Public-key cryptosystem based on invariants of diagonalizable groups

July 28, 2015 Β· Declared Dead Β· πŸ› Groups Complex. Cryptol.

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Authors Frantisek Marko, Alexandr N. Zubkov, Martin Juras arXiv ID 1507.07848 Category cs.CR: Cryptography & Security Citations 2 Venue Groups Complex. Cryptol. Last Checked 4 months ago
Abstract
We develop a public key cryptosystem based on invariants of diagonalizable groups and investigate properties of such 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 Euclidean algorithm).
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