Reducing hyperarithmetic sequences
Hans Carstens (1975)
Fundamenta Mathematicae
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Hans Carstens (1975)
Fundamenta Mathematicae
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D. F. Dawson (1969)
Matematički Vesnik
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Jovan D. Kečkić (1973)
Publications de l'Institut Mathématique
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Křížek, Michal, Šolcová, Alena, Somer, Lawrence
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Henri Faure, Christiane Lemieux (2012)
Acta Arithmetica
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C. Zaremba (1963)
Applicationes Mathematicae
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Harald Niederreiter (2009)
Acta Arithmetica
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Mercer, A.McD. (1978)
International Journal of Mathematics and Mathematical Sciences
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David Boyd (1979)
Acta Arithmetica
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Lenny Jones (2012)
Acta Arithmetica
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Kit-Ho Mak, Alexandru Zaharescu (2016)
Acta Arithmetica
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In an earlier paper Gyarmati introduced the notion of f-correlation for families of binary pseudorandom sequences as a measure of randomness in the family. In this paper we generalize the f-correlation to families of pseudorandom sequences of k symbols and study its properties.
Henri Faure, Christiane Lemieux (2016)
Acta Arithmetica
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Sobol' sequences are a popular family of low-discrepancy sequences, in spite of requiring primitive polynomials instead of irreducible ones in later constructions by Niederreiter and Tezuka. We introduce a generalization of Sobol' sequences that removes this shortcoming and that we believe has the potential of becoming useful for practical applications. Indeed, these sequences preserve two important properties of the original construction proposed by Sobol': their generating matrices...