On the existence of abelian Hadamard difference sets and a new family of difference sets
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Publication:1266426
DOI10.1006/ffta.1997.0184zbMath0907.05013OpenAlexW2072618862MaRDI QIDQ1266426
Publication date: 2 March 1999
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/ffta.1997.0184
Related Items (25)
Cyclotomic integers and finite geometry ⋮ A unifying construction for difference sets ⋮ Equiangular tight frames from group divisible designs ⋮ Difference sets with few character values ⋮ Partial difference sets and amorphic group schemes from pseudo-quadratic bent functions ⋮ Partial geometric designs having circulant concurrence matrices ⋮ Constructions of difference sets in nonabelian 2-groups ⋮ Unnamed Item ⋮ Paley partial difference sets in groups of order \(n^{4}\) and \(9n^{4}\) for any odd \(n>1\) ⋮ Unnamed Item ⋮ A framework for constructing partial geometric difference sets ⋮ Relative difference sets fixed by inversion and Cayley graphs ⋮ Paley type sets from cyclotomic classes and Aarasu-Dillon-Player difference sets ⋮ On abelian \((2^{2m+1}(2^{m - 1}+1),2^{m}(2^{m}+1),2^{m})\)-difference sets ⋮ A new method for constructing Williamson matrices ⋮ Strongly regular graphs with parameters \((4m^{4},2m^{4}+m^{2},m^{4}+m^{2},m^{4}+m^{2})\) exist for all \(m>1\) ⋮ Paley type partial difference sets in non \(p\)-groups ⋮ Generalized constructions of Menon-Hadamard difference sets ⋮ New constructions of Hadamard matrices ⋮ New constructions of strongly regular Cayley graphs on abelian non \(p\)-groups ⋮ Nonexistence results on Chen and Davis-Jedwab difference sets ⋮ Highly nonlinear mappings ⋮ Square \((1,-1)\)-matrices with large determinants and near-Hadamard matrices ⋮ Recent progress in algebraic design theory ⋮ Relative difference sets fixed by inversion. II: Character theoretical approach
Cites Work
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- A special class of Williamson matrices and difference sets
- Uniform cyclotomy
- Some infinite classes of special Williamson matrices and difference sets
- A unifying construction for difference sets
- Finite geometry and character theory
- On Xia's construction of Hadamard difference sets
- Character sums and difference sets
- A family of difference sets in non-cyclic groups
- The Geometry of Two-Weight Codes
- A family of difference sets
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