A transform property of Kloosterman sums

DOI10.1016/J.DAM.2010.02.012zbMath1268.11107OpenAlexW2036081567MaRDI QIDQ708340

Theo Garefalakis, Ian F. Blake

Publication date: 11 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.dam.2010.02.012

zbMATH Keywords

finite fieldcharacter sumKloosterman sumMelas code

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials over finite fields (11T06) Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (1)

On classical Kloosterman sums

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponential sums and coding theory: A review
• Hecke operators and the weight distributions of certain codes
• The divisibility modulo 24 of Kloosterman sums on \(\text{GF}(2^m)\), \(m\) odd
• Distribution of the weights of the dual of the Melas code
• The divisibility modulo 24 of Kloosterman sums on \(\text{GF}(2^m)\), \(m\) even
• The weights of the dual code of the MELAS code over GF(3)
• A new Kloosterman sum identity over \(F_{2^m}\) for odd \(m\).
• On a new identity for Kloosterman sums and nonlinear system of equations over finite fields of characteristic 2.
• Irreducible polynomials over GF(2) with prescribed coefficients.
• Explicit theorems on generator polynomials
• Kloosterman sums, elliptic curves, and irreducible polynomials with prescribed trace and norm
• A duality theorem for the weight distribution of some cyclic codes
• Families of curves and weight distributions of codes
• Kloosterman sums and finite field extensions

This page was built for publication: A transform property of Kloosterman sums