MathDL - The MAA Mathematical Sciences Digital Library
Search

Search MAA Writing Awards:

Keyword

  Advanced Search
The Mathematical Association of America
The National Science Digital Library Project
The National Science Foundation
Register Sign In

MAA Writing Awards

Error Correcting Codes and Invariant Theory: New Applications of a 19th Century Technique

by Neil J.A. Sloane

Year of Award: 1978

Award: Lester R. Ford, and also the Chauvenet Prize in 1979

Publication Information: The American Mathematical Monthly, vol. 84, 1977, pp. 82-107

Summary: A nineteenth century technique, invariant theory, has recently been used to study error-correcting codes. This technique is potentially of much wider application, is very powerful, often produces startling results, and (not least) is fun to use.

Read the Article: 

About the Author: Neil J.A. Sloane received his Ph.D. in Electrical Engineering from Cornell University in 1967. After two years as an assistant professor there, he joined AT&T Bell Labs (now AT&T Shannon Labs), where he has been ever since.  He is the author or coauthor of books on error-correcting codes, sphere packing, integer sequences, optics, and rock climbing.  He is a member of the National Academy of Engineering, an AT&T Fellow and an IEEE Fellow. He has received numerous awards, including the Chauvenet Prize of the MAA, the IEEE Hamming Medal and the Shannon Award of the IEEE Information Theory Society.

 


MathDL Homepage MathDL Homepage National Science Digital Library The Mathematical Association of America