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- Claude Carlet, Pascale Charpin, Victor Zinoviev
- Des. Codes Cryptogr.
- 1998

Almost bent functions oppose an optimum resistance to linear and differential cryptanalysis. We present basic properties of almost bent functions; particularly we give an upper bound on the degree.… (More)

- Pascale Charpin, Guang Gong
- IEEE Transactions on Information Theory
- 2008

This paper is devoted to the study of hyperbent functions in n variables, i.e., bent functions which are bent up to a change of primitive roots in the finite field GF(2n). Our main purpose is to… (More)

- Anne Canteaut, Pascale Charpin, Gohar M. M. Kyureghyan
- IEEE International Symposium on Information…
- 2006

We study the Boolean functions on F<sub>2En</sub>, n = 6r, of the form x rarr Tr (lambdax<sup>d</sup>) with d = 2<sup>2r</sup> + 2<sup>r</sup> + 1. Our main result is the characterization of those… (More)

- Anne Canteaut, Pascale Charpin, Hans Dobbertin
- IEEE Trans. Information Theory
- 2000

We prove the long-standing conjecture of Welch stating that for odd n=2m+1, the power function x/sup d/ with d=2/sup m/+3 is maximally nonlinear on GF(2/sup n/) or, in other terms, that the… (More)

- Paul Camion, Claude Carlet, Pascale Charpin, Nicolas Sendrier
- CRYPTO
- 1991

We establish the link between correlation-immune functions and orthogonal arrays. We give a recursive definition of any correlation-immune function of maximal degree. We describe the set of quadratic… (More)

- Anne Canteaut, Pascale Charpin, Hans Dobbertin
- SIAM J. Discrete Math.
- 2000

We study [2m-1,2m]-binary linear codes whose weights lie between w0 and 2m-w0, where w0 takes the highest possible value. Primitive cyclic codes with two zeros whose dual satisfies this property… (More)

- Céline Blondeau, Anne Canteaut, Pascale Charpin
- IEEE International Symposium on Information…
- 2010

Some properties of the differential spectra of power functions, i.e., monomials mappings on F2n, are investigated. We focus in particular on functions with a small differential uniformity and on some… (More)

- Thierry P. Berger, Pascale Charpin
- IEEE Trans. Information Theory
- 1996

The extended cyclic codes of length p/sup m/, p is a prime, which are invariant under the affine-group acting on F/sub pm/, are called affine-invariant codes. Following results of Berger (1996,… (More)

- Anne Canteaut, Claude Carlet, Pascale Charpin, Caroline Fontaine
- EUROCRYPT
- 2000

We investigate the link between the nonlinearity of a Boolean function and its propagation characteristics. We prove that highly nonlinear functions usually have good propagation properties regarding… (More)

- Daniel Augot, Pascale Charpin, Nicolas Sendrier
- IEEE Trans. Information Theory
- 1992

Primitive binary cyclic codes of length n=2/sup m/ are considered. A BCH code with designed distance delta is denoted B(n, delta ). A BCH code is always a narrow-sense BCH code. A codeword is… (More)