Presentation 2007-05-18
A Fast (4,n)-Threshold Secret Sharing Scheme Using Exclusive-OR Operations, and Its Extension to (k,n)-Threshold Schemes
Jun KURIHARA, Shinsaku KIYOMOTO, Kazuhide FUKUSHIMA, Toshiaki TANAKA,
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Abstract(in English) In Shamir's (k,n)-threshold secret sharing scheme, a heavy computational cost is required to recover the secret from k shares. As a solution to this problem, several fast threshold schemes are proposed. However, there is no fast ideal (k,n)-threshold scheme, where k >_ 4 and n is arbitrary. This paper proposes a new fast (4,n)-threshold scheme using just EXCLUSIVE-OR(XOR) operations to make shares and recover the secret, which is an ideal secret sharing scheme similar to Shamir's scheme. Furthermore, we extend and generalize the (4,n)-threshold scheme to a new fast (k,n)-threshold scheme using XOR operations with arbitrary k and n, which is also an ideal secret sharing scheme.
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Keyword(in English) secret sharing schemes / exclusive-or / random number / ideal secret sharing schemes
Paper # ISEC2007-4
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Committee ISEC
Conference Date 2007/5/11(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Fast (4,n)-Threshold Secret Sharing Scheme Using Exclusive-OR Operations, and Its Extension to (k,n)-Threshold Schemes
Sub Title (in English)
Keyword(1) secret sharing schemes
Keyword(2) exclusive-or
Keyword(3) random number
Keyword(4) ideal secret sharing schemes
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 2007-05-18
Paper # ISEC2007-4
Volume (vol) vol.107
Number (no) 44
Page pp.pp.-
#Pages 8
Date of Issue