Presentation 2007-09-07
An Extension of Fast Threshold Schemes Using XOR Operations (2)
Jun KURIHARA, Shinsaku KIYOMOTO, Kazuhide FUKUSHIMA, Toshiaki TANAKA,
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Abstract(in English) This paper proposes several extensions of fast (k,n)-threshold schemes which use EXCLUSIVE-OR(XOR) operations. We introduced the new concept of singular point of divided pieces of shares in part one. Several methods using singular point based on fast (k,n)-threshold schemes are proposed in this paper. These comprise a fast threshold ramp scheme and a method to embed additional information into shares. Similar to a ramp scheme based on Shamir's threshold scheme, our fast ramp scheme realizes to reduce each bit-size of shares instead of degradation of security. On the other hand, a method to embed additional information allows only participants who pre-shared the authorities with the dealer to recover not only the secret but also the additional information corresponding to the authority from k shares. Thus, this embedding method can realize a distributed subliminal channel (storage) between the dealer and the trusted participant, simple access control method and so on, which use the property of secret sharing schemes.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) secret sharing scheme / threshold scheme / ramp secret sharing scheme / exclusive-or / random number
Paper # ISEC2007-75
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Committee ISEC
Conference Date 2007/8/31(1days)
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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 (2)
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 # ISEC2007-75
Volume (vol) vol.107
Number (no) 209
Page pp.pp.-
#Pages 7
Date of Issue