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This thesis is a compilation of the main published works I did during my studies in Australia. My research area was lattice-based cryptography, which focuses mainly on a family of mathematical primitives that are supposed to be “quantum-resistant”. The direction of my research was mostly targeted towards constructions that lie out- side of the mainly researched lattice forms to provide an alternative direction in the case common constructions were discovered to be insecure. We do have, however, some work that makes use of common constructions in which we expand the design space for better efficiency or security.
At PKC 2008, Plantard et al. published a theoretical framework for a lattice-based signature scheme, namely Plantard-Susilo-Win (PSW). Recently, after ten years, we proposed a new signature scheme dubbed the Diagonal Reduction Signature (DRS) scheme was presented in the National Institute of Standards and Technology (NIST) PQC Standardization as a concrete instantiation ....

National Institute Of Standards , Diagonal Reduction Signature , National Institute , Lattice Based Cryptography , Computer Arithmetic , தேசிய நிறுவனம் ஆஃப் தரநிலைகள் , மூலைவிட்ட குறைப்பு கையொப்பம் , தேசிய நிறுவனம் ,