New Kloosterman sum identities and equalities over finite fields

Authors:
Xiwang Cao;Henk D. L. Hollmann;Qing Xiang
Affiliations:
School of Mathematical Sciences, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China and State Key Laboratory of Information Security, Beijing 100049, PR China;Philips Research Labs, Prof. Holstlaan 4, 5656 AA Eindhoven, The Netherlands;Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA
Venue:
Finite Fields and Their Applications
Year:
2008

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Abstract

We present some general equalities between Kloosterman sums over finite fields of arbitrary characteristics. In particular, we obtain an explicit Kloosterman sum identity over finite fields of characteristic 3.