Nonlinear Piece In Hand Perturbation Vector Method for Enhancing Security of Multivariate Public Key Cryptosystems

Authors:
Ryou Fujita;Kohtaro Tadaki;Shigeo Tsujii
Affiliations:
Institute of Information Security, Japan 221---0835;Research and Development Initiative, Chuo University, Tokyo, Japan 112---8551;Institute of Information Security, Japan 221---0835
Venue:
PQCrypto '08 Proceedings of the 2nd International Workshop on Post-Quantum Cryptography
Year:
2008

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Abstract

The piece in hand (PH) is a general scheme which is applicable to any reasonable type of multivariate public key cryptosystems for the purpose of enhancing their security. In this paper, we propose a new class PH method called NLPHPV (NonLinear Piece in Hand Perturbation Vector) method. Although our NLPHPV uses similar perturbation vectors as are used for the previously known internal perturbation method, this new method can avoid redundant repetitions in decryption process. With properly chosen parameter sizes, NLPHPV achieves an observable gain in security from the original multivariate public key cryptosystem. We demonstrate these by both theoretical analyses and computer simulations against major known attacks and provides the concrete sizes of security parameters, with which we even expect the grater security against potential quantum attacks.