[Resource Topic] 2020/482: A Trace Based $GF(2^n)$ Inversion Algorithm

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A Trace Based GF(2^n) Inversion Algorithm

Authors: Haining Fan


By associating Fermat’s Little Theorem based GF(2^n) inversion algorithms with the multiplicative Norm function, we present an additive Trace based GF(2^n) inversion algorithm. For elements with Trace value 0, it needs 1 less multiplication operation than Fermat’s Little Theorem based algorithms in some $GF(2^n)$s.

ePrint: https://eprint.iacr.org/2020/482

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