Presentation 2007-09-07
An Extension of Fast Threshold Schemes Using XOR Operations (1)
Jun KURIHARA, Shinsaku KIYOMOTO, Kazuhide FUKUSHIMA, Toshiaki TANAKA,
PDF Download Page PDF download Page Link
Abstract(in Japanese) (See Japanese page)
Abstract(in English) This paper proposes several extensions of fast (k,n)-threshold schemes which use EXCLUSIVE-OR(XOR) operations. Existing fast threshold schemes need to calculate inverse matrices in recovery phase and hence these operations on software/hardware are delayed due to conditional branching in calculation of invese matrices. We introduce a new method to calculate a particular matrix in a recovery algorithm. Our method does not need to make a generator matrix for shares or to calculate inverse matrices of block matrices. The particular matrix which denotes the combination of divided pieces of shares to recover the secret is calculated by rote only from the share indexes. Futhermore, our method can be implemented without "IF" statement (conditional branching) by using word-wise XOR operations, cyclic shift operations and bit shift operations. Thus, our method can be operated more rapidly than existing schemes on software and hardware.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) secret sharing scheme / threshold scheme / ramp secret sharing scheme / exclusive-or / random number
Paper # ISEC2007-74
Date of Issue

Conference Information
Committee ISEC
Conference Date 2007/8/31(1days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair
Vice Chair
Secretary
Assistant

Paper Information
Registration To Information Security (ISEC)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Extension of Fast Threshold Schemes Using XOR Operations (1)
Sub Title (in English)
Keyword(1) secret sharing scheme
Keyword(2) threshold scheme
Keyword(3) ramp secret sharing scheme
Keyword(4) exclusive-or
Keyword(5) random number
1st Author's Name Jun KURIHARA
1st Author's Affiliation KDDI R&D Laboratories, Inc.()
2nd Author's Name Shinsaku KIYOMOTO
2nd Author's Affiliation KDDI R&D Laboratories, Inc.
3rd Author's Name Kazuhide FUKUSHIMA
3rd Author's Affiliation KDDI R&D Laboratories, Inc.
4th Author's Name Toshiaki TANAKA
4th Author's Affiliation KDDI R&D Laboratories, Inc.
Date 2007-09-07
Paper # ISEC2007-74
Volume (vol) vol.107
Number (no) 209
Page pp.pp.-
#Pages 8
Date of Issue