Efficient Arithmetic on Koblitz Curves
Designs, Codes and Cryptography - Special issue on towards a quarter-century of public key cryptography
Improved Digital Signature Suitable for Batch Verification
IEEE Transactions on Computers
Faster Point Multiplication on Elliptic Curves with Efficient Endomorphisms
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
An Elliptic Curve Implementation of the Finite Field Digital Signature Algorithm
CRYPTO '98 Proceedings of the 18th Annual International Cryptology Conference on Advances in Cryptology
Attacking and Repairing Batch Verification Schemes
ASIACRYPT '00 Proceedings of the 6th International Conference on the Theory and Application of Cryptology and Information Security: Advances in Cryptology
On the Security of RSA Screening
PKC '99 Proceedings of the Second International Workshop on Practice and Theory in Public Key Cryptography
Identification of Bad Signatures in Batches
PKC '00 Proceedings of the Third International Workshop on Practice and Theory in Public Key Cryptography: Public Key Cryptography
Guide to Elliptic Curve Cryptography
Guide to Elliptic Curve Cryptography
Efficient Identification of Bad Signatures in RSA-Type Batch Signature
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Use of Sparse and/or Complex Exponents in Batch Verification of Exponentiations
IEEE Transactions on Computers
Batch Verification of Short Signatures
EUROCRYPT '07 Proceedings of the 26th annual international conference on Advances in Cryptology
Efficient Batch Verification of Short Signatures for a Single-Signer Setting without Random Oracles
IWSEC '08 Proceedings of the 3rd International Workshop on Security: Advances in Information and Computer Security
Fast exponentiation with precomputation
EUROCRYPT'92 Proceedings of the 11th annual international conference on Theory and application of cryptographic techniques
Fast batch verification of multiple signatures
PKC'07 Proceedings of the 10th international conference on Practice and theory in public-key cryptography
New Frobenius expansions for elliptic curves with efficient endomorphisms
ICISC'02 Proceedings of the 5th international conference on Information security and cryptology
Accelerated verification of ECDSA signatures
SAC'05 Proceedings of the 12th international conference on Selected Areas in Cryptography
Batch verification suitable for efficiently verifying a limited number of signatures
ICISC'12 Proceedings of the 15th international conference on Information Security and Cryptology
Batch verification suitable for efficiently verifying a limited number of signatures
ICISC'12 Proceedings of the 15th international conference on Information Security and Cryptology
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Batch verification is a method for verifying digital signatures at once. Batch verification can reduce the computational cost compared to that of verifying each signature one by one, and in particular, batch verification is especially appropriate for systems which are required to verify a large amount of signatures. However, in addition to the above requirement, several types of systems might also require verifying a limited number of digital signatures more and more efficiently in real-time. For this purpose, to improve the efficiency of verifying a limited number of signatures is presumably an important matter. This paper deals with the second requirement and proposes an efficient batch verification technique suitable for verifying a limited number of signatures in real-time. Our method can only be applied to elliptic curve based signatures, and uses one of the two special families of elliptic curves.