Reed-Solomon Codes: An Application of Linear Algebra
SMC Affiliated Work
School of Science
DIMACS Educational Modules Series
This module provides a brief introduction to the theory of error-detecting and error-correcting codes, with special emphasis on the Reed-Solomon codes. Several different methods of defining codes and decoding are presented, and the parameters of these codes and their significance in practice are discussed. Simple, concrete examples are studied first before more general families of codes are considered. Throughout the module, concepts and results from Linear Algebra and (to a lesser degree) Abstract Algebra are used to define and analyze these codes.
Linear Algebra, Abstract Algebra
Computer Sciences | Mathematics
Luquet, L., Sauerberg, J., & Leonardhi, S. (2008). Reed-Solomon codes: An application of linear algebra. DIMACS Educational Modules Series, 08-2.
Leonhardi, Steven; Luquet, Lidia; and Sauerberg, Jim. Reed-Solomon Codes: An Application of Linear Algebra (2008). DIMACS Educational Modules Series. 8 (2), [article]. https://digitalcommons.stmarys-ca.edu/school-science-faculty-works/263