A digital signature scheme secure against adaptive chosen-message attacks
SIAM Journal on Computing - Special issue on cryptography
One-way functions are necessary and sufficient for secure signatures
STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
STOC '91 Proceedings of the twenty-third annual ACM symposium on Theory of computing
Signature schemes based on the strong RSA assumption
CCS '99 Proceedings of the 6th ACM conference on Computer and communications security
On the generation of cryptographically strong pseudorandom sequences
ACM Transactions on Computer Systems (TOCS)
Coding Constructions for Blacklisting Problems without Computational Assumptions
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
A Forward-Secure Digital Signature Scheme
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
Improved Online/Offline Signature Schemes
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
The Cramer-Shoup Strong-RSASignature Scheme Revisited
PKC '03 Proceedings of the 6th International Workshop on Theory and Practice in Public Key Cryptography: Public Key Cryptography
Programmable Hash Functions and Their Applications
CRYPTO 2008 Proceedings of the 28th Annual conference on Cryptology: Advances in Cryptology
Realizing Hash-and-Sign Signatures under Standard Assumptions
EUROCRYPT '09 Proceedings of the 28th Annual International Conference on Advances in Cryptology: the Theory and Applications of Cryptographic Techniques
Short and Stateless Signatures from the RSA Assumption
CRYPTO '09 Proceedings of the 29th Annual International Cryptology Conference on Advances in Cryptology
Secure hash-and-sign signatures without the random oracle
EUROCRYPT'99 Proceedings of the 17th international conference on Theory and application of cryptographic techniques
Efficient identity-based encryption without random oracles
EUROCRYPT'05 Proceedings of the 24th annual international conference on Theory and Applications of Cryptographic Techniques
Short signatures from weaker assumptions
ASIACRYPT'11 Proceedings of the 17th international conference on The Theory and Application of Cryptology and Information Security
CT-RSA'12 Proceedings of the 12th conference on Topics in Cryptology
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Signature schemes from the RSA assumption are very important because of their highly reliable security. Despite their importance, only a few digital signature schemes from the RSA assumption are currently known. Thus, improvement of efficiency in this area seems to be very important. In this paper, we propose various signature schemes from the RSA assumption. First, we propose a scheme that simultaneously provides the shortest signatures and public key length among the known schemes. Compared with the known best schemes, the signature size is the same as that of the scheme proposed recently by Hofheinz, Jager, and Kiltz, whereas the public key size is about the half that of the Hohenberger-Waters scheme. The drawback of the scheme is its heavy signing and verification algorithms. Second, we also propose a scheme whose public key is longer than our first scheme, but the signing and verification cost is more efficient. The scheme can be seen as a generalization of our first scheme and the Hofheinz-Jager-Kiltz scheme. Finally, we propose a scheme whose signing and verification algorithms are more efficient than our first and second schemes, whereas the signature size is longer. All these schemes are constructed based on a new observation about the relation between m -time signature schemes and short signature schemes.