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A note on the moments of Kloosterman sums

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract

It is well known that Kloosterman sums have many important applications in many subjects, such as finding the roots of an equation over finite fields or the rational points on an algebraic curve, determining the weight distributions of some algebraic geometric codes, calculating some exponential sums in number theory etc. We provide some new identities and results on the moments of Kloosterman sums.

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Authors and Affiliations

  1. School of Mathematical Sciences, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, People’s Republic of China

    Xiwang Cao

  2. State Key Laboratory of Information Security, 100049, Beijing, People’s Republic of China

    Xiwang Cao

Authors
  1. Xiwang Cao
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Correspondence to Xiwang Cao.

Additional information

Research supported by NNSF Grant 10971250, 10771100.

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Cao, X. A note on the moments of Kloosterman sums. AAECC 20, 447–457 (2009). https://doi.org/10.1007/s00200-009-0109-1

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  • DOI: https://doi.org/10.1007/s00200-009-0109-1

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