Codes and Designs de K. T. Arasu

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: Ohio State University Mathematical Research Institute Publications, cartea 10

K. T. Arasu

Akos Seress

Mixed media product – 31 dec 2001

This volume contains 4 surveys and 17 refereed research articles on coding theory, design theory, association schemes, algebraic graph theory, combinatorial geometry, and network flows. It is primarily recommended for researchers and graduate students interested in new developments in coding theory and design theory.

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Cuprins

Preface · Highlights of Dijen Ray-Chaudhuri's research K. T. Arasu, Henk D. L. Hollmann, Kevin Player, and Qing Xiang: On the p-ranks of GMW difference sets · Sejeong Bang and Sung-Yell Song: Characterization of maximal rational circulant association schemes · Michel Deza: Face-regular polyhedra and tilings with two combinatorial types of faces · John F. Dillon: Geometry, codes and difference sets: exceptional connections · Jeffrey H. Dinitz and Douglas R. Stinson: A singular direct product for bicolorable Steiner triple systems · Dominic Elvira and Yutaka Hiramine: On semi-regular relative difference sets in non-abelian p-groups · Nick Fiala: Every l-design on 6p + 1 points is type-1 · Christian Fremuth-Paeger and Dieter Jungnickel: An introduction to balanced network flows · Derek W. Hein and Yury J. Ionin: On the l-design conjecture for n = 5p+1 points · Hadi Kharaghani and Vladimir D. Tonchev: On a class of twin balanced incomplete block designs ·Jon-Lark Kim and Vera Pless: Decoding some doubly-even self-dual [32,16,8] codes by hand · Donald L. Kreher and Rolf S. Rees: On the maximum size of a hole in an incomplete t-wise balanced design with specified minimum block size · Warwick de Launey: On a family of cocyclic Hadamard matrices · Akihiro Munemasa: A mass formula for Type II codes over finite fields of characteristic two · Erin J. Schram: A posteriori probability decoding through the discrete Fourier transform and the dual code · Mohan Shrikhande: Subdesigns of symmetric designs · Irfan Siap: Linear codes over F2+uF2 and their complete weight enumerators · N. J. A. Sloane: On single-deletion-correcting codes · Zhe-Xian Wan: Critical problems in finite vector spaces · Richard M. Wilson: Existence of Steiner systems that admit automorphisms with large cycles · Andrew J. Woldar: Rainbow graphs