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Multiplication in Finite Fields of Characteristic 2

Guillermo Morales-Luna

Computer Science Section, CINVESTAV-IPN, Mexico

This document is available in PDF here.

A Mathematica notebook for the graphs shown here is available here.

Abstract:

Using a canonical enumeration procedure, we identify each Galois field of characteristic 2 with the corresponding integer interval with extremes 0 and the corresponding Marsenne number. We plot the graphs of the field operations through that identification.