Wieferich pairs and Barker sequences, II

DOI10.1112/S1461157013000223zbMath1355.11018arXiv1306.0045OpenAlexW3102541665MaRDI QIDQ5170247

Michael J. Mossinghoff, Peter B. Borwein

Publication date: 23 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.0045

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83) Software, source code, etc. for problems pertaining to combinatorics (05-04)

Related Items

Eigenvalues of Circulant Matrices and a Conjecture of Ryser ⋮ New duality operator for complex circulant matrices and a conjecture of Ryser ⋮ Barker sequences of odd length ⋮ Cocyclic Hadamard matrices over Latin rectangles ⋮ The anti-field-descent method ⋮ A note on Barker sequences and the \(L_1\)-norm of Littlewood polynomials ⋮ Sequences with small correlation

Cites Work

• New restrictions on possible orders of circulant Hadamard matrices
• A new restriction on the lengths of Golay complementary sequences
• Wieferich pairs and Barker sequences
• A note on the nonexistence of Barker sequences
• The field descent method
• Character sums and difference sets
• Cyclotomic integers and finite geometry
• Enumeration of the Elementary Circuits of a Directed Graph