On formal verification of arithmetic-based cryptographic primitives
Abstract
Description
Cryptographic primitives are fundamental for information security: they are used as basic components for cryptographic protocols or public-key cryptosystems. In many cases, their security proofs consist in showing that they are reducible to computationally hard problems. Those reductions can be subtle and tedious, and thus not easily checkable. On top of the proof assistant Coq, we had implemented in previous work a toolbox for writing and checking game-based security proofs of cryptographic primitives. In this paper we describe its extension with number-theoretic capabilities so that it is now possible to write and check arithmetic-based cryptographic primitives in our toolbox. We illustrate our work by machine checking the game-based proofs of unpredictability of the pseudo-random bit generator of Blum, Blum and Shub, and semantic security of the public-key cryptographic scheme of Goldwasser and Micali.
13 pages
13 pages
Citation
Consulte el texto completo en el siguiente enlace:
https://arxiv.org/abs/0904.1110
http://arxiv.org/abs/0904.1110
In Information Security and Cryptology - ICISC 2008, 11th International Conference, Seoul, Korea, December 3-5, 2008, Proceedings, volume 5461 of Lecture Notes in Computer Science, pages 368-382, Springer
doi:10.1007/978-3-642-00730-9_23
http://arxiv.org/abs/0904.1110
In Information Security and Cryptology - ICISC 2008, 11th International Conference, Seoul, Korea, December 3-5, 2008, Proceedings, volume 5461 of Lecture Notes in Computer Science, pages 368-382, Springer
doi:10.1007/978-3-642-00730-9_23