Kloosterman sum identities over \(\mathbb F_{2^{m}}\).

DOI10.1016/S0012-365X(03)00275-9zbMath1099.11040MaRDI QIDQ1428529

Henk D. L. Hollmann, Qing Xiang

Publication date: 29 March 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite fieldstraceKloosterman sumKloosterman polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24)

Related Items (9)

On classical Kloosterman sums ⋮ A note on the moments of Kloosterman sums ⋮ On a conjecture concerning Kloosterman polynomials ⋮ A new approach to permutation polynomials over finite fields ⋮ Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\) ⋮ New Kloosterman sum identities and equalities over finite fields ⋮ On subspaces of Kloosterman zeros and permutations of the form \(L_1(x^{-1})+L_2(x)\) ⋮ Permutation polynomials over finite fields -- a survey of recent advances ⋮ A class of permutation polynomials of \(\mathbb F_{2^m}\) related to Dickson polynomials

Cites Work

• Unnamed Item
• 3-designs from the \(\mathbb Z_4\)-Goethals codes via a new Kloosterman sum identity
• A new Kloosterman sum identity over \(F_{2^m}\) for odd \(m\).
• New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\).
• Kloosterman sums as algebraic integers
• Minimal polynomials and distinctness of Kloosterman sums

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