Generalized explicit inversive generators of small p-weight degree

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• 作者：Sara D. Cardell ; Domingo Gomez-Perez ; Jaime Gutierrez
• 关键词：11K45 ; 11K31 ; 11K38
• 刊名：Finite Fields and Their Applications
• 出版年：January, 2014
• 年：2014
• 卷：25
• 期：Complete
• 页码：316-325
• 全文大小：210 K

文摘

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.