A Strongly Unforgeable Signature under the CDH Assumption without Collision Resistant Hash Functions

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概要

• 論文の詳細を見る

• Unforgeability of digital signatures is closely related to the security of hash functions since hashing messages, such as hash-and-sign paradigm, is necessary in order to sign (arbitrarily) long messages. Recent successful collision finding attacks against practical hash functions would indicate that constructing practical collision resistant hash functions is difficult to achieve. Thus, it is worth considering to relax the requirement of collision resistance for hash functions that is used to hash messages in signature schemes. Currently, the most efficient strongly unforgeable signature scheme in the standard model which is based on the CDH assumption (in bilinear groups) is the Boneh-Shen-Waters (BSW) signature proposed in 2006. In their scheme, however, a collision resistant hash function is necessary to prove its security. In this paper, we construct a signature scheme which has the same properties as the BSW scheme but does not rely on collision resistant hash functions. Instead, we use a target collision resistant hash function, which is a strictly weaker primitive than a collision resistant hash function. Our scheme is, in terms of the signature size and the computational cost, as efficient as the BSW scheme.

• （社）電子情報通信学会の論文
• 2008-05-01

著者

• IMAI Hideki

  Chuo University

• Imai H

  National Inst. Of Advanced Industrial Sci. And Technol. Tokyo Jpn

• Imai Hideki

  Aist Tokyo Jpn

• Imai Hideki

  Faculty Of Science And Engineering Chuo University:research Center For Information Security (rcis) N

• Hanaoka Goichiro

  Research Center For Information Security (rcis) National Institute Of Advanced Industrial Science &a

• Hanaoka Goichiro

  Institute Of Industrial Science The University Of Tokyo

• Hanaoka Goichiro

  3rd Department Institute Of Industrial Science The University Of Tokyo

• MATSUDA Takahiro

  University of Tokyo

• ATTRAPADUNG Nuttapong

  AIST

• HANAOKA Goichiro

  AIST

• MATSUURA Kanta

  University of Tokyo

• Matsuura Kanta

  Univ. Tokyo Tokyo Jpn

• Attrapadung Nuttapong

  Aist Tokyo Jpn

• Hanaoka G

  National Institute Of Advanced Industrial Science And Technology

• Imai Hideki

  Aist

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