The geometry of quadrics and correlations of sequences
IEEE Transactions on Information Theory
Differentially uniform mappings for cryptography
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Almost perfect nonlinear power functions on GF (2n): the Niho case
Information and Computation
Codes, graphs, and schemes from nonlinear functions
European Journal of Combinatorics
On the Non-linearity of Power Functions
Designs, Codes and Cryptography
Almost perfect nonlinear power functions on GF(2n): the Welch case
IEEE Transactions on Information Theory
Binary m-sequences with three-valued crosscorrelation: a proof of Welch's conjecture
IEEE Transactions on Information Theory
Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)
IEEE Transactions on Information Theory
A new APN function which is not equivalent to a power mapping
IEEE Transactions on Information Theory
A Proof of the Welch and Niho Conjectures on Cross-Correlations of Binary m-Sequences
Finite Fields and Their Applications
Finite Fields and Their Applications
| Hi-index | 0.00 |
A map f:F"2"^"n-F"2"^"n is called crooked if the set {f(x+a)+f(x):x@?F"2"^"n} is the complement of a hyperplane for every fixed a@?F"2"^"n^* (where F"2"^"n is considered as a vector space over F"2). We prove that the only crooked power maps are the quadratic maps x^2^^^k^+^2^^^l with gcd(n,k-l)=1.