(Finite) Fields — A Primer
So far on this blog we’ve given some introductory notes on a few kinds of algebraic structures in mathematics (most notably groups and rings, but also monoids). Fields are the next natural step in the...
View ArticleProgramming with Finite Fields
Back when I was first exposed to programming language design, I decided it would be really cool if there were a language that let you define your own number types and then do all your programming...
View ArticleThe Welch-Berlekamp Algorithm for Correcting Errors in Data
In this post we’ll implement Reed-Solomon error-correcting codes and use them to play with codes. In our last post we defined Reed-Solomon codes rigorously, but in this post we’ll focus on intuition...
View ArticleA parlor trick for SET
Tai-Danae Bradley is one of the hosts of PBS Infinite Series, a delightful series of vignettes into fun parts of math. The video below is about the same of SET, a favorite among mathematicians....
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