Presentation 2017-09-04
New Public Key Encryption Scheme based on Code and Multivariate Polynomials in Binary Field
Tomoyuki Okubo, Bagus Santoso,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In this paper, we try to combine the code-based public key encryption scheme, McEliece public key encryption scheme, and multivariate polynomials based public key encryption scheme, SRP, which is proposed in Yasuda et al. in ICICS 2015. Since McEliece scheme is originally proposed in binary extension field, all operations in the scheme can be expressed in simple bitwise operations, and the decoding is relatively fast. However, the keys are very large. On the other hand, SRP scheme has smaller keys but the decoding is very slow. We combine the two schemes into a new encryption scheme by transforming the base field of SRP into binary field and replacing the part which becomes bottleneck for decoding in SRP scheme with a modified McEliece scheme. According to our calculation on the security parameters, our new scheme has smaller keys compared to McEliece without reducing the original level of security. Furthermore, according to our machine experiment, our new scheme has a faster decoding compared to SRP.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Code-based cryptosystem / Multivariate cryptosystem / Binary field / Post-quantum cryptosystem / McEliece / Rainbow
Paper # ISEC2017-45
Date of Issue 2017-08-28 (ISEC)

Conference Information
Committee ISEC
Conference Date 2017/9/4(1days)
Place (in Japanese) (See Japanese page)
Place (in English) Kikai-Shinko-Kaikan Bldg.
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Kazuto Ogawa(NHK)
Vice Chair Atsushi Fujioka(Kanagawa Univ.) / Shiho Moriai(NICT)
Secretary Atsushi Fujioka(Tohoku Univ.) / Shiho Moriai(Tokai Univ.)
Assistant Keita Emura(NICT) / Yuichi Komano(TOSHIBA) / Yuuji Suga(IIJ)

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) New Public Key Encryption Scheme based on Code and Multivariate Polynomials in Binary Field
Sub Title (in English)
Keyword(1) Code-based cryptosystem
Keyword(2) Multivariate cryptosystem
Keyword(3) Binary field
Keyword(4) Post-quantum cryptosystem
Keyword(5) McEliece
Keyword(6) Rainbow
1st Author's Name Tomoyuki Okubo
1st Author's Affiliation The University of Electro-Communications(UEC)
2nd Author's Name Bagus Santoso
2nd Author's Affiliation The University of Electro-Communications(UEC)
Date 2017-09-04
Paper # ISEC2017-45
Volume (vol) vol.117
Number (no) ISEC-202
Page pp.pp.29-33(ISEC),
#Pages 5
Date of Issue 2017-08-28 (ISEC)