nded abstract of this work appears Advances in Cryptology — Asiacrypt 2000, Tatsuaki Okamoto, editor, Lecture Notes in Computer Science vol. 1976, Springer-Verlag, 2000. c IACR A New Forward-Secure Digital Signature Scheme Michel Abdalla∗ Leonid Reyzin† December 1, 2000 We improve the Bellare-Miner (Crypto ’99) construction of signature schemes with forward security in the random oracle model. Our scheme has significantly shorter keys and is, therefore, more practical. By using a direct proof technique not used for forward-secure schemes before, we are able to provide better security bounds for the original construction as well as for our scheme. Bellare and Miner also presented a method for constructing such schemes without the use of the random oracle. We conclude by proposing an improvement to their method and an additional, new method for accomplishing this.