Selected areas in cryptography

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This book covers a wide range of topics in cryptography, starting with elliptic and hyperelliptic curve arithmetic and efficient pairing computations on genus 2 curves. It discusses software parallel implementations of cryptographic pairings and explores block ciphers, including the cryptanalysis of reduced-round SMS4 and the construction of secure block ciphers based on generic attack assumptions. The text includes insights from invited talks, focusing on lifting and elliptic curve discrete logarithms, as well as hash functions, detailing preimage attacks on various algorithms like MD4 and MD5, and cryptanalysis of modified versions of SMASH. Mathematical aspects of applied cryptography are examined, including counting functions for k-error linear complexity in binary sequences and the success rate of side-channel analysis in the Gaussian model. Stream ciphers are analyzed through algebraic and correlation attacks, including a cache timing analysis of HC-256 and improved correlation attacks. The book also delves into hash functions, proposing a three-property-secure hash function and analyzing collision resistance in RadioGatún. It discusses public verifiability from pairings in secret sharing schemes and the elliptic curve discrete logarithm problem. Additional topics include distinguishing multiplications from squaring operations, polynomial multiplication over GF(2^m), and curve-based primitives in hardware, highlighting