On the Bounds of the Bilinear Complexity of Multiplication in Some Finite Fields
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory
Link
http://link.springer.com/content/pdf/10.1007/s00200-004-0155-7.pdf
Reference11 articles.
1. Ballet, S.: Curves with Many Points and Multiplication Complexity in Any Extension of Finite Fields and Their Appl. 5, 364?377 (1999)
2. Ballet, S.: Low Increasing Tower of Algebraic Function Fields and Bilinear Complexity of Multiplication in Any Extension of Finite Fields and Their Appl. 9, 472?478 (2003)
3. Ballet, S., Le Brigand, D.: On the existence of non-special divisors of degree g and g-1 in algebraic function fields over Preprint
4. Ballet, S., Rolland, R.: Multiplication Algorithm in a Finite Field and Tensor Rank of the Multiplication. J. Alg. 272(1), 173?185 (2004)
5. De Groote, H.F.: Characterization of Division Algebras of Minimal Rank and the Structure of their Algorithm Varieties. SIAM J. Comp. 12(1), 101?117 (1983)
Cited by 9 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. On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry;Russian Mathematical Surveys;2021-02-01
2. On some bounds for symmetric tensor rank of multiplication in finite fields;Arithmetic, Geometry, Cryptography and Coding Theory;2017
3. On the construction of elliptic Chudnovsky-type algorithms for multiplication in large extensions of finite fields;Journal of Algebra and Its Applications;2015-09-07
4. New uniform and asymptotic upper bounds on the tensor rank of multiplication in extensions of finite fields;Mathematics of Computation;2015-01-16
5. Shimura Modular Curves and Asymptotic Symmetric Tensor Rank of Multiplication in any Finite Field;Algebraic Informatics;2013
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