Characters and Cyclotomic Fields in Finite Geometry

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Characters and Cyclotomic Fields in Finite Geometry is written by Bernhard Schmidt and published by Springer. It's available with International Standard Book Number or ISBN identification 3540457976 (ISBN 10) and 9783540457978 (ISBN 13).

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