Title
Efficient parallel verification of Galois field multipliers
Abstract
Galois field (GF) arithmetic is used to implement critical arithmetic components in communication and security-related hardware, and verification of such components is of prime importance. Current techniques for formally verifying such components are based on computer algebra methods that proved successful in verification of integer arithmetic circuits. However, these methods are sequential in nature and do not offer any parallelism. This paper presents an algebraic functional verification technique of gate-level GF(2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">m</sup> ) multipliers, in which verification is performed in bit-parallel fashion. The method is based on extracting a unique polynomial in Galois field of each output bit independently. We demonstrate that this method is able to verify an n-bit GF multiplier in n threads. Experiments performed on pre- and post-synthesized Mastrovito and Montgomery multipliers show high efficiency up to 571 bits.
Year
DOI
Venue
2017
10.1109/ASPDAC.2017.7858326
2017 22nd Asia and South Pacific Design Automation Conference (ASP-DAC)
Keywords
DocType
Volume
Formal verification,Galois field arithmetic circuits,computer algebra
Conference
abs/1611.05101
ISSN
ISBN
Citations 
2153-6961
978-1-5090-1559-7
1
PageRank 
References 
Authors
0.36
8
2
Name
Order
Citations
PageRank
Cunxi Yu1989.64
Maciej J. Ciesielski262974.80