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. Subgroup membership testing on elliptic curves via the Tate pairing;Journal of Cryptographic Engineering;2022-09-02

2. The Eleventh Power Residue Symbol;Journal of Mathematical Cryptology;2020-11-17

3. A refinement of Müller's cube root algorithm;Finite Fields and Their Applications;2020-10

4. New number-theoretic cryptographic primitives;Journal of Mathematical Cryptology;2020-08-01

5. TRACE EXPRESSION OF r-TH ROOT OVER FINITE FIELD;J KOREAN MATH SOC;2020

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3