What Is A Galois Field?

mainA Galois Field is actually a corn field owned by any person named Galois! Too obvious? Alright, that was a joke. Anyway, the word ‘field’ is being used in the mathematical context here. Évariste Galois was a mathematical prodigy who laid strong foundations for abstract algebra. His collected works contain important ideas that have had far-reaching consequences for nearly all branches of mathematics, thus etching his name in mathematics forever. Unfortunately, he died at a tender age of 20. The work he did as a teenager is now being used by mathematicians around the world for their doctorate studies and related research work. Prodigy indeed! Just so we are clear, this blog post has nothing to do with corn fields. Well then, what else can it be about?   Continue reading