Cryptology ePrint Archive: Report 2015/376

Cryptography from Post-Quantum Assumptions

Raza Ali Kazmi

Abstract: In this thesis we present our contribution in the field of post-quantum cryptography. We introduce a new notion of {\em weakly Random-Self-Reducible} public-key cryptosystem and show how it can be used to implement secure Oblivious Transfer. We also show that two recent (Post-quantum) cryptosystems can be considered as {\em weakly Random-Self-Reducible}. We introduce a new problem called Isometric Lattice Problem and reduce graph isomorphism and linear code equivalence to this problem. We also show that this problem has a perfect zero-knowledge interactive proof with respect to a malicious verifier; this is the only hard problem in lattices that is known to have this property.

Category / Keywords: foundations /

Date: received 18 Apr 2015

Contact author: raza-ali kazmi at mail mcgill ca

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Version: 20150424:184346 (All versions of this report)

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