On pseudorandom properties of some Dirichlet characters |
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Authors: | Shea-Ming Oon |
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Institution: | (1) Institut Elie Cartan de Nancy, Université Henri Poincaré, B.P. 239, 54506 Vandœuvre-lès-Nancy Cedex, France |
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Abstract: | In this paper, we try to generalize the Mauduit–Sárközy pseudorandom properties of the Legendre symbol to Dirichlet characters. We prove that in our construction the well-distribution and correlation measures are as “small” as in the case of the Legendre symbol. Furthermore we provide with sufficient conditions to ensure the coincidence of two binary sequences using the Legendre symbol. |
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Keywords: | Pseudorandom Binary sequence Correlation Dirichlet’ s characters |
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