Jessie MacWilliams
Florence Jessie MacWilliams | |
---|---|
Born | MacWilliams identities in coding theory | January 4, 1917
Notable work | The Theory of Error-Correcting Codes, with Neil Sloane[1] |
Children | Daughter Anne, two sons |
Florence Jessie Collinson MacWilliams (4 January 1917 – 27 May 1990) was an English
Education and career
MacWilliams was born in Stoke-on-Trent, England and studied at the University of Cambridge, receiving her BA in 1938 and her MA in the following year.[3] She moved to the United States in 1939 and studied at Johns Hopkins University. One year later she left Johns Hopkins for Harvard University.
In 1955 she became a
Contributions
Her formula is known as the
From 1962 to 1976, Macwilliams produced important results on algebraic constructions and combinatorial properties of codes. She worked on cyclic codes, generalizing them to Abelian group codes.[6] With H.B. Mann, MacWilliams gave a solution to a difficult problem involving certain design matrices, which they published in their paper titled "On the p-rank of the design matrix of a difference set".[7]
One of MacWilliams' significant achievements was her encyclopedic book, The Theory of Error-Correcting Codes, which she wrote in collaboration with Neil Sloane[1][8] and was published in 1977. The book is stated as being "Perhaps the most comprehensive text on the algebraic and combinatorial properties of error-correcting codes, and of abiding interest to both mathematicians and engineers. It was one of the major works responsible for laying the foundation for a revolution in communication technology that is being played out even today".[9]
Recognition
In 1980 she was the first
References
- ^ LCCN 76-41296. (xxii+762+6 pages)
- ^ OCLC 23168354.
- ^ "F. Jessie MacWilliams", Biographies of Women Mathematicians, Agnes Scott College, retrieved 2013-04-05.
- JSTOR 2975102.
- ^ Florence Jessie MacWilliams at the Mathematics Genealogy Project
- ^ a b "Profiles of Women in Mathematics: F. Jessie MacWilliams". Association for Women in Mathematics. 2005. Archived from the original on 6 January 2014. Retrieved 5 November 2013.
- ISSN 0019-9958.
- ^ "MacWilliams Error Correcting Codes". www.agnesscott.edu. Retrieved 20 March 2021.
- S2CID 121982124.
Further reading
- Gallian, Joseph A. (2006). Contemporary Abstract Algebra (Sixth ed.). Houghton Mifflin. ISBN 0-618-51471-6.