On the pseudorandomness of binary and quaternary sequences linked by the Gray mapping

DOI10.1007/S10998-010-1013-YzbMath1218.11073OpenAlexW2141028518MaRDI QIDQ532107

Radwa Marzouk, Arne Winterhof

Publication date: 26 April 2011

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-010-1013-y

zbMATH Keywords

binary sequenceslinear complexitypseudorandomnesscorrelation measurequaternary sequenceswell-distribution measurecharacter sequencesGray mapping

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Other character sums and Gauss sums (11T24) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (3)

Linear complexity profile of \(m\)-ary pseudorandom sequences with small correlation measure ⋮ On the pseudorandomness of quaternary sequences derived from sequences over \(\mathbb{F}_4\) ⋮ On the linear complexities of two classes of quaternary sequences of even length with optimal autocorrelation

Cites Work

• On finite pseudorandom sequences of \(k\) symbols.
• On finite pseudorandom sequences of \(k\) symbols
• Linear complexity profile of binary sequences with small correlation measure
• Quadriphase sequences for spread- spectrum multiple-access communication
• Binary and quadriphase sequences with optimal autocorrelation properties: a survey
• On finite pseudorandom binary sequences I: Measure of pseudorandomness, the Legendre symbol
• On finite pseudorandom binary sequences VII: The measures of pseudorandomness
• Measures of pseudorandomness for finite sequences: typical values
• Progress in Cryptology - INDOCRYPT 2003
• Construction of large families of pseudorandom binary sequences
• Unnamed Item

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