Discrete Logarithms, Duality, and Arithmetic in Brauer Groups

Algebraic Geometry and Its Applications ◽

10.1142/9789812793430_0012 ◽

2008 ◽

Author(s):

Gerhard Frey

Keyword(s):

Brauer Groups ◽

Discrete Logarithms

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Reply: Public-key cryptosystem design based on factoring and discrete logarithms

IEE Proceedings - Computers and Digital Techniques ◽

10.1049/ip-cdt:19960208 ◽

1996 ◽

Vol 143 (1) ◽

pp. 96 ◽

Author(s):

L. Harn

Keyword(s):

Public Key Cryptosystem ◽

Discrete Logarithms

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Finding generators and discrete logarithms in ℤ*p

A Computational Introduction to Number Theory and Algebra ◽

10.1017/cbo9780511814549.013 ◽

2015 ◽

pp. 327-341

Author(s):

Victor Shoup

Keyword(s):

Discrete Logarithms

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Finding discrete logarithms with a set orbit distinguisher

Journal of Mathematical Cryptology ◽

10.1515/jmc-2012-0002 ◽

2012 ◽

Vol 6 (1) ◽

pp. 1-20

Author(s):

Robert P. Gallant

Keyword(s):

Discrete Logarithms

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Brauer groups and étale cohomology in derived algebraic geometry

Geometry & Topology ◽

10.2140/gt.2014.18.1149 ◽

2014 ◽

Vol 18 (2) ◽

pp. 1149-1244 ◽

Author(s):

Benjamin Antieau ◽

David Gepner

Keyword(s):

Algebraic Geometry ◽

Brauer Groups ◽

Etale Cohomology ◽

Derived Algebraic Geometry ◽

Étale Cohomology

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A note on discrete logarithms in finite fields

Applicable Algebra in Engineering Communication and Computing ◽

10.1007/bf01189026 ◽

1992 ◽

Vol 3 (1) ◽

pp. 75-78 ◽

Author(s):

G. Meletiou ◽

Gary L. Mullen

Keyword(s):

Finite Fields ◽

Discrete Logarithms

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Improving the Gaudry–Schost algorithm for multidimensional discrete logarithms

Designs Codes and Cryptography ◽

10.1007/s10623-021-00966-5 ◽

2021 ◽

Author(s):

Haoxuan Wu ◽

Jincheng Zhuang

Keyword(s):

Discrete Logarithms

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A Note on Discrete Logarithms with Special Structure

Advances in Cryptology — EUROCRYPT’ 92 - Lecture Notes in Computer Science ◽

10.1007/3-540-47555-9_38 ◽

2007 ◽

pp. 454-457 ◽

Author(s):

Rafi Heiman

Keyword(s):

Special Structure ◽

Discrete Logarithms

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Security enhancement of key authentication schemes based on discrete logarithms

Journal of Discrete Mathematical Sciences and Cryptography ◽

10.1080/09720529.2007.10698124 ◽

2007 ◽

Vol 10 (3) ◽

pp. 351-358 ◽

Author(s):

Jung-San Lee ◽

Chin-Chen Chang

Keyword(s):

Discrete Logarithms ◽

Security Enhancement ◽

Authentication Schemes

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Generic Algorithms for Computing Discrete Logarithms

Discrete Mathematics and Its Applications - Handbook of Elliptic and Hyperelliptic Curve Cryptography ◽

10.1201/9781420034981.pt5 ◽

2005 ◽

pp. 476-494 ◽

Author(s):

Roberto Avanzi

Keyword(s):

Discrete Logarithms ◽

Generic Algorithms

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A subexponential algorithm for discrete logarithms over hyperelliptic curves of large genus over GF(q)

Theoretical Computer Science ◽

10.1016/s0304-3975(99)00061-4 ◽

1999 ◽

Vol 226 (1-2) ◽

pp. 7-18 ◽

Author(s):

Leonard M. Adleman ◽

Jonathan DeMarrais ◽

Ming-Deh Huang

Keyword(s):

Hyperelliptic Curves ◽

Discrete Logarithms ◽

Subexponential Algorithm ◽

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