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

Dijen Ray-Chaudhuri, Akos Seress9783110173963, 3-11-017396-4

This volume contains four surveys and 17 refereed research articles on coding theory, design theory, association schemes, algebraic graph theory, combinational geometry and network flaws. It is aimed at researchers and graduate students interested in developments in coding and design theory.

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Table of contents :
Preface……Page 6
Table of contents……Page 8
Highlights of Dijen Ray-Chaudhuri’s research……Page 12
On the p-ranks of GMW difference sets……Page 20
Characterization of maximal rational circulant association schemes……Page 48
Face-regular polyhedra and tilings with two combinatorial types of faces……Page 60
Geometry, codes and difference sets: exceptional connections……Page 84
A singular direct product for bicolorable Steiner triple systems……Page 98
On semi-regular relative difference sets in non-abelian p-groups……Page 110
Every λ-design on 6p + 1 points is type-1……Page 120
An introduction to balanced network flows……Page 136
On the λ-design conjecture for v = 5p + 1 points……Page 156
On a class of twin balanced incomplete block designs……Page 168
Decoding some doubly-even self-dual [32, 16, 8] codes by hand……Page 176
On the maximum size of a hole in an incomplete t-wise balanced design with specified minimum block size……Page 190
On a family of cocyclic Hadamard matrices……Page 198
A mass formula for Type II codes over finite fields of characteristic two……Page 218
A posteriori probability decoding through the discrete Fourier transform and the dual code……Page 226
Subdesigns of symmetric designs……Page 248
Linear codes over F2 + uF2 and their complete weight enumerators……Page 270
On single-deletion-correcting codes……Page 284
Critical problems in finite vector spaces……Page 304
Existence of Steiner systems that admit automorphisms with large cycles……Page 316
Rainbow graphs……Page 324