Nonexistence results on generalized bent functions \(\mathbb{Z}_q^m \rightarrow \mathbb{Z}_q\) with odd \(m\) and \(q \equiv 2\pmod 4\)
From MaRDI portal
Publication:1713497
DOI10.1016/j.jcta.2018.11.007zbMath1454.94150OpenAlexW2901206303MaRDI QIDQ1713497
Bernhard Schmidt, Ka Hin Leung
Publication date: 25 January 2019
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcta.2018.11.007
Related Items (5)
Nonexistence results of generalized bent functions from \(\mathbb{Z}_2^n\) to \(\mathbb{Z}_m\) ⋮ Bilinear forms on finite abelian groups and group-invariant Butson Hadamard matrices ⋮ Necessary conditions for the existence of group-invariant Butson Hadamard matrices and a new family of perfect arrays ⋮ New nonexistence results on \((m, n)\)-generalized bent functions ⋮ On the nonexistence of semi-regular relative difference sets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonexistence of generalized bent functions from \(\mathbb{Z}_{2}^{n}\) to \(\mathbb{Z}_{m}\)
- The anti-field-descent method
- Generalized bent functions and their properties
- On ``bent functions
- Generalized bent functions and class group of imaginary quadratic fields
- New results on nonexistence of generalized bent functions
- The field descent method
- Perfect nonlinear functions and cryptography
- Cyclic difference sets
- Bent-function sequences
- Cyclotomic integers and finite geometry
- ${\BBZ}_4$-Valued Quadratic Forms and Quaternary Sequence Families
- Quaternary Constant-Amplitude Codes for Multicode CDMA
- Orderly generation of Butson Hadamard matrices
- On a conjecture of R.M. Robinson about sums of roots of unity.
This page was built for publication: Nonexistence results on generalized bent functions \(\mathbb{Z}_q^m \rightarrow \mathbb{Z}_q\) with odd \(m\) and \(q \equiv 2\pmod 4\)
