Bounds and Improvements for BiBa Signature Schemes

This paper analyzes and improves the recently proposed bins and balls signature (BiBa [23]), a new approach for designing signatures from one-way functions without trapdoors. We rst construct a general framework for signature schemes based on the balls and bins paradigm and propose several new related signature algorithms. The framework also allows us to obtain upper bounds on the security of such signatures. Several of our signature algorithms approach the upper bound. We then show that by changing the framework in a novel manner we can boost the eÆciency and security of our signature schemes. We call the resulting mechanism Powerball signatures. Powerball signatures o er greater security and eÆciency than previous signature schemes based on one-way functions without trapdoors.