Sequences with small correlation (Q908049)

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Language	Label	Description	Also known as
English	Sequences with small correlation	scientific article

Statements

scholarly article

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Sequences with small correlation (English)

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Kai-Uwe Schmidt

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Designs, Codes and Cryptography

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publication date

2 February 2016

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full work available at URL

https://arxiv.org/abs/1602.03722

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zbMATH Keywords

aperiodic

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autocorrelation

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Barker sequences

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difference set

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Golay sequence

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MaRDI profile type

MaRDI publication profile

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Typical peak sidelobe level of binary sequences

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Almost difference sets and their sequences with optimal autocorrelation

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Efficient Optimization of the Merit Factor of Long Binary Sequences

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Binary pulse compression codes

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Computational excursions in analysis and number theory

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Merit Factors of Character Polynomials

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A complete description of Golay pairs for lengths up to 100

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Rudin-Shapiro-like polynomials in $L_{4}$

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Wieferich pairs and Barker sequences, II

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On a new class of Hadamard determinants

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A note on Table I of ``Barker sequences and difference sets''

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Binary sequences with optimal autocorrelation

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Polyphase codes with good periodic correlation properties (Corresp.)

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Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes

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New cyclic difference sets with Singer parameters

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Several classes of binary sequences with three-level autocorrelation

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Bounds on the growth rate on the peak sidelobe level of binary sequences

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Barker sequences and difference sets

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A new restriction on the lengths of Golay complementary sequences

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On Golay polynomial pairs

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Gauss sums, Jacobi sums, and \(p\)-ranks of cyclic difference sets

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Small Golay sequences

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A Framework for the Construction ofGolay Sequences

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A multi-dimensional approach to the construction and enumeration of Golay complementary sequences

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A new source of seed pairs for Golay sequences of length \(2^m\)

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Quaternary Golay sequence pairs. II: Odd length

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A class of finite binary sequences with alternate auto-correlation values equal to zero (Corresp.)

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Some New Difference Sets

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Merit factors of polynomials derived from difference sets

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A Survey of Difference Sets

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

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Determination of the merit factor of Legendre sequences

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Aperiodic correlations and the merit factor of a class of binary sequences (Corresp.)

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A Survey of the Merit Factor Problem for Binary Sequences

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Advances in the merit factor problem for binary sequences

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Littlewood polynomials with small \(L^4\) norm

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A construction of binary Golay sequence pairs from odd‐length Barker sequences

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The peak sidelobe level of families of binary sequences

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The merit factor of binary sequences related to difference sets

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Perfect and almost perfect sequences

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Generalized bent functions and their properties

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A class of balanced binary sequences with optimal autocorrelation properties

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Exhaustive Search for Optimal Minimum Peak Sidelobe Binary Sequences up to Length 80

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The field descent method

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New restrictions on possible orders of circulant Hadamard matrices

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The anti-field-descent method

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On the Mean Values of Certain Trigonometrical Polynomials

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On the mean values of certain trigonometrical polynomials. II

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On Polynomials ∑±nzm,∑eαminzm,z=e0i

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Difference sets and hyperovals

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On finite pseudorandom binary sequences I: Measure of pseudorandomness, the Legendre symbol

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Merit Factor of Chu Sequences and Best Merit Factor of Polyphase Sequences

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Autocorrelations of Random Binary Sequences

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On the Correlation Function of Random Binary Sequences

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Wieferich pairs and Barker sequences

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Aperiodic autocorrelation and crosscorrelation of polyphase sequences

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An L 1 Extremal Problem for Polynomials

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The L 4 Norm of a Polynomial with Coefficients ± 1

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Binary pseudorandom sequences of period 2/sup m/-1 with ideal autocorrelation generated by the polynomial z/sup d/+(z+1)/sup d/

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On Orthogonal Matrices

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Some Theorems on Fourier Coefficients

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An upper bound on the aperiodic autocorrelation function for a maximal-length sequence (Corresp.)

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Cyclotomic integers and finite geometry

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Characters and cyclotomic fields in finite geometry

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Binary Sequences With Small Peak Sidelobe Level

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On Random Binary Sequences

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On a problem due to Littlewood concerning polynomials with unimodular coefficients

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The peak sidelobe level of random binary sequences

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Barker sequences of odd length

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GMW sequences (Corresp.)

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A Theorem in Finite Projective Geometry and Some Applications to Number Theory

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The correlation function of a sequence of roots of 1 (Corresp.)

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On Binary Sequences

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Character sums and difference sets

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Hadamard matrices, Baumert-Hall units, four-symbol sequences, pulse compression, and surface wave encodings

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10623-015-0154-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:908049

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