FFCSA - Finite Field Constructions, Search, and Algorithms

In this work we present the new GAP package FFCSA - Finite Field Constructions, Search, and Algorithms. It was designed to enable Design Space Exploration for hardware implementations of cryptographic algorithms defined over finite fields. FFCSA constructions and searches are used to produce the design space, and FFCSA algorithms, parameterized for the current candidate field, are used to generate expressions needed for implementation in hardware