Differentially uniform mappings for cryptography
EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
Linear cryptanalysis method for DES cipher
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, Bent Functions and Permutations Suitable For DES-likeCryptosystems
Designs, Codes and Cryptography
SIAM Journal on Discrete Mathematics
The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions
WAIFI '07 Proceedings of the 1st international workshop on Arithmetic of Finite Fields
The weights of the orthogonals of the extended quadratic binary Goppa codes
IEEE Transactions on Information Theory
New classes of almost bent and almost perfect nonlinear polynomials
IEEE Transactions on Information Theory
Classes of Quadratic APN Trinomials and Hexanomials and Related Structures
IEEE Transactions on Information Theory
Two Classes of Quadratic APN Binomials Inequivalent to Power Functions
IEEE Transactions on Information Theory
New families of quadratic almost perfect nonlinear trinomials and multinomials
Finite Fields and Their Applications
On quadratic APN functions and dimensional dual hyperovals
Designs, Codes and Cryptography
A few more quadratic APN functions
Cryptography and Communications
Designs, Codes and Cryptography
Bounds on the degree of APN polynomials: the case of x-1 + g(x)
Designs, Codes and Cryptography
CCZ-equivalence of bent vectorial functions and related constructions
Designs, Codes and Cryptography
BCBC: a more efficient MAC algorithm
ISPEC'11 Proceedings of the 7th international conference on Information security practice and experience
On known and new differentially uniform functions
ACISP'11 Proceedings of the 16th Australasian conference on Information security and privacy
A highly nonlinear differentially 4 uniform power mapping that permutes fields of even degree
Finite Fields and Their Applications
When does G(x )+γTr(H(x)) permute Fpn?
Finite Fields and Their Applications
New families of differentially 4-uniform permutations over F22k
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
| Hi-index | 0.00 |
We present a method for constructing new quadratic APN functions from known ones. Applying this method to the Gold power functions we construct an APN function x^3+tr(x^9) over F"2"^"n. It is proven that for n=7 this function is CCZ-inequivalent to the Gold functions, and in the case n=7 it is CCZ-inequivalent to any power mapping (and, therefore, to any APN function belonging to one of the families of APN functions known so far).