One-way functions are necessary and sufficient for secure signatures
STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
Securing services in nomadic computing environments
Information and Software Technology
Some transfinite generalisations of gödel's incompleteness theorem
WTCS'12 Proceedings of the 2012 international conference on Theoretical Computer Science: computation, physics and beyond
Hi-index | 0.00 |
We investigate the possibility of cryptographic primitives over nonclassical computational models. We replace the traditional finite field Fn* with the infinite field Q of rational numbers, and we give all parties unbounded computational power. We also give parties the ability to sample random real numbers. We determine that secure signature schemes and secure encryption schemes do not exist.We then prove more generally that it is impossible for two parties to agree upon a shared secret in this model. This rules out many other cryptographic primitives, such as Diffie-Hellman key exchange, oblivious transfer and interactive encryption.