JOSEPH E. FIELDS Mathematics

PAPERS PUBLISHED IN PROCEEDINGS:

"Methods Used in the Classification of Z/(4) Codes" (with V. Pless) Proceedings of the 34th Annual Allerton Conference on Communication, Control and Computing (1996) pages 312-321.

"Split Weight Enumerators of Self-Dual Codes" (with V.\ Pless) Proceedings of the 35th Annual Allerton Conference on Communication, Control and Computing (1997) pages 422-431.

"On the classification of formally self-dual codes" (with P. Gaborit, W. C. Huffman and V. Pless) to appear in Proceedings of the 36th Annual Allerton Conference on Communication, Control and Computing.

 JOURNAL ARTICLES PUBLISHED:

"All Z/(4) Type II Codes of Length 16 Are Known" (with V. Pless and J. S. Leon) Journal of Combinatorial Theory, Series A, vol. 78, no. 1, April 1997, pages 32-50.

"All Self-Dual Z/(4) Codes of Length 15 or Less Are Known" (with P. Gaborit, J. S. Leon and V. Pless) IEEE Transactions on Information Theory, vol. 44 no. 1, January 1998, pages 311-322.

"On the non-Z/(4) linearity of certain good binary codes" (with P. Gaborit) IEEE Transactions on Information Theory, vol.\ 45 no.\ 5, July 1999, pages 1674-1677.

"On the classification of extremal even formally self-dual codes codes" (with P. Gaborit, W. C. Huffman and V. Pless) to appear in Designs, Codes and Cryptography.

"On the classification of extremal even formally self-dual codes of lengths 20 and 22" (with P. Gaborit, W. C. Huffman and V. Pless) to appear in Discrete and Applied Mathematics.

CONFERENCE PAPERS ORALLY DELIVERED:

AMS Summer Meeting
Boulder Colorado, July 1990
"Applications of Finite Differences in Number Theory"

Mathematics Department Colloquium
University of Maryland, Baltimore County, February 1994
"Projective Geometry in Computer Graphics"

IEEE International Symposium on Information Theory
Ulm Germany, June 1997
"All Self-Dual Z/(4) Codes of Length 15 or Less Are Known"

AMS Central Section Meeting
Chicago Illinois, September 1998
"Decoding the Golay Code by Hand"

RESEARCH INTERESTS IN GENERAL:

Coding Theory, Cryptography, Combinatorics.

DISSERTATION TITLE:

"On extremal self dual codes"

INSTITUTION GRANTING Ph.D.:

University of Illinois at Chicago