On Constructions and Security Notions of Public-key Cryptosystems (original) (raw)

2012, Book Chapter, Contemporary Topics in Mathematics and Statistics with Applications, Volume-I, Asian Books Pvt Ltd.

From its inception, public-key cryptosystems have been an area of active research. Various aspects of public-key encryption like constructions, security notions, adversarial models, hardness assumptions, proof-methodology, efficiency, compatibility etc. have been analysed and re-analysed in the last three and half decades by numerous cryptographers. Some of them are good enough to survive while some of them, though broken, provides meaningful insights towards the subject. In this article, our aim is to provide an expository as well as technical (as far as possible, keeping in mind its brevity) overview of the subject as it has progressed over the years, along with some open problems and suitable references.

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