Arithmetic of Finite Fields

Pre- and post-quantum diffie-hellman from groups, actions, and isogenies.- A new family of pairing-friendly elliptic curves.- superspecial hyperelliptic curves of genus 4 over small finite fields.- Fast computation of isomorphisms between finite fields using elliptic curves.- construction of some codes suitable for both side channel and fault injection attacks.- On hardware implementation of tang-maitra boolean functions.- rapid hardware design for cryptographic modules with filtering structures over small finite fields.- Sequences with low correlation.- Vector-valued modular forms on finite upper half planes.- Normal basis exhaustive search.- On symmetry and differential properties of generalized boolean functions.- Characterizations of partially bent and plateaued functions over finite fields.- Codes of length two correcting single errors of limited size II.- Fractional jumps: complete characterisation and an explicit infinite family.- Some sextics of genera five and seven attaining the serre bound.- Direct constructions of (involutory) MDS matrices from block vandermonde and cauchy-like matrices.- Exploiting preprocessing for quantum search to break parameters for MQ cryptosystems.