Coding Theory and Design Theory

Workshop : Papers

Dijen Ray-Chaudhuri (Herausgeber)

Microfilm

239 Seiten

1990
Springer-Verlag New York Inc. (Hersteller)
978-0-387-97228-2 (ISBN)

Infos

These books are based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on Applied Combinatorics. Coding Theory and Design theory are areas of combinatorics which found rich applications of algebraic structures and are closely interconnected. Coding theory has developed into a rich and beautiful example of abstract sophisticated mathematics being applied successfully to solve real-life problems of communication.

Inhalt

- Part I.- Baer subplanes, ovals and unitals.- On the length of codes with a given covering radius.- The differential encoding of coset codes by algebraic methods.- Families of codes with few distinct weights from singular and non-singular Hermitian varieties and quadrics in projective geometries and Hadamard difference sets and designs associated with two-weight codes.- Perfect multiple coverings in metric schemes.- Nonlinear feedforward sequences of m-sequences II.- Loops of clutters.- Positive independence and enumeration of codes with a given distance pattern.- Bounds on the number of pairs of unjoined points in a partial plane.- Inside Euclid’s algorithm.- Construction of designs.- Algebraic geometric codes.- Combinatorial characters of quasigroups.- Self-dual codes and self-dual designs.- The incidence algebra of a uniform poset.- Some recent results on signed graphs with least eigenvalues ? ?2.- Self-orthogonal codes and the topology of spinor groups.

Produkt-Details

• Reihe/Serie: The IMA Volumes in Mathematics and its Applications ; 20
• Zusatzinfo: Illustrations
• Verlagsort: New York, NY
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik ► Theorie / Studium
• Themenwelt: Mathematik / Informatik ► Mathematik ► Graphentheorie
• ISBN-10: 0-387-97228-5 / 0387972285
• ISBN-13: 978-0-387-97228-2 / 9780387972282
• Zustand: Neuware