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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
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where she spent most of her career. Although she did major research at Bell Labs, she was denied a promotion to a mathematics research position until she received a Ph.D. She would proceed to fulfill some of the PhD's requirements while working at Bell Labs and taking care of her family, but she
162:, and was one of the first women to publish in the field. MacWilliams' thesis "Combinatorial Problems of Elementary Group Theory" (or "Combinatorial Problems of Elementary Abelian Groups") contains one of the most important combinatorial results in coding theory, which is now known as the
206:. MacWilliams worked with Gleason to produce her thesis entitled "Combinatorial Problems of Elementary Group Theory". Both MacWilliams and her daughter Anne, who later obtained a PhD in Mathematics, were studying mathematics at Harvard that year.
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218:, and is how MacWilliams is known. MacWilliams' result was later critical in proving an important bound on code rate, called the 'linear programming bound'.
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288:. North-Holland Mathematical Library. Vol. 16 (digital print of 12th impression, 1st ed.). Amsterdam / London / New York / Tokyo:
229:, MacWilliams gave a solution to a difficult problem involving certain design matrices, which they published in their paper titled "On the
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From 1962 to 1976, Macwilliams produced important results on algebraic constructions and combinatorial properties of codes. She worked on
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Pollak, H. O. (February 1996), "Yueh-Gin Gung and Dr. Charles Y. Hu Award for
Distinguished Service to Andrew Gleason",
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MacWilliams, F.J.; Mann, H.B. (1 May 1968). "On the p-rank of the design matrix of a difference set".
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completed her PhD after returning to
Harvard for one more year (1961–1962), under the supervision of
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revolution in communication technology that is being played out even today".
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284:(2007) . Written at AT&T Shannon Labs, Florham Park, New Jersey, USA.
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One of MacWilliams' significant achievements was her encyclopedic book,
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354:"F. Jessie MacWilliams", Biographies of Women Mathematicians
426:"Profiles of Women in Mathematics: F. Jessie MacWilliams"
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Combinatorial problems of elementary
Abelian groups
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233:-rank of the design matrix of a difference set".
225:, generalizing them to Abelian group codes. With
154:(4 January 1917 – 27 May 1990) was an English
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186:. One year later she left Johns Hopkins for
517:"Florence Jessie Mac Williams (1917-1990)"
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635:20th-century British women mathematicians
240:, which she wrote in collaboration with
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625:Alumni of the University of Cambridge
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152:Florence Jessie Collinson MacWilliams
132:The Theory of Error-Correcting Codes,
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570:(Sixth ed.). Houghton Mifflin.
491:"MacWilliams Error Correcting Codes"
430:Association for Women in Mathematics
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286:The Theory of Error-Correcting Codes
238:The Theory of Error-Correcting Codes
605:20th-century English mathematicians
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515:Shankar, Priti (1 January 2005).
158:who contributed to the field of
610:Johns Hopkins University alumni
386:10.1080/00029890.1996.12004708
1:
568:Contemporary Abstract Algebra
469:10.1016/S0019-9958(68)90534-2
411:Mathematics Genealogy Project
373:American Mathematical Monthly
278:MacWilliams, Florence Jessiem
197:and learned coding theory at
178:, England and studied at the
282:Sloane, Neil James Alexander
214:Her formula is known as the
566:Gallian, Joseph A. (2006).
407:Florence Jessie MacWilliams
25:Florence Jessie MacWilliams
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620:People from Stoke-on-Trent
329:MacWilliams, F. J (1962).
253:In 1980 she was the first
615:Harvard University alumni
16:Mathematician, programmer
184:Johns Hopkins University
174:MacWilliams was born in
73:Johns Hopkins University
630:Scientists at Bell Labs
457:Information and Control
360:, retrieved 2013-04-05.
180:University of Cambridge
145:Daughter Anne, two sons
69:University of Cambridge
432:. 2005. Archived from
116:MacWilliams identities
71:, BA, 1938, MA, 1939,
193:In 1955 she became a
216:MacWilliams identity
170:Education and career
164:MacWilliams Identity
358:Agnes Scott College
533:10.1007/BF02835886
495:www.agnesscott.edu
316:(xxii+762+6 pages)
188:Harvard University
77:Harvard University
436:on 6 January 2014
303:978-0-444-85193-2
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127:Notable work
79:, PhD under
58:(1990-05-27)
56:May 27, 1990
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600:1990 deaths
595:1917 births
294:Elsevier BV
249:Recognition
242:Neil Sloane
136:Neil Sloane
589:Categories
527:(1): 2–3.
440:5 November
335:(Thesis).
261:References
195:programmer
95:programmer
37:1917-01-04
549:121982124
541:0973-712X
521:Resonance
477:0019-9958
227:H.B. Mann
199:Bell Labs
105:Bell Labs
47:, England
500:20 March
341:23168354
312:76-41296
142:Children
101:Employer
409:at the
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545:S2CID
390:JSTOR
134:with
572:ISBN
537:ISSN
502:2021
473:ISSN
442:2013
337:OCLC
308:LCCN
298:ISBN
114:The
53:Died
31:Born
529:doi
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.