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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This volume contains the proceedings of a May 2000 conference held at Ohio State U., which included 14 presentations by either former students of Dijen Ray-Chaudhuri or other mathematicians with strong personal and professional ties with him. Twenty-two contributions cover a range of topics, including coding theory, design theory, geometry and optimization, and graph theory. A sampling of topics: highlights of Dijen Ray- Chaudhuris' research, on the p-ranks of GMW difference sets, characterization of maximal ...
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Overview

This volume contains the proceedings of a May 2000 conference held at Ohio State U., which included 14 presentations by either former students of Dijen Ray-Chaudhuri or other mathematicians with strong personal and professional ties with him. Twenty-two contributions cover a range of topics, including coding theory, design theory, geometry and optimization, and graph theory. A sampling of topics: highlights of Dijen Ray- Chaudhuris' research, on the p-ranks of GMW difference sets, characterization of maximal rational circulant associate schemes, an introduction to balanced network flows, a class of twin balanced incomplete block designs, a family of cocyclic Hadamard matrices, single-deletion-correcting codes, critical problems in finite vector spaces, and rainbow graphs. No subject index. Annotation c. Book News, Inc., Portland, OR
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Product Details

Table of Contents

Preface
Highlights of Dijen Ray-Chaudhuri's research 1
On the p-ranks of GMW difference sets 9
Characterization of maximal rational circulant association schemes 37
Face-regular polyhedra and tilings with two combinatorial types of faces 49
Geometry, codes and difference sets: exceptional connections 73
A singular direct product for bicolorable Steiner triple systems 87
On semi-regular relative difference sets in non-abelian p-groups 99
Every [lambda]-design on 6p+1 points is type-1 109
An introduction to balanced network flows 125
On the [lambda]-design conjecture for v = 5p + 1 points 145
On a class of twin balanced incomplete block designs 157
Decoding some doubly-even self-dual [32, 16, 8] codes by hand 165
On the maximum size of a hole in an incomplete t-wise balanced design with specified minimum block size 179
On a family of cocyclic Hadamard matrices 187
A mass formula for Type II codes over finite fields of characteristic two 207
A posteriori probability decoding through the discrete Fourier transform and the dual code 215
Subdesigns of symmetric designs 237
Linear codes over F[subscript 2] + uF[subscript 2] and their complete weight enumerators 259
On single-deletion-correcting codes 273
Critical problems in finite vector spaces 293
Existence of Steiner systems that admit automorphisms with large cycles 305
Rainbow graphs 313
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