A New Short Signature Scheme with Random Oracle from Bilinear Pairings

Authors

DOI:

https://doi.org/10.26636/jtit.2011.1.1125

Keywords:

bilinear Diffie-Hellman problem, bilinear pairings, ring signature, short signature

Abstract

In this paper, we propose a new and efficient short signature scheme from the bilinear pairings. Our scheme is constructed by bilinear inverse-square Diffie-Hellman problem (BISDHP) and does not require any special hash function. The exact security proofs are also explained in the random Oracle model. We give the implementation and comparison results of our proposed signature scheme with the signature scheme proposed by Boneh, Lynn, Shacham (BLS) and Zhang, Safavi, Susilo (ZSS). Furthermore, we use this signature scheme to construct a ring signature scheme.

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References

[1] „Digital Signature Standard”, FIPS PUB 186, National Institute of Standards and Technology, 1994.
View in Google Scholar

[2] D. Boneh, B. Lynn and H. Shacham, „Short signatures from the Weil pairing”, in Advances in Cryptology - Asiacrypt 2001, Lecture Notes in Computer Science, vol. 2248. Berlin: Springer, 2001, pp. 514-532.
View in Google Scholar

[3] P. S. L. M. Barreto and H. Y. Kim, „Fast hashing onto elliptic curves over fields of characteristic 3”, Cryptology ePrint Archive, Report 2001/098 [Online]. Available: http://eprint.iacr.org/2001/098/
View in Google Scholar

[4] D. Boneh and M. Franklin, „Identity-based encryption from the Weil pairing”, in Advances in Cryptology - Crypto 2001. Lecture Notes in Computer Science, vol. 2139, Berlin: Springer, 2001, pp. 213-229.
View in Google Scholar

[5] D. Boneh and X. Boyen, „Short signatures without random oracles”, in Advances in Cryptology - Eurocrypt 2004, Lecture Notes in Computer Science, vol. 3027. Berlin: Springer, 2004, pp. 56-73.
View in Google Scholar

[6] D. Boneh, X. Boyen and H. Shacham, „Short group signatures”, in Advances in Cryptology - Crypto 2004, Lecture Notes in Computer Science, vol. 3152. Berlin: Springer, 2004, pp. 41-55.
View in Google Scholar

[7] F. Zhang, R. Safavi-Naini and W. Susilo, „An efficient signature scheme from bilinear pairings and its applications”, in Advances in Cryptology - PKC 2004, Lecture Notes in Computer Science, vol. 2947. Berlin: Springer, 2004, pp. 277-290.
View in Google Scholar

[8] A. R. Sadeghi and M. Steiner, „Assumptions related to discrete logarithms: why subtleties make a real difference”, in Advances in Cryptology - Eurocrypt 2001, Lecture Notes in Computer Science, vol. 2045. Berlin: Springer, 2001, pp. 243-260.
View in Google Scholar

[9] A. Joux, „A one round protocol for tripartite Diffie-Hellman”, in Advances in Cryptology - ANTS 4, Lecture Notes in Computer Science, vol. 1838. Berlin: Springer, 2000, pp. 385-394.
View in Google Scholar

[10] S. Goldwasser, S. Micali and R. Rivest, „A digital signature scheme secure against adaptive chosen-message attacks”, SIAM J. Comput., vol. 17, no. 2, pp. 281-308, 1988.
View in Google Scholar

[11] M. Bellare and P. Rogaway, „The exact security of digital signatures - how to sign with RSA and Rabin”, in Advances in Cryptology - Eurocrypt 1996, Lecture Notes in Computer Science, vol. 1070. Berlin: Springer, 1996, pp. 399-416.
View in Google Scholar

[12] S. Mitsunari, R. Sakai and M. Kasahara, „A new traitor tracing”, IEICE Trans. Fundamentals, vol. E85-A, no. 2, pp. 481-484, 2002.
View in Google Scholar

[13] The Pairing-Based Cryptography (PBC) Library [Online]. Available: http://crypto.stanford.edu/pbc/
View in Google Scholar

[14] The GNU Multiple Precision Arithmetic Library (GMP) [Online]. Available: http://gmplib.org/
View in Google Scholar

[15] R. L. Rivest, A. Shamir and Y. Tauman, „How to leak a secret”, in Advances in Cryptology - Asiacrypt 2001, Lecture Notes in Computer Science, vol. 2248. Berlin: Springer, 2001, pp. 552-565.
View in Google Scholar

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Submitted

2023-06-27

Published

2011-03-30

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Section

RESEARCH ARTICLES

How to Cite

[1]
S. Akleylek, B. B. Kırlar, Ömer Sever, and Z. Yüce, “A New Short Signature Scheme with Random Oracle from Bilinear Pairings”, JTIT, vol. 43, no. 1, pp. 5–10, Mar. 2011, doi: 10.26636/jtit.2011.1.1125.