Author | Schmidt, Bernhard. author |
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Title | Characters and Cyclotomic Fields in Finite Geometry [electronic resource] / by Bernhard Schmidt |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 2002 |
Connect to | http://dx.doi.org/10.1007/b84213 |
Descript | VIII, 108 p. online resource |
1. Introduction: The nature of the problems -- The combinatorial structures in question -- Group rings, characters, Fourier analysis -- Number theoretic tools -- Algebraic-combinatorial tools. 2. The field descent: The fixing theorem -- Prescribed absolute value -- Bounding the absoute value -- The modulus equation and the class group. 3. Exponent bounds: Self-conjugacy exponent bounds -- Field descent exponent bounds. 4. Two-weight irreducible cyclic bounds: A necessary and sufficient condition -- All two-weight irreducible cyclic codes?- Partial proof of Conjecture 4.2.4 -- Two-intersection sets and sub-difference sets