Introduction to finite fields and their applications
Introduction to finite fields and their applications
On Z_4-Linear Goethals Codes and KloostermanSums
Designs, Codes and Cryptography - Special issue on designs and codes—a memorial tribute to Ed Assmus
The divisibility modulo 24 of Kloosterman sums on GF(2m), m odd
Journal of Combinatorial Theory Series A
On binary Kloosterman sums divisible by 3
Designs, Codes and Cryptography
On the Connection between Kloosterman Sums and Elliptic Curves
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
Monomial and quadratic bent functions over the finite fields of odd characteristic
IEEE Transactions on Information Theory
Monomial bent functions and Stickelberger's theorem
Finite Fields and Their Applications
The divisibility modulo 24 of Kloosterman sums on GF(2m), m even
Finite Fields and Their Applications
On ternary Kloosterman sums modulo 12
Finite Fields and Their Applications
Minimal Polynomials and Distinctness of Kloosterman Sums
Finite Fields and Their Applications
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A result due to Helleseth and Zinoviev characterises binary Kloosterman sums modulo 8. We give a similar result for ternary Kloosterman sums modulo 9. This leads to a complete characterisation of values that ternary Kloosterman sums assume modulo 18. The proof uses Stickelberger's theorem and Fourier analysis.