Parallel Algorithms Development for Programmable Devices with Application from Cryptography

Abstract

Reconfigurable devices, such as Field Programmable Gate Arrays (FPGAs), have been witnessing a considerable increase in density. State-of-the-art FPGAs are complex hybrid devices that contain up to several millions of gates. Recently, research effort has been going into higher-level parallelization and hardware synthesis methodologies that can exploit such a programmable technology. In this paper, we explore the effectiveness of one such formal methodology in the design of parallel versions of the Serpent cryptographic algorithm. The suggested methodology adopts a functional programming notation for specifying algorithms and for reasoning about them. The specifications are realized through the use of a combination of function decomposition strategies, data refinement techniques, and off-the-shelf refinements based upon higher-order functions. The refinements are inspired by the operators of Communicating Sequential Processes (CSP) and map easily to programs in Handel-C (a hardware description language). In the presented research, we obtain several parallel Serpent implementations with different performance characteristics. The developed designs are tested under Celoxica's RC-1000 reconfigurable computer with its 2 million gates Virtex-E FPGA. Performance analysis and evaluation of these implementations are included.