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Cryptographic Foundations
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December 28, 2026

Foundations of Modern Cryptography is a graduate-level textbook that introduces students and working engineers to the mathematics and practice of modern cryptography, from classical ciphers and security definitions through symmetric primitives (block ciphers, modes, hash functions, MACs) to public-key cryptography (RSA, elliptic curves, digital signatures, key exchange, PKI), with post-quantum cryptography (ML-KEM, ML-DSA, SLH-DSA) integrated throughout the public-key chapters rather than confined to a separate section. It pairs precise security definitions and proofs with 667 graded exercises and a runnable Python/SageMath cookbook (Appendix B), bridging the gap between theory-first texts (Katz–Lindell, Boneh–Shoup) and engineering-first texts (Schneier, Aumasson). All historical attributions, standard numbers, and quoted results have been audited against primary sources.
Prof. Jyotiprakash Mishra is a Senior Assistant Professor at the School of Computer Engineering, Kalinga Institute of Industrial Technology (KIIT), Bhubaneswar. He earned his BE in Computer Science from BITS Pilani K. K. Birla Goa Campus and his MS in Computer Science from the University of Wisconsin–Madison, where he topped the cryptography and information-security courses. He is completing a PhD at BITS Pilani Goa on hardware security, RISC-V, malware analysis, and cryptography under the supervision of Professor Sahay. His professional career spans more than a decade at Oracle, Yahoo, and Epic Systems in enterprise security, web services, and healthcare software. His research interests include applied cryptography, hardware security, secure processor design, and cache side-channel defences. Recent publications appear in Springer LNNS and arXiv preprint series.
Prof. Sanjay K. Sahay, Professor at Department of Computer Science and Information Systems at BITS Pilani K. K. Birla Goa Campus, and Visiting Associate of IUCAA, Pune. Over twenty-five years of academic and research experience spanning information security, applied cryptography, applied artificial intelligence, malware analysis, blockchain technology, and gravitational-wave data analysis. Over 120 publications, six graduated PhD students, and multiple sponsored research projects.