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Cryptography lies at the heart of most technologies deployed today for secure communications. At the same time, mathematics lies at the heart of cryptography, as cryptographic constructions are based on algebraic scenarios ruled by group or number theoretical laws. Understanding the involved algebraic structures is, thus, essential to design robust cryptographic schemes. This Special Issue is concerned with the interplay between group theory, symmetry and cryptography. The book highlights four exciting areas of research in which these fields intertwine: post-quantum cryptography, coding theory, computational group theory and symmetric cryptography. The articles presented demonstrate the relevance of rigorously analyzing the computational hardness of the mathematical problems used as a base for cryptographic constructions. For instance, decoding problems related to algebraic codes and rewriting problems in non-abelian groups are explored with cryptographic applications in mind. New results on the algebraic properties or symmetric cryptographic tools are also presented, moving ahead in the understanding of their security properties. In addition, post-quantum constructions for digital signatures and key exchange are explored in this Special Issue, exemplifying how (and how not) group theory may be used for developing robust cryptographic tools to withstand quantum attacks.
NP-Completeness --- protocol compiler --- post-quantum cryptography --- Reed–Solomon codes --- key equation --- euclidean algorithm --- permutation group --- t-modified self-shrinking generator --- ideal cipher model --- algorithms in groups --- lightweight cryptography --- generalized self-shrinking generator --- numerical semigroup --- pseudo-random number generator --- symmetry --- pseudorandom permutation --- Berlekamp–Massey algorithm --- semigroup ideal --- algebraic-geometry code --- non-commutative cryptography --- provable security --- Engel words --- block cipher --- cryptography --- beyond birthday bound --- Weierstrass semigroup --- group theory --- braid groups --- statistical randomness tests --- group-based cryptography --- alternating group --- WalnutDSA --- Sugiyama et al. algorithm --- cryptanalysis --- digital signatures --- one-way functions --- key agreement protocol --- error-correcting code --- group key establishment
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This book was established after the 8th International Workshop on Numerical and Evolutionary Optimization (NEO), representing a collection of papers on the intersection of the two research areas covered at this workshop: numerical optimization and evolutionary search techniques. While focusing on the design of fast and reliable methods lying across these two paradigms, the resulting techniques are strongly applicable to a broad class of real-world problems, such as pattern recognition, routing, energy, lines of production, prediction, and modeling, among others. This volume is intended to serve as a useful reference for mathematicians, engineers, and computer scientists to explore current issues and solutions emerging from these mathematical and computational methods and their applications.
Research & information: general --- Mathematics & science --- robust optimization --- differential evolution --- ROOT --- optimization framework --- drainage rehabilitation --- overflooding --- pipe breaking --- VCO --- CMOS differential pair --- PVT variations --- Monte Carlo analysis --- multi-objective optimization --- Pareto Tracer --- continuation --- constraint handling --- surrogate modeling --- multiobjective optimization --- evolutionary algorithms --- kriging method --- ensemble method --- adaptive algorithm --- liquid storage tanks --- base excitation --- artificial intelligence --- Multi-Gene Genetic Programming --- computational fluid dynamics --- finite volume method --- JSSP --- CMOSA --- CMOTA --- chaotic perturbation --- fixed point arithmetic --- FP16 --- pseudo random number generator --- incorporation of preferences --- multi-criteria classification --- decision-making process --- multi-objective evolutionary optimization --- outranking relationships --- decision maker profile --- profile assessment --- region of interest approximation --- optimization using preferences --- hybrid evolutionary approach --- forecasting --- Convolutional Neural Network --- LSTM --- COVID-19 --- deep learning --- trust region methods --- multiobjective descent --- derivative-free optimization --- radial basis functions --- fully linear models --- decision making process --- cognitive tasks --- recommender system --- project portfolio selection problem --- usability evaluation --- multi-objective portfolio optimization problem --- trapezoidal fuzzy numbers --- density estimators --- steady state algorithms --- protein structure prediction --- Hybrid Simulated Annealing --- Template-Based Modeling --- structural biology --- Metropolis --- optimization --- linear programming --- energy central --- robust optimization --- differential evolution --- ROOT --- optimization framework --- drainage rehabilitation --- overflooding --- pipe breaking --- VCO --- CMOS differential pair --- PVT variations --- Monte Carlo analysis --- multi-objective optimization --- Pareto Tracer --- continuation --- constraint handling --- surrogate modeling --- multiobjective optimization --- evolutionary algorithms --- kriging method --- ensemble method --- adaptive algorithm --- liquid storage tanks --- base excitation --- artificial intelligence --- Multi-Gene Genetic Programming --- computational fluid dynamics --- finite volume method --- JSSP --- CMOSA --- CMOTA --- chaotic perturbation --- fixed point arithmetic --- FP16 --- pseudo random number generator --- incorporation of preferences --- multi-criteria classification --- decision-making process --- multi-objective evolutionary optimization --- outranking relationships --- decision maker profile --- profile assessment --- region of interest approximation --- optimization using preferences --- hybrid evolutionary approach --- forecasting --- Convolutional Neural Network --- LSTM --- COVID-19 --- deep learning --- trust region methods --- multiobjective descent --- derivative-free optimization --- radial basis functions --- fully linear models --- decision making process --- cognitive tasks --- recommender system --- project portfolio selection problem --- usability evaluation --- multi-objective portfolio optimization problem --- trapezoidal fuzzy numbers --- density estimators --- steady state algorithms --- protein structure prediction --- Hybrid Simulated Annealing --- Template-Based Modeling --- structural biology --- Metropolis --- optimization --- linear programming --- energy central
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This book was established after the 8th International Workshop on Numerical and Evolutionary Optimization (NEO), representing a collection of papers on the intersection of the two research areas covered at this workshop: numerical optimization and evolutionary search techniques. While focusing on the design of fast and reliable methods lying across these two paradigms, the resulting techniques are strongly applicable to a broad class of real-world problems, such as pattern recognition, routing, energy, lines of production, prediction, and modeling, among others. This volume is intended to serve as a useful reference for mathematicians, engineers, and computer scientists to explore current issues and solutions emerging from these mathematical and computational methods and their applications.
robust optimization --- differential evolution --- ROOT --- optimization framework --- drainage rehabilitation --- overflooding --- pipe breaking --- VCO --- CMOS differential pair --- PVT variations --- Monte Carlo analysis --- multi-objective optimization --- Pareto Tracer --- continuation --- constraint handling --- surrogate modeling --- multiobjective optimization --- evolutionary algorithms --- kriging method --- ensemble method --- adaptive algorithm --- liquid storage tanks --- base excitation --- artificial intelligence --- Multi-Gene Genetic Programming --- computational fluid dynamics --- finite volume method --- JSSP --- CMOSA --- CMOTA --- chaotic perturbation --- fixed point arithmetic --- FP16 --- pseudo random number generator --- incorporation of preferences --- multi-criteria classification --- decision-making process --- multi-objective evolutionary optimization --- outranking relationships --- decision maker profile --- profile assessment --- region of interest approximation --- optimization using preferences --- hybrid evolutionary approach --- forecasting --- Convolutional Neural Network --- LSTM --- COVID-19 --- deep learning --- trust region methods --- multiobjective descent --- derivative-free optimization --- radial basis functions --- fully linear models --- decision making process --- cognitive tasks --- recommender system --- project portfolio selection problem --- usability evaluation --- multi-objective portfolio optimization problem --- trapezoidal fuzzy numbers --- density estimators --- steady state algorithms --- protein structure prediction --- Hybrid Simulated Annealing --- Template-Based Modeling --- structural biology --- Metropolis --- optimization --- linear programming --- energy central
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