Bent functions, partial difference sets, and quasi-Frobenius local rings

DOI10.1023/A:1008322008395zbMath0960.05028OpenAlexW1565388220MaRDI QIDQ1581791

Xiang-Dong Hou

Publication date: 17 May 2001

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

Full work available at URL: https://doi.org/10.1023/a:1008322008395

zbMATH Keywords

partial difference setsbent functionsquasi-Frobenius local rings

Mathematics Subject Classification ID

Quasi-Frobenius rings (16L60) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (14)

Packings of partial difference sets ⋮ A ring theoretic construction of Hadamard difference sets in \(\mathbb Z^n_8 \times \mathbb Z^n_2\) ⋮ Quaternary cryptographic bent functions and their binary projection ⋮ A construction of finite Frobenius rings and its application to partial difference sets ⋮ All \(\alpha+u\beta\)-constacyclic codes of length \(np^s\) over \(\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}\) ⋮ Rings and constructions of partial difference sets ⋮ Enumeration of isomorphism classes of extensions of \(p\)-adic fields. ⋮ Lattice of ideals of the polynomial ring over a commutative chain ring ⋮ New partial difference sets in \(\mathbb{Z}_{p^2}^t\) and a related problem about Galois rings ⋮ Some results onq-ary bent functions ⋮ Finite commutative chain rings ⋮ Highly nonlinear mappings ⋮ Two generalized constructions of relative difference sets ⋮ On the groups of units of finite commutative chain rings.

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