M. M. Glukhov, “On application of class groups of ideals of quadratic fields to the construction of public key cryptosystems”, Mat. Vopr. Kriptogr., 2010, Volume 1, Issue 1,Pages <nobr>23

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On application of class groups of ideals of quadratic fields to the construction of public key cryptosystems

M. M. Glukhov

Academy of Cryptography of Russian Federation, Moscow

Abstract: The paper contains a brief survey on cryptosystems based on imaginary and real quadratic fields.

Key words: quadratic field, ring of integer numbers of quadratic fields, class group, algorithmic reduction of ideals, key exchange system, discrete logarithm problem.

UDC: 511.622

Received 22.IV.2010

DOI: 10.4213/mvk3