Presentation 2020-11-06
Encodings and Numbers of Ciphertexts in Garbled Circuits on Three-valued Logic
Shunsuke Hayashi, Taroh Sasaki, Atsushi Fujioka,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Reducing the number of ciphertexts in a garbled circuit, a realizationmethod of secure computation, has been researched. Lindell et al. proposed four encodings in a three-valued logic, proposed by Kleene, and examined the numbers of ciphertexts. However, we have another three-valued logic, proposed by Bochvar. In ISEC2019-56, we examined the numbers of ciphertexts inthe Bochvar's logic with the encodings, and showed that the Natural3VL-Boolean Encoding archives the smallest number of ciphertexts. Furthermore, only four encodings were considered in the above, and, thus, we extended the encoding methods, examined the numbers ofciphertexts in the Bochvar's logic with (a part of) encodings, andfound encodings which archive the smallest number ofciphertexts in SCIS2020. This report examines the numbers of ciphertexts in the Bochvar's logicwith the rest of encodings and in the Kleene's logic with theencodings, and showed them.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) three-valued logic / garbled circuit / the number of ciphertexts
Paper # ISEC2020-35,SITE2020-32,LOIS2020-15
Date of Issue 2020-10-30 (ISEC, SITE, LOIS)

Conference Information
Committee LOIS / ISEC / SITE
Conference Date 2020/11/6(1days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Toru Kobayashi(Nagasaki Univ.) / Shoichi Hirose(Univ. of Fukui) / Masaru Ogawa(Kobe Gakuin Univ.)
Vice Chair Hiroyuki Toda(NTT) / Tetsuya Izu(Fujitsu Labs.) / Noboru Kunihiro(Tsukuba Univ.) / Takushi Otani(Kibi International Univ.) / Takeo Tatsumi(Open Univ. of Japan)
Secretary Hiroyuki Toda(NTT) / Tetsuya Izu(Nagasaki Univ.) / Noboru Kunihiro(Tsukuba Univ.) / Takushi Otani(Fujitsu Labs.) / Takeo Tatsumi(KDDI Research)
Assistant Shigeru Fujimura(NTT) / Kazuki Yoneyama(Ibaraki Univ.) / Daisuke Suzuki(Hokuriku Univ.) / Hideyuki Fujii(NRI-Secure)

Paper Information
Registration To Technical Committee on Life Intelligence and Office Information Systems / Technical Committee on Information Security / Technical Committee on Social Implications of Technology and Information Ethics
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Encodings and Numbers of Ciphertexts in Garbled Circuits on Three-valued Logic
Sub Title (in English)
Keyword(1) three-valued logic
Keyword(2) garbled circuit
Keyword(3) the number of ciphertexts
1st Author's Name Shunsuke Hayashi
1st Author's Affiliation Kanagawa University(Kanagawa Univ.)
2nd Author's Name Taroh Sasaki
2nd Author's Affiliation Kanagawa University(Kanagawa Univ.)
3rd Author's Name Atsushi Fujioka
3rd Author's Affiliation Kanagawa University(Kanagawa Univ.)
Date 2020-11-06
Paper # ISEC2020-35,SITE2020-32,LOIS2020-15
Volume (vol) vol.120
Number (no) ISEC-224,SITE-225,LOIS-226
Page pp.pp.19-25(ISEC), pp.19-25(SITE), pp.19-25(LOIS),
#Pages 7
Date of Issue 2020-10-30 (ISEC, SITE, LOIS)