An efficient characterization of a family of hyper-bent functions with multiple trace terms

JP Flori, S Mesnager - Journal of Mathematical Cryptology, 2013 - degruyter.com
The connection between exponential sums and algebraic varieties has been known for at
least six decades. Recently, Lisoněk exploited it to reformulate the Charpin–Gong …

[HTML][HTML] On the enumeration of irreducible polynomials over GF (q) with prescribed coefficients

R Granger - Finite Fields and Their Applications, 2019 - Elsevier
We present an efficient deterministic algorithm which outputs exact expressions in terms of n
for the number of monic degree n irreducible polynomials over F q of characteristic p for …

On classical Kloosterman sums

VA Zinoviev - Cryptography and Communications, 2019 - Springer
On classical Kloosterman sums | SpringerLink Skip to main content Advertisement SpringerLink
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Binary Kloosterman sums with value 4

JP Flori, S Mesnager, G Cohen - … , IMACC 2011, Oxford, UK, December 12 …, 2011 - Springer
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 …

The Value of Binary Kloosterman Sums

JP Flori, S Mesnager, G Cohen - 2011 - hal.science
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 …

A conjecture about Gauss sums and bentness of binomial Boolean functions

JP Flori - Arithmetic of Finite Fields: 6th International Workshop …, 2016 - Springer
In this note, the polar decomposition of binary fields of even extension degree is used to
reduce the evaluation of the Walsh transform of binomial Boolean functions to that of Gauss …

On divisibility of exponential sums of polynomials of special type over fields of characteristic 2

LA Bassalygo, VA Zinoviev - Designs, codes and cryptography, 2013 - Springer
We study the divisibility by eight of exponential sums of several classes of functions over
finite fields of characteristic two. For the binary classical Kloosterman sums K (a) over such …

Boolean functions, algebraic curves and complex multiplication

JP Flori - 2012 - pastel.hal.science
The first part is devoted to the study of a combinatorial conjecture whose validity entails the
existence of infinite classes of Boolean functions with good cryptographic properties …

[HTML][HTML] On Kloosterman sums over finite fields of characteristic 3

LA Bassalygo, VA Zinoviev - Discrete Applied Mathematics, 2017 - Elsevier
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[图书][B] Constructing Curves with Complex Multiplication Using the Chinese Remainder Theorem

S Arora - 2018 - search.proquest.com
For cryptographic protocols whose security relies on the difficulty of the discrete log problem
of the underlying group, one often wants to find a group whose order is divisible by a large …