On \((p^ a,p,p^ a,p^{a-1})\)-relative difference sets

DOI10.1007/BF01390771zbMath0853.05017OpenAlexW2058199550MaRDI QIDQ1894270

Bernhard Schmidt, Siu Lun Ma

Publication date: 9 December 1996

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01390771

zbMATH Keywords

relative difference set

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (11)

NON-BOOLEAN ALMOST PERFECT NONLINEAR FUNCTIONS ON NON-ABELIAN GROUPS ⋮ Nearly perfect sequences with arbitrary out-of-phase autocorrelation ⋮ Proof of a conjecture on semiregular relative difference sets in \(\mathbb {Z}_{p^2} \times \mathbb {Z}_{p^2}\) ⋮ A unifying construction for difference sets ⋮ Partial direct product difference sets and almost quaternary sequences ⋮ Relative \((p^a, p^b, p^a, p^{a-b})\)-difference sets: A unified exponent bound and a local ring construction ⋮ Asynchronous channel hopping systems from difference sets ⋮ Semiregular relative difference sets in 2-groups containing a cyclic subgroup of index 2 ⋮ Strongly regular graphs associated with ternary bent functions ⋮ Nonexistence results on Chen and Davis-Jedwab difference sets ⋮ New semiregular divisible difference sets

Cites Work

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• Using the simplex code to construct relative difference sets in 2-groups
• Relative difference sets, planar functions, and generalized Hadamard matrices
• A nonexistence result for Abelian Menon difference sets using perfect binary arrays
• Relations Among Generalized Hadamard Matrices, Relative Difference Sets, and Maximal Length Linear Recurring Sequences
• Generalized Hadamard Matrices
• Relative difference sets

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