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A new class of hyper-bent functions and Kloosterman sums
Bent function hyper-bent functions Walsh-Hadamard transform Dickson polynomial Kloosterman sums
2014/3/5
This paper is devoted to the characterization of hyper-bent functions. Several classes of hyper-bent functions have been studied, such as Charpin and Gong's $\sum\limits_{r\in R}\mathrm{Tr}_{1}^{n} (a...
The Value $4$ of Binary Kloosterman Sums
foundations Kloosterman sums elliptic curves Boolean functions Walsh-Hadamard transform
2011/7/25
Kloosterman sums have recently become the focus of much research, most notably due to their applications in cryptography and their relations to coding theory.
The Value $4$ of Binary Kloosterman Sums
foundations / Kloosterman sums elliptic curves Boolean functions Walsh-Hadamard transform bent functions
2012/3/27
Kloosterman sums have recently become the focus of much research, most notably due to their applications in cryptography and their relations to coding theory.
Very recently Mesnager has showed that ...
Some Congruences of Kloosterman Sums and their Minimal Polynomials
Congruences of Kloosterman Sums Minimal Polynomials
2011/1/18
We prove two results on Kloosterman sums over finite fields, using Stickelberger’s theorem and the Gross-Koblitz formula. The first result concerns the minimal polynomial over Q of a Kloosterman sum, ...