A New Class of Multivariate Public Key Cryptosystem Constructed on the Basis of Message-Dependent Transformation

Masao KASAHARA

Paper 2011/690

A New Class of Multivariate Public Key Cryptosystem Constructed on the Basis of Message-Dependent Transformation

Masao KASAHARA

Abstract

In this paper, a new class of Public-Key Cryptosystem(PKC) based on Random Simultaneous Equation of degree g(RSE(g)PKC) is presented. The proposed scheme uses a new class of trap-doors based on two classes of transformation, i.e. random transformation and message-dependent random transformation. For constructing the proposed scheme,random transformations X and Ψ are used. The transformation Ψ would yield a breakthrough to a ﬁeld of multivaliate cryptosystem in a sense that the transformation is dependent on a message. Namely it is a message-dependent transformation on the basis of random coding. We show that the proposed PKC’s, can be secure against the various excellent attacks such as the attack based on the Gr¨obner bases calculation(Gröbner bases attack, GB attack), Patarin’s attack and Braeken-Wolf-Preneel attack, due to the random transformations using new trap-doors.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Faculty of Informatics, Osaka Gakuin University, Suita-shi, 564-8511 Japan.
Contact author(s): kasahara @ ogu ac jp
History: 2011-12-23: received
Short URL: https://ia.cr/2011/690
License: CC BY

BibTeX

@misc{cryptoeprint:2011/690,
      author = {Masao KASAHARA},
      title = {A New Class of Multivariate Public Key Cryptosystem Constructed on the Basis of Message-Dependent Transformation},
      howpublished = {Cryptology {ePrint} Archive, Paper 2011/690},
      year = {2011},
      url = {https://eprint.iacr.org/2011/690}
}