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Cross-correlations between quadratic form sequences and geometric sequences over finite fields

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Abstract

For all types of quadratic forms, the cross-correlations between geometric sequences and the newly defined quadratic form sequences are determined to extend the results presented by Klapper in 1993 and 1997. The technique for computing cross-correlations is based on counting the number of solutions for a system of equations that consists of a quadratic form and a linear function.

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Supported by the National Natural Sciences Foundation of China (10371032) and Doctor Foundation of Chinese University (20050512002).

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Yongbo, X., Li, P. Cross-correlations between quadratic form sequences and geometric sequences over finite fields. Appl. Math.- J. Chin. Univ. 21, 223–233 (2006). https://doi.org/10.1007/BF02791348

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