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GLS: New class of generalized Legendre sequences with optimal arithmetic cross-correlation

Huijuan WANGQiaoyan WENJie ZHANG — 2013

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

The Legendre symbol has been used to construct sequences with ideal cross-correlation, but it was never used in the arithmetic cross-correlation. In this paper, a new class of generalized Legendre sequences are described and analyzed with respect to their period, distributional, arithmetic cross-correlation and distinctness properties. This analysis gives a new approach to study the connection between the symbol and the arithmetic cross-correlation. In the end of this paper, possible application...

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