Paper 2008/298 Original: eprint.iacr.org/2008/298 ↗

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

Ryou Fujita
Kohtaro Tadaki
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.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2008-07-04: last updated
2008-07-04: published
Short URL
https://ia.cr/2008/298
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2008/298,
      author = {Ryou Fujita and Kohtaro Tadaki and Shigeo Tsujii},
      title = {Nonlinear Piece In Hand Perturbation Vector Method for Enhancing Security of Multivariate Public Key Cryptosystems},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/298},
      year = {2008},
      url = {https://eprint.iacr.org/2008/298}
}
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