Finite Field Multiplier Architectures for Hyper-Elliptic Curve Cryptography

Gabriel Gallin (1) , Arnaud Tisserand (2)

1 CAIRN - Energy Efficient Computing ArchItectures with Embedded Reconfigurable Resources
2 Lab-STICC_UBS_CACS_MOCS

In this work, we present a new arithmetic unit for the multiplication in prime finite fields. This modular multiplier is intended to be part of an hardware accelerator dedicated to Hyper-Elliptic Curve Cryptography. Various configurations of the multiplier have been implemented in different FPGAs. We will present the results we obtained in terms of circuit area and computation time and we will make the comparison with the actual state-of-the-art in mplementation of modular multipliers.

Mots clés: Embedded systems; Hardware implementation; Modular multiplier; Hyper-Elliptic Curve Cryptography; HECC; Elliptic Curve Cryptography; ECC; FPGA

Domaines: Arithmétique des ordinateurs; Cryptographie et sécurité [cs.CR]; Micro et nanotechnologies/Microélectronique

Gabriel Gallin, Arnaud Tisserand. Finite Field Multiplier Architectures for Hyper-Elliptic Curve Cryptography. Colloque National du GDR SOC2, Jun 2017, Bordeaux, France. . ⟨hal-01539852⟩