The field descent method
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Publication:2487215
DOI10.1007/s10623-004-1703-7zbMath1066.05037OpenAlexW2059196145MaRDI QIDQ2487215
Bernhard Schmidt, Ka Hin Leung
Publication date: 18 August 2005
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10220/6034
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)
Related Items (26)
Non-existence of some nearly perfect sequences, near Butson-Hadamard matrices, and near conference matrices ⋮ Formal duality in finite cyclic groups ⋮ There are no Barker arrays having more than two dimensions ⋮ Nonexistence of abelian difference sets: Lander’s conjecture for prime power orders ⋮ A Walsh–Fourier Approach to the Circulant Hadamard Conjecture ⋮ Character values of the Sidelnikov-Lempel-Cohn-Eastman sequences ⋮ The anti-field-descent method ⋮ Nonexistence results of generalized bent functions from \(\mathbb{Z}_2^n\) to \(\mathbb{Z}_m\) ⋮ New restrictions on possible orders of circulant Hadamard matrices ⋮ A note on Barker sequences and the \(L_1\)-norm of Littlewood polynomials ⋮ Quaternary Golay sequence pairs. II: Odd length ⋮ Finiteness of circulant weighing matrices of fixed weight ⋮ A direct construction of primitive formally dual pairs having subsets with unequal sizes ⋮ Sequences with small correlation ⋮ Prescribed absolute values, character sums and spectrum integrality. ⋮ Nonexistence results on generalized bent functions \(\mathbb{Z}_q^m \rightarrow \mathbb{Z}_q\) with odd \(m\) and \(q \equiv 2\pmod 4\) ⋮ Wieferich pairs and Barker sequences, II ⋮ On Lander's conjecture for difference sets whose order is a power of 2 or 3 ⋮ Unnamed Item ⋮ Binary periodic sequences with 2-level autocorrelation values ⋮ Group invariant weighing matrices ⋮ Extremal Mahler measures and $L_s$ norms of polynomials related to Barker sequences ⋮ Wieferich pairs and Barker sequences ⋮ On a class of polynomials related to Barker sequences ⋮ Recent progress in algebraic design theory ⋮ Proof of the Barker array conjecture
Uses Software
Cites Work
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- A new restriction on the lengths of Golay complementary sequences
- Planar functions, relative difference sets, and character theory
- Abelian difference sets without self-conjugacy
- New necessary conditions for the existence of difference sets without self-conjugacy
- Some new results on circulant weighing matrices
- Finite geometry and character theory
- Characters and cyclotomic fields in finite geometry
- On vanishing sums of roots of unity.
- Cyclic difference sets
- Cyclic projective planes
- Cyclotomic integers and finite geometry
- Multiplier theorems
- Nonexistence of abelian difference sets: Lander’s conjecture for prime power orders
- A nonexistence result on difference sets, partial difference sets and divisible difference sets
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