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STOC '89 Proceedings of the twenty-first annual ACM symposium on Theory of computing
On the complexity of pseudo-random sequences—or: if you can describe a sequence it can't be Random
EUROCRYPT '89 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
Random oracles are practical: a paradigm for designing efficient protocols
CCS '93 Proceedings of the 1st ACM conference on Computer and communications security
Relative to a random oracle, NP is not small
Journal of Computer and System Sciences
On the Length of Programs for Computing Finite Binary Sequences
Journal of the ACM (JACM)
A Theory of Program Size Formally Identical to Information Theory
Journal of the ACM (JACM)
Information and Randomness: An Algorithmic Perspective
Information and Randomness: An Algorithmic Perspective
Separating Random Oracle Proofs from Complexity Theoretic Proofs: The Non-committing Encryption Case
CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
The random oracle methodology, revisited
Journal of the ACM (JACM)
Oracle Separation in the Non-uniform Model
ProvSec '09 Proceedings of the 3rd International Conference on Provable Security
Random oracles and auxiliary input
CRYPTO'07 Proceedings of the 27th annual international cryptology conference on Advances in cryptology
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The Random Oracle model popularized by Bellare and Rogaway in 1993 has proven to be hugely successful, allowing cryptographers to give security proofs for very efficient and practical schemes. In this paper, we discuss the possibility of using an incompressible but fixed, "algorithmically random" oracle instead of the standard random oracle and show that this approach allows for rather similar results to be proven but in a completely different way. We also show that anything provably secure in the standard random oracle model is also secure with respect to any algorithmically random oracle and then discuss the implications.