Presentation 2015-09-04
Proposal of Multivariate Public Key Cryptosystem based on numerous prime numbers and Chinese Remainder Theorem
Shigeo Tsujii, Ryo Fujita, Masahito Gotaishi,
PDF Download Page PDF download Page Link
Abstract(in Japanese) (See Japanese page)
Abstract(in English) The studies of Multivariate Public Key Cryptosystem (MPKC) have been originated in Matsumoto-Imai cryptosystem and Tsujii triangular system in 1980s. Since the vulnerability of RSA and also Elliptic Curve Cryptosystem against quantum computers was shown in 1994, although a lot of studies in the eld of MPKC have been made extensively, it seems that reliable and practical MPKC has not been proposed yet. Considering this situation, authors have previously proposed MPKC relying on the difficulty of factoring large integers, which is not quantum proof. In this paper a quantum proof MPKC is proposed based on the difficulty of exhaustive search for combinations of numerous prime numbers and has security equivalent to random full rank quadratic polynomials.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) MPKC / Quantum Proof / Prime Numbers / Chinese Remainder Theorem
Paper # ISEC2015-30
Date of Issue 2015-08-28 (ISEC)

Conference Information
Committee ISEC
Conference Date 2015/9/4(1days)
Place (in Japanese) (See Japanese page)
Place (in English) Kikai-Shinko-Kaikan Bldg.
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Yukiyasu Tsunoo(NEC)
Vice Chair Masahiro Mambo(Kanazawa Univ.) / Kazuto Ogawa(NHK)
Secretary Masahiro Mambo(AIST) / Kazuto Ogawa(Toshiba)
Assistant Tetsuya Izu(Fujitsu Lab.) / Takaaki Mizuki(Tohoku Univ.) / Noritaka Yamashita(NEC)

Paper Information
Registration To Technical Committee on Information Security
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Proposal of Multivariate Public Key Cryptosystem based on numerous prime numbers and Chinese Remainder Theorem
Sub Title (in English) For quantum proof MPKC
Keyword(1) MPKC
Keyword(2) Quantum Proof
Keyword(3) Prime Numbers
Keyword(4) Chinese Remainder Theorem
Keyword(5)
1st Author's Name Shigeo Tsujii
1st Author's Affiliation Chuo University(Chuo Univ.)
2nd Author's Name Ryo Fujita
2nd Author's Affiliation Chuo University(Chuo Univ.)
3rd Author's Name Masahito Gotaishi
3rd Author's Affiliation Chuo University(Chuo Univ.)
Date 2015-09-04
Paper # ISEC2015-30
Volume (vol) vol.115
Number (no) ISEC-215
Page pp.pp.35-41(ISEC),
#Pages 7
Date of Issue 2015-08-28 (ISEC)