Presentation 2019-03-08
A Private PEZ Protocol of 4-Input Majority Vote with 29 PEZ Candies
Yoshiki Abe, Shota Yamamoto, Mitsugu Iwamoto, Kazuo Ohta,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Secure multi-party computation can be implemented by using a (big) PEZ dispenser, which is called as a ¥textit{private PEZ protocol}. In the original Balogh et al.'s paper, a protocol for computing an arbitrary function was presented by using a huge number of candies. For instance, 6941 candies are necessary for computing an ¥textit{arbitrary} function with 4 inputs. However, we can reduce the number of candies if we design a protocol for calculating a ¥textit{specific} function. Actually, Yamamoto et al.¥ proposed a private PEZ protocol with 107 candies for computing 4-input majority vote. This protocol is obtained by carefully analyzing the private PEZ protocol for 3-input majority vote with 13 candies providedin the Balogh et al.'s paper without any derivation. This analysis tells us that the protocol is obtained recursively. Using this structure, we show in this paper that the numberof candies can further be reduced and only 29 candies are sufficient for the 4-input majority vote.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Multi-party computation / Private PEZ protocol
Paper # IT2018-111,ISEC2018-117,WBS2018-112
Date of Issue 2019-02-28 (IT, ISEC, WBS)

Conference Information
Committee IT / ISEC / WBS
Conference Date 2019/3/7(2days)
Place (in Japanese) (See Japanese page)
Place (in English) University of Electro-Communications
Topics (in Japanese) (See Japanese page)
Topics (in English) joint meeting of IT, ISEC, and WBS
Chair Jun Muramatsu(NTT) / Atsushi Fujioka(Kanagawa Univ.) / Minoru Okada(NAIST)
Vice Chair Tadashi Wadayama(Nagoya Inst. of Tech.) / Shiho Moriai(NICT) / Shoichi Hirose(Univ. of Fukui) / Koji Ohuchi(Shizuoka Univ.) / Kenichi Takizawa(NICT)
Secretary Tadashi Wadayama(Nagano Pref Inst. of Tech.) / Shiho Moriai(UEC) / Shoichi Hirose(Tokai Univ.) / Koji Ohuchi(NICT) / Kenichi Takizawa(Ibaraki Univ.)
Assistant Takahiro Yoshida(Yokohama College of Commerce) / Kazunari Omote(Tsukuba Univ.) / Yuuji Suga(IIJ) / Ryohei Nakamura(National Defense Academy) / Duong Quang Thang(NAIST)

Paper Information
Registration To Technical Committee on Information Theory / Technical Committee on Information Security / Technical Committee on Wideband System
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Private PEZ Protocol of 4-Input Majority Vote with 29 PEZ Candies
Sub Title (in English)
Keyword(1) Multi-party computation
Keyword(2) Private PEZ protocol
1st Author's Name Yoshiki Abe
1st Author's Affiliation The University of Electro-Communications(UEC)
2nd Author's Name Shota Yamamoto
2nd Author's Affiliation The University of Electro-Communications(UEC)
3rd Author's Name Mitsugu Iwamoto
3rd Author's Affiliation The University of Electro-Communications(UEC)
4th Author's Name Kazuo Ohta
4th Author's Affiliation The University of Electro-Communications(UEC)
Date 2019-03-08
Paper # IT2018-111,ISEC2018-117,WBS2018-112
Volume (vol) vol.118
Number (no) IT-477,ISEC-478,WBS-479
Page pp.pp.223-228(IT), pp.223-228(ISEC), pp.223-228(WBS),
#Pages 6
Date of Issue 2019-02-28 (IT, ISEC, WBS)