Discrete Logarithms in Finite Fields Some Algorithms for Computing New Public Key Cryptosystem

Author(s):  
Ivan D. Trendafilov ◽  
Mariana I. Durcheva ◽  
George Venkov ◽  
Vesela Pasheva ◽  
Ralitza Kovacheva
2011 ◽  
Vol 30 (6) ◽  
pp. 1450-1452 ◽  
Author(s):  
Zheng-tao Jiang ◽  
Jing-liang Zhang ◽  
Yu-min Wang

2021 ◽  
Vol 1897 (1) ◽  
pp. 012045
Author(s):  
Karrar Taher R. Aljamaly ◽  
Ruma Kareem K. Ajeena

2017 ◽  
Vol 9 (1) ◽  
Author(s):  
František Marko ◽  
Alexandr N. Zubkov ◽  
Martin Juráš

AbstractWe develop a public-key cryptosystem based on invariants of diagonalizable groups and investigate properties of such a cryptosystem first over finite fields, then over number fields and finally over finite rings. We consider the security of these cryptosystem and show that it is necessary to restrict the set of parameters of the system to prevent various attacks (including linear algebra attacks and attacks based on the Euclidean algorithm).


1990 ◽  
Vol 21 (1) ◽  
pp. 205-215
Author(s):  
SAAD M. KALlPHA ◽  
JAFAR WADI ABDUL SADA ◽  
HUSSAIN ALI HUSSAIN

Author(s):  
Heajoung Yoo ◽  
Seokhie Hong ◽  
Sangjin Lee ◽  
Jongin Lim ◽  
Okyeon Yi ◽  
...  

2019 ◽  
Vol 61 (1-2) ◽  
pp. 431-450
Author(s):  
Maher Boudabra ◽  
Abderrahmane Nitaj

2016 ◽  
Vol 21 (3) ◽  
pp. 302-311 ◽  
Author(s):  
Houzhen Wang ◽  
Huanguo Zhang ◽  
Shaowu Mao ◽  
Wanqing Wu ◽  
Liqiang Zhang

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