Barker sequences and flat polynomials

DOI10.1017/CBO9780511721274.007zbMath1266.11051MaRDI QIDQ3166370

Michael J. Mossinghoff, Peter B. Borwein

Publication date: 11 October 2012

Published in: Number Theory and Polynomials (Search for Journal in Brave)

zbMATH Keywords

Littlewood polynomialsBarker sequence\(L_p\) normflat polynomialsaperiodic autocorrelationsexistence of polynomials with \(\pm 1\) coefficientspolynomial with very large Mahler's measure

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Special sequences and polynomials (11B83) Polynomials and rational functions of one complex variable (30C10) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (9)

A generalization of circulant Hadamard and conference matrices ⋮ Lyapunov exponents for binary substitutions of constant length ⋮ A note on Barker sequences and the \(L_1\)-norm of Littlewood polynomials ⋮ Spectral structures and topological methods in mathematical quasicrystals. Abstracts from the workshop held October 1--7, 2017 ⋮ Binary Constant-Length Substitutions and Mahler Measures of Borwein Polynomials ⋮ A NOTE ON BARKER POLYNOMIALS ⋮ 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

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