Cryptology ePrint Archive: Report 2008/298

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

Ryou Fujita and Kohtaro Tadaki and Shigeo Tsujii

Abstract: 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 is 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.

Category / Keywords: public-key cryptography / public key cryptosystem, multivariate polynomial, multivariate public key cryptosystem, piece in hand concept, perturbation vector

Date: received 4 Jul 2008

Contact author: tsujii at iisec ac jp

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Version: 20080704:083242 (All versions of this report)

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