Presentation 2018-11-22
Identification Scheme Based on the Binary Syndrome Decoding Problem Using High Density Parity Check Codes
Haruka Ito, Masanori Hirotomo, Youji Fukuta, Masami Mohri, Yoshiaki Shiraishi,
PDF Download Page PDF download Page Link
Abstract(in Japanese) (See Japanese page)
Abstract(in English) Most of the currently used identification schemes can not be safely used if factoring factorization and discrete logarithm problem are solved efficiently.In response to such problems, many identification schemes having tolerance have been proposed.Although there is an improved scheme to reduce the key size by using the public matrix having the cyclic structure, various attack algorithms have been proposed with the cyclic structure as a weak point.In this paper, we propose an identification scheme that has tolerance and small key size and computational complexity.The key size is reduced by making the parity check matrix of the public key a matrix composed of blocks of cyclic matrices of a plurality of stages.In order to cope with existing attacks with a weak point in the cyclic structure, the cyclic structure is eliminated for the entire codeword. Furthermore, we show that the calculation matrix can be reduced by making the public matrix dense.We also evaluate the security level, key size, computational complexity and safety of the proposed scheme.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) zero knowledge proof identification / syndrome decoding problem / high density parity check codes / post quantum
Paper # ICSS2018-62
Date of Issue 2018-11-14 (ICSS)

Conference Information
Committee ICSS
Conference Date 2018/11/21(2days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Yoshiaki Shiraishi(Kobe Univ.)
Vice Chair Hiroki Takakura(NII) / Katsunari Yoshioka(Yokohama National Univ.)
Secretary Hiroki Takakura(NTT) / Katsunari Yoshioka(NICT)
Assistant Akira Yamada(KDDI labs.) / Keisuke Kito(Mitsubishi Electric)

Paper Information
Registration To Technical Committee on Information and Communication System Security
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Identification Scheme Based on the Binary Syndrome Decoding Problem Using High Density Parity Check Codes
Sub Title (in English)
Keyword(1) zero knowledge proof identification
Keyword(2) syndrome decoding problem
Keyword(3) high density parity check codes
Keyword(4) post quantum
1st Author's Name Haruka Ito
1st Author's Affiliation Saga University(Saga Univ.)
2nd Author's Name Masanori Hirotomo
2nd Author's Affiliation Saga University(Saga Univ.)
3rd Author's Name Youji Fukuta
3rd Author's Affiliation Kindai University(Kindai Univ.)
4th Author's Name Masami Mohri
4th Author's Affiliation Gifu University(Gifu Univ.)
5th Author's Name Yoshiaki Shiraishi
5th Author's Affiliation Kobe University(Kobe Univ.)
Date 2018-11-22
Paper # ICSS2018-62
Volume (vol) vol.118
Number (no) ICSS-315
Page pp.pp.49-54(ICSS),
#Pages 6
Date of Issue 2018-11-14 (ICSS)