The Discrete Logarithm Problem Over Prime Fields: The Safe Prime Case. The Smart Attack, Non-Canonical Lifts and Logarithmic Derivatives

Gadiyar Hejmadi Gopalakrishna; Padma Ramanathan

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The Discrete Logarithm Problem Over Prime Fields: The Safe Prime Case. The Smart Attack, Non-Canonical Lifts and Logarithmic Derivatives

机译：Prime字段上的离散对数问题：安全的Prime案例。智能攻击，非典型升降机和对数衍生物

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摘要

We connect the discrete logarithm problem over prime fields in the safe prime case to the logarithmic derivative.

机译：我们将离散对数问题在Safe Prime Case中的Prime字段中连接到对数衍生物。

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来源
《Czechoslovak Mathematical Journal》 |2018年第4期|共10页
作者
Gadiyar Hejmadi Gopalakrishna; Padma Ramanathan;
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作者单位

Vellore Inst Technol Dept Math Sch Adv Sci Near Katpadi Rd Vellore 632014 Tamil Nadu India;

Vellore Inst Technol Dept Math Sch Adv Sci Near Katpadi Rd Vellore 632014 Tamil Nadu India;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
discrete logarithm; Hensel lift; group extension;

机译：离散对数;Hensel Lift;集团延伸;

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专利

1. The Discrete Logarithm Problem Over Prime Fields: The Safe Prime Case. The Smart Attack, Non-Canonical Lifts and Logarithmic Derivatives [J] . Gadiyar Hejmadi Gopalakrishna, Padma Ramanathan Czechoslovak Mathematical Journal . 2018,第4期

机译：Prime字段上的离散对数问题：安全的Prime案例。智能攻击，非典型升降机和对数衍生物
2. On the cubic sieve method for computing discrete logarithms over prime fields [J] . ABHIJIT DAS, C. E. VENI MADHAVAN International journal of computer mathematics . 2005,第12期

机译：关于素数场上离散对数的三次筛法
3. On the discrete logarithm problem for prime-field elliptic curves [J] . Amadori Alessandro, Pintore Federico, Sala Massimiliano Finite fields and their applications . 2018,第MAY期

机译：素场椭圆曲线的离散对数问题
4. Algebraic Approaches for the Elliptic Curve Discrete Logarithm Problem over Prime Fields [C] . Christophe Petit, Michiel Kosters, Ange Messeng International conference on practice and theory in public key cryptography . 2016

机译：素数场上椭圆曲线离散对数问题的代数方法
5. Lifting properties of prime geodesics on hyperbolic surfaces [D] . Brown, Darin Christopher 2004

机译：初等测地线在双曲面上的提升特性
6. Natural Logarithms of Small Prime Numbers [O] . 1944

机译：小质数的自然对数
7. The discrete logarithm problem over prime fields: the safe prime case. The Smart attack, non-canonical lifts and logarithmic derivatives [O] . Gadiyar, H. Gopalakrishna, Padma, R. 2017

机译：素数场上的离散对数问题：安全素数情形。智能攻击，非规范升力和对数导数

The Discrete Logarithm Problem Over Prime Fields: The Safe Prime Case. The Smart Attack, Non-Canonical Lifts and Logarithmic Derivatives

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