A new lower bound on the family complexity of Legendre sequences

In this paper we study a family of Legendre sequences and its pseudo-randomness in terms of their family complexity. We present an improved lower bound on the family complexity of a family based on the Legendre symbol of polynomials over a finite field. The new bound depends on the Lambert W functio...

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Veröffentlicht in:Applicable algebra in engineering, communication and computing communication and computing, 2022-03, Vol.33 (2), p.173-192
Hauptverfasser: Çakıroğlu, Yağmur, Yayla, Oğuz
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Sprache:eng
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