Finite fields (Algebra) Coding theory Arithmetical algebraic geometry Cryptography Number theory Combinatorial analysis Commutative rings Group theory Combinatorics -- Designs and configurations -- Designs and configurations Field theory and polynomials -- Computational aspects of field theory and polynomials -- Computational aspects of field theory and polynomials Field theory and polynomials -- Field extensions -- Field extensions Field theory and polynomials -- General field theory -- General field theory Geometry -- Finite geometry and special incidence structures -- Finite geometry and special incidence structures Group theory and generalizations -- Representation theory of groups -- Representation theory of groups Information and communication, circuits -- Communication, information -- Communication, information Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes -- Theory of error-correcting codes and error-detecting codes Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Arithmetic algebraic geometry (Diophantine geometry) Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Finite fields and commutative rings (number-theoretic aspects)