In my second year of university, I took an Algebraic Structures course taught by Professor Fady Alajaji. The course went over various Number Theory and Group Theory topics and showed their application in Error Correction. In the course we were taught about Hamming Error Correction and also error correction using Syndrome Error Decoding. For those curious, Syndrome Error Decoding is pillar of developing Golay Codes which were an instrumental part of NASA's Voyager spacecraft communication systems.
I was really interested in syndrome error decoding, so I decided to write a program that does error correction on text data. My research showed that there no general Python libraries that developed a general (n, k) linear code. Most of the code examples I found implemented parity bit checking of a specific sized linear code or were just implementations of a Golay code.
I developed an open source module that automatically generates any (n,k) linear code. This includes automatically generating a generator matrix, a syndrom error decoding table along with functions to encode and decode information.
Accompanied with my module is an example of its application to ASCII text by converting the ASCII text to fixed length binary codes.
Recently I took a course about information theory so I might use the module to add a compression layer to compress ASCII data using fixed length block codes and see how that impacts overall performance. I have plans down the road to make a generalized info theory module.