Electronic communication and financial transactions have assumed massive proportions today. But they comprise high risks too. Achieving cyber security has become a top priority, and has become one of the most crucial areas of study and research in IT. This book introduces readers to perhaps the most effective tool in achieving a secure environment, i.e. cryptography. Students who have elementary knowledge of mathematics, will be introduced to mathematical notions relevant to cryptography, and the design and analysis of the cryptographic schemes. More advanced students who have already a background of algebra, number theory, probability and algorithms; will be able to review the applications of secure systems and will be introduced to cryptographic primitives and current research, besides being exposed to scope of future research addressing the open problems in related area. This book gives more solved examples than most books on the subject, it includes state of the art topics and discusses the scope of future research.

Sahadeo Padhye has a doctorate in Cryptography, and currently working as Associate Professor at Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, India. His research interests include Public key Cryptography, Elliptic Curve Cryptography, Digital Signatures, Lattice Based Cryptography. He has published many research papers in reputed international journals and conferences in Cryptography.Rajeev A Sahu has a doctorate in Cryptography and currently working as a Post-Doctoral Researcher at Universite Libre de Bruxelles, Belgium. He has also worked as an Assistant Professor at C.R. Rao Advanced Institute of Mathematics Statistics & Computer Science, Hyderabad, India. His research interests are Identity-Based Cryptography, Elliptic Curve Cryptography, Digital Signature, Searchable Encryption, Post-Quantum Cryptography on which he has published over two dozen research papers in reputed international journals and conferences in Computer Science and Cryptography.Vishal Saraswat received his Ph.D. in Cryptography from University of Minnesota, Minneapolis, USA and has held regular and visiting positions at a variety of institutions, including IIT Jammu, IIT Hyderabad, ISI Kolkata, Univ. of Hyderabad and AIMSCS, Hyderabad. His research interests include anonymity and privacy, searchable encryption, postquantum crypto, and active and passive cryptanalysis, topics on which he has published several papers in reputed international journals and conferences.

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