Geometry, codes and difference sets: exceptional connections

Chapters in this book

1. Frontmatter i
2. Table of contents vii
3. Highlights of Dijen Ray-Chaudhuri’s research 1
4. On the p-ranks of GMW difference sets 9
5. Characterization of maximal rational circulant association schemes 37
6. Face-regular polyhedra and tilings with two combinatorial types of faces 49
7. Geometry, codes and difference sets: exceptional connections 73
8. A singular direct product for bicolorable Steiner triple systems 87
9. On semi-regular relative difference sets in non-abelian p-groups 99
10. Every λ-design on 6p + 1 points is type-1 109
11. An introduction to balanced network flows 125
12. On the λ-design conjecture for v = 5p + 1 points 145
13. On a class of twin balanced incomplete block designs 157
14. Decoding some doubly-even self-dual [32, 16, 8] codes by hand 165
15. On the maximum size of a hole in an incomplete t-wise balanced design with specified minimum block size 179
16. On a family of cocyclic Hadamard matrices 187
17. A mass formula for Type II codes over finite fields of characteristic two 207
18. A posteriori probability decoding through the discrete Fourier transform and the dual code 215
19. Subdesigns of symmetric designs 237
20. Linear codes over F2 + uF2 and their complete weight enumerators 259
21. On single-deletion-correcting codes 273
22. Critical problems in finite vector spaces 293
23. Existence of Steiner systems that admit automorphisms with large cycles 305
24. Rainbow graphs 313
25. Backmatter 321