Generalized explicit inversive generators of small p-weight degree |
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| Institution: | 1. Departamento de Estadística e Investigación Operativa, Universidad de Alicante, Spain;2. Departamento de Estadística, Matemáticas y Computación, Universidad de Cantabria, Spain;3. Departamento de Matemática Aplicada y Ciencias de la Computación, Universidad de Cantabria, Spain |
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| Abstract: | Using rational functions to generate pseudorandom number sequences is a popular research topic. In this paper, we study bounds on additive character sums of a new explicit generator based on rational functions with small p-weight degree. This extends the class of functions where a nontrivial character sum bound is known. |
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| Keywords: | Finite field Pseudorandom Discrepancy |
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