Codes and Designs (eBook)

Frontmatter 1
Table of contents 7
Highlights of Dijen Ray-Chaudhuri’s research 11
On the p-ranks of GMW difference sets 19
Characterization of maximal rational circulant association schemes 47
Face-regular polyhedra and tilings with two combinatorial types of faces 59
Geometry, codes and difference sets: exceptional connections 83
A singular direct product for bicolorable Steiner triple systems 97
On semi-regular relative difference sets in non-abelian p-groups 109
Every .-design on 6p + 1 points is type-1 119
An introduction to balanced network flows 135
On the .-design conjecture for v = 5p + 1 points 155
On a class of twin balanced incomplete block designs 167
Decoding some doubly-even self-dual [32, 16, 8] codes by hand 175
On the maximum size of a hole in an incomplete t-wise balanced design with specified minimum block size 189
On a family of cocyclic Hadamard matrices 197
A mass formula for Type II codes over finite fields of characteristic two 217
A posteriori probability decoding through the discrete Fourier transform and the dual code 225
Subdesigns of symmetric designs 247
Linear codes over F2 + uF2 and their complete weight enumerators 269
On single-deletion-correcting codes 283
Critical problems in finite vector spaces 303
Existence of Steiner systems that admit automorphisms with large cycles 315
Rainbow graphs 323
Backmatter 331

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"The topics ranged from Coding Theory, Design Theory, Geometry and Optimazation to Graph Theory, reflecting the wide range of areas to which Professor Ray-Chaudhuri has made substantial contributions during his exemplary career."
Thierry Lucas in: Bulletin of the Belgian Mathematical Society 2/2007