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A New Signature Scheme Without Random Oracles from Bilinear Pairings
Author(s) -
Fangguo Zhang,
Xiaofeng Chen,
Willy Susilo,
Yi Mu
Publication year - 2006
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-68799-8
DOI - 10.1007/11958239_5
Subject(s) - random oracle , signature (topology) , schnorr signature , scheme (mathematics) , oracle , bilinear interpolation , mathematics , theoretical computer science , construct (python library) , computer science , square (algebra) , merkle signature scheme , algorithm , digital signature , blind signature , public key cryptography , computer security , statistics , encryption , hash function , computer network , mathematical analysis , programming language , geometry
In this paper, we propose a new signature scheme that is existentially unforgeable under a chosen message attack without random oracle. The security of the proposed scheme depends on a new complexity assumption called the k+1 square roots assumption. Moreover, the k+1 square roots assumption can be used to construct shorter signatures under the random oracle model.

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