Presentation 2023-07-24
Key Generation by Secure Computation of ID-NIKS based on Discrete Logarithm Problem over Composite Modulus
Hayato Inoue, Mizuki Miki, Yasuyuki Murakami,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In 1990, Murakami and Kasahara proposed an ID based non-interactive key-sharing scheme (MK scheme) that uses the discrete logarithm problem with composite number as the modulus. This is a key-sharing scheme that eliminates the need for preliminary communication. Unfortunately, the MK scheme could not be realized due to insufficient computer performance at the time. In SITA2022, Miki et al. proposed a scheme in which the prime factors of p − 1 and q − 1 are B-smooth, and showed that the MK secret key can actually be obtained. In this research, we propose a method to securely compute the private key of the MK scheme based on the discrete logarithm problem over a composite number of B-smooth order by using secure computation.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) MK ID-NIKS / Discrete logarithm problem / Secure computation / Parallel computation / Diffie-Hellman key ex- change / RSA encryption
Paper # ISEC2023-21,SITE2023-15,BioX2023-24,HWS2023-21,ICSS2023-18,EMM2023-21
Date of Issue 2023-07-17 (ISEC, SITE, BioX, HWS, ICSS, EMM)

Conference Information
Committee EMM / BioX / ISEC / SITE / ICSS / HWS / IPSJ-CSEC / IPSJ-SPT
Conference Date 2023/7/24(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Hokkaido Jichiro Kaikan
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Michiharu Niimi(Kyushu Inst. of Tech.) / hironobu Takano(Toyama Prefectural Univ.) / Goichiro Hanaoka(AIST) / Takushi Otani(Kibi International Univ.) / Daisuke Inoue(NICT) / Daisuke Suzuki(Mitsubishi Electric)
Vice Chair Kotaro Sonoda(Nagasaki Univ.) / Hyunho Kang(NIT, Tokyo) / Norihiro Okui(KDDI Research) / Emiko Sano(Kubota) / Junji Shikata(Yokohama National Univ.) / Shinsaku Kiyomoto(KDDI Research) / Soichiro Morishita(Cyber Agent) / Takeo Tatsumi(Open Univ. of Japan) / Akira Yamada(Kobe Univ.) / Toshihiro Yamauchi(Okayama Univ.) / Yuichi Hayashi(NAIST) / Toru Akishita(Sony Semiconductor Solutions)
Secretary Kotaro Sonoda(Hiroshima City Univ.) / Hyunho Kang(Osaka Inst. of Tech.) / Norihiro Okui(NEC) / Emiko Sano(Gunma Univ) / Junji Shikata(AIST) / Shinsaku Kiyomoto(Toshiba) / Soichiro Morishita(NRI-Secure) / Takeo Tatsumi(Fukuoka Inst. of Tech.) / Akira Yamada(Mitsubishi Electric) / Toshihiro Yamauchi(Univ. of Electro-Comm.) / Yuichi Hayashi(Sony Semiconductor Solutions) / Toru Akishita(AIST)
Assistant Naofumi Aoki(Hokkaido Univ.) / Kazuaki Nakamura(Tokyo Univ. of Science) / Tomokazu Kawahara(Toshiba) / Shinichi Shirakawa(Yokohama National Univ.) / Hiroki Okada(KDDI Research) / Yusuke Kaneko(Japan Research Institute) / Yo Kanemoto(NTT) / Masaya Sato(Okayama Prefectural Univ.)

Paper Information
Registration To Technical Committee on Enriched MultiMedia / Technical Committee on Biometrics / Technical Committee on Information Security / Technical Committee on Social Implications of Technology and Information Ethics / Technical Committee on Information and Communication System Security / Technical Committee on Hardware Security / Special Interest Group on Computer Security / Special Interest Group on Security Psychology and Trust
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Key Generation by Secure Computation of ID-NIKS based on Discrete Logarithm Problem over Composite Modulus
Sub Title (in English)
Keyword(1) MK ID-NIKS
Keyword(2) Discrete logarithm problem
Keyword(3) Secure computation
Keyword(4) Parallel computation
Keyword(5) Diffie-Hellman key ex- change
Keyword(6) RSA encryption
1st Author's Name Hayato Inoue
1st Author's Affiliation Osaka Electro-Communication University(OECU)
2nd Author's Name Mizuki Miki
2nd Author's Affiliation Osaka Electro-Communication University(OECU)
3rd Author's Name Yasuyuki Murakami
3rd Author's Affiliation Osaka Electro-Communication University(OECU)
Date 2023-07-24
Paper # ISEC2023-21,SITE2023-15,BioX2023-24,HWS2023-21,ICSS2023-18,EMM2023-21
Volume (vol) vol.123
Number (no) ISEC-129,SITE-130,BioX-131,HWS-132,ICSS-133,EMM-134
Page pp.pp.45-51(ISEC), pp.45-51(SITE), pp.45-51(BioX), pp.45-51(HWS), pp.45-51(ICSS), pp.45-51(EMM),
#Pages 7
Date of Issue 2023-07-17 (ISEC, SITE, BioX, HWS, ICSS, EMM)