Work

Algebra in Algorithmic Coding Theory

Year: 2025
Type: preprint
Abstract: We survey the notion and history of error-correcting codes and the algorithms needed to make them effective in information transmission. We then give some basic as well as more modern constructions of, and algorithms for, error-correcting codes that depend on relatively simple elements of applied algebra. While the role of algebra in the constructions of codes has been widely acknowledged in texts and other writings, the role in the design of algorithms is often less widely understood, and this survey hopes to reduce this difference to some extent.
Author: Sudan, Madhu
Open Access status: green
OpenAlex ID: W7110787779
Cites:
Cited by:
Related to: