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A new Kloosterman sum identity over \(F_{2^m}\) for odd \(m\).

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Publication:1398281
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DOI10.1016/S0012-365X(03)00036-0zbMath1049.11134OpenAlexW1998008160MaRDI QIDQ1398281

Wonjin Sung, Dong-Joon Shin

Publication date: 29 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(03)00036-0


zbMATH Keywords

exponential sumscharacter sumsKlosterman sums


Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05)


Related Items (5)

On classical Kloosterman sums ⋮ On a conjecture concerning Kloosterman polynomials ⋮ Kloosterman sum identities over \(\mathbb F_{2^{m}}\). ⋮ New Kloosterman sum identities and equalities over finite fields ⋮ A transform property of Kloosterman sums



Cites Work

  • On \(\mathbb{Z}_4\)-linear Goethals codes and Kloosterman sums
  • The weights of the orthogonals of the extended quadratic binary Goppa codes
  • Gauss sums over finite fields of order $2^n$




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