Lecture Notes in Mathematics

Schmidt, Bernhard

This monograph contributes to the existence theory of difference sets, cyclic irreducible codes and similar objects. The new method of field descent for cyclotomic integers of presribed absolute value is developed. Applications include the first substantial progress towards the Circulant Hadamard Matrix Conjecture and Ryser`s conjecture since decades. It is shown that there is no Barker sequence of length l with 13<1<4x10^(12). Finally, a conjecturally complete classification of all irreducible cyclic two-weight codes is obtained.

Details

Published by: Springer

Publication Date: 2002-10-23

Format: Paperback

ISBN-13: 9783540442431

DOI: 10.1007/b84213

Dimensions: 235cm x155cm

Pages: 108