Constructions of low rank relative difference sets in 2-groups using Galois rings
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Publication:1570225
DOI10.1006/ffta.1999.0275zbMath0965.05025OpenAlexW2083792805MaRDI QIDQ1570225
Publication date: 2 August 2001
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/ffta.1999.0275
Related Items (6)
Packings of partial difference sets ⋮ Linking systems in nonelementary abelian groups ⋮ The Gauss sums and Jacobi sums over Galois ring \(\mathrm{GR}(p^2,r)\) ⋮ An invariant for quadratic forms valued in Galois rings of characteristic 4 ⋮ New partial difference sets in \(\mathbb{Z}_{p^2}^t\) and a related problem about Galois rings ⋮ A family of partial difference sets with Denniston parameters in nonelementary abelian 2-groups
Cites Work
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- A survey of partial difference sets
- Some new difference sets
- A unifying construction for difference sets
- Quadratic forms, generalized Hamming weights of codes and curves with many points
- A new family of relative difference sets in \(2\)-groups
- Character sums and difference sets
- Constructions of partial difference sets and relative difference sets using Galois rings. II
- The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
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