Public-key cryptosystem based on invariants of diagonalizable groups

被引：0
|
作者：
Marko F. [1 ]
Zubkov A.N. [2 ]
Juráš M. [3 ]
机构：
[1] Penn State Hazleton, 76 University Drive, Hazleton, 18202, PA
[2] Sobolev Institute of Mathematics, Siberian Branch of Russian Academy of Science (SORAN), Omsk, Pevtzova 13
[3] Savannah College of Art and Design, Department of General Education, Savannah, GA
来源：
Marko, František (fxm13@psu.edu) | 1600年 / Walter de Gruyter GmbH卷 / 09期
关键词：
Cryptosystem; diagonalizable group; invariants; number field; supergroup;
D O I：
10.1515/gcc-2017-0003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We 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). © 2017 by De Gruyter 2017.
引用
收藏
页码：31 / 54
页数：23
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