Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves - Smith, Benjamin (Journal of cryptology, 2009)
Keywords: Applied sciences; Calculus; Coding and Information Theory; Combinatorics; Communications Engineering; Computational Mathematics and Numerical Analysis; Computer Science; Cryptography; Cryptography and Security; Exact sciences and technology; Fields (mathematics); Information, signal and communications theory; Jacobians; Kernels; Mathematics; Networks; Number Theory; Probability Theory and Stochastic Processes; Signal and communications theory; Telecommunications and information theory; Genus 3; Discrete logarithm problem; Hyperelliptic curve cryptography; Isogeny; Finite field; Logarithmic function; Vulnerability; Jacobi matrix; Kernel method; Discrete function; Discrete logarithm; Security of data; Cryptography