A Polymorphic Finite Field Multiplier
Indian Institute of Science –
In this work we present the architecture of a polymorphic multiplier for operations over various extensions of GF(2). We evolved the architecture of a textbook shift-and-add multiplier to arrive at the architecture of the polymorphic multiplier through a generalized mathematical formulation. The polymorphic multiplier is capable of morphing itself in runtime to create data-paths for multiplications of various orders. In order to optimally exploit the resources, we also introduced the capability of sub-word parallel execution in the polymorphic multiplier. The synthesis results of an instance of such a polymorphic multiplier shows about 41% savings in area with 21% degradation in maximum operating frequency compared to a collection of dedicated multipliers with equivalent functionality. We introduced the multiplier as an accelerator unit for field operations in the coarse grained runtime reconfigurable platform called REDEFINE. We observed 2.4x improvement in performance of the AES algorithm with the multiplier used as against software realization of multiplication kernels.
Date: 2011-Jul-22 Time: 15:00:00 Room: 020
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INESC-ID ESR Talks – February 2023
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