Public-key cryptosystem based on invariants of diagonalizable groups
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...
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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.1507.07848 |