Codes and Designs: Proceedings of a Conference Honoring Professor Dijen K. Ray-Chaudhuri on the Occasion of His 65th Birthday, The Ohio State University, May 18-21, 2000

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Walter de Gruyter, 2002 - Mathematics - 322 pages
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Following an initiative of the late Hans Zassenhaus in 1965, the Departments of Mathematics at The Ohio State University and Denison University organize conferences in combinatorics, group theory, and ring theory. Between May 18-21, 2000, the 25th conference of this series was held. Usually, there are twenty to thirty invited 20-minute talks in each of the three main areas. However, at the 2000 meeting, the combinatorics part of the conference was extended, to honor the 65th birthday of Professor Dijen Ray-Chaudhuri. This volulme is the proceedings of this extension. Most of the papers are in coding theory and design theory, reflecting the major interest of Professor Ray-Chaudhuri, but there are articles on association schemes, algebraic graph theory, combinatorial geometry, and network flows as well. There are four surveys and seventeen research articles, and all of these went through a thorough refereeing process. The volume is primarily recommended for researchers and graduate students interested in new developments in coding theory and design theory.

 

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Contents

Highlights of Dijen RayChaudhuris research
1
On the pranks of GMW difference sets
9
Characterization of maximal rational circulantassociation schemes
37
Faceregular polyhedra and tilings with twocombinatorial types of faces
49
exceptional connections
73
A singular direct product for bicolorableSteiner triple systems
87
On semiregular relative difference setsin nonabelian pgroups
99
Every λdesign on 6p + 1 points is type1
109
On the maximum size of a hole in an incomplete twisebalanced design with specified minimum block size
179
On a family of cocyclic Hadamard matrices
187
A mass formula for Type II codes over finite fieldsof characteristic two
207
A posteriori probability decoding through the discreteFourier transform and the dual code
215
Subdesigns of symmetric designs
237
Linear codes over F2 + uF2 and their completeweight enumerators
259
On singledeletioncorrecting codes
273
Critical problems in finite vector spaces
293

An introduction to balanced network flows
125
On the λdesign conjecture for v 5p + 1 points
145
On a class of twin balanced incomplete block designs
157
Decoding some doublyeven selfdual 32 16 8 codesby hand
165
Existence of Steiner systems that admit automorphismswith large cycles
305
Rainbow graphs
313
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