One-way accumulators: a decentralized alternative to digital signatures
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Space/time trade-offs in hash coding with allowable errors
Communications of the ACM
Proceedings of the Third International Workshop on Fast Software Encryption
Ensuring Authentication of Digital Information Using Cryptographic Accumulators
CANS '09 Proceedings of the 8th International Conference on Cryptology and Network Security
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The accumulator was introduced as a decentralized alternative to digital signatures. While most of accumulators are based on number theoretic assumptions and require time-consuming modulo exponentiations, Nyberg's combinatoric accumulator dose not depend on any computational assumption and requires only bit operations and hash function evaluations. In this article, we present a generalization of Nyberg's combinatoric accumulator, which allows a lower false positive rate with the same output length. Our generalization also shows that the Bloom filter can be used as a cryptographic accumulator and moreover excels the Nyberg's accumulator.