Presentation 2020-05-20
Making Variance of Mining Time Smaller for Computational Problems Based on Hash Functions
Hiroaki Anada, Kouichi Sakurai,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In Bitcoin, the computational problem which miners should solve is an equation described in the term of a hash function. The time (emph{mining time}) needed to solve the problem is known to follow the exponential distribution. The exponential distribution has the property that, when the expectation is fixed, the variance is also fixed to be the square of the expectation. This property is not preferable from the view point of possible vulnerability on information security. In this report, we evaluate two types of computational problems that are constructed from the computational problem of Bitcoin. The first type is serial concatenation and the second type is parallel concatenation. The times needed to solve the problems become the sum and the maximum of the times for the components, respectively. Using these properties, we state quantitively the results that the variances of the times are decreased. Finally, we mention as a trade-off that the data size of a block on the blockchain is increased.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Bitcoin / blockchain / hash function / mining time / exponential distribution / central limit theorem
Paper # ISEC2020-9
Date of Issue 2020-05-13 (ISEC)

Conference Information
Committee ISEC
Conference Date 2020/5/20(1days)
Place (in Japanese) (See Japanese page)
Place (in English) Online
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Shiho Moriai(NICT)
Vice Chair Shoichi Hirose(Univ. of Fukui) / Tetsuya Izu(Fujitsu Labs.)
Secretary Shoichi Hirose(NICT) / Tetsuya Izu(Tsukuba Univ.)
Assistant Dai Yamamoto(Fujitsu Labs.) / 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) Making Variance of Mining Time Smaller for Computational Problems Based on Hash Functions
Sub Title (in English) Serial Concatenation and Parallel Concatenation
Keyword(1) Bitcoin
Keyword(2) blockchain
Keyword(3) hash function
Keyword(4) mining time
Keyword(5) exponential distribution
Keyword(6) central limit theorem
1st Author's Name Hiroaki Anada
1st Author's Affiliation University of Nagasaki(Univ. Nagasaki)
2nd Author's Name Kouichi Sakurai
2nd Author's Affiliation Kyushu University(Kyushu Univ.)
Date 2020-05-20
Paper # ISEC2020-9
Volume (vol) vol.120
Number (no) ISEC-28
Page pp.pp.33-40(ISEC),
#Pages 8
Date of Issue 2020-05-13 (ISEC)