Irreducible trinomials over finite fields
Proceedings of the 2001 international symposium on Symbolic and algebraic computation
Cartesian authentication codes from functions with optimal nonlinearity
Theoretical Computer Science
APN functions in odd characteristic
Discrete Mathematics - Special issue: Combinatorics 2000
Irreducible trinomials over finite fields
Mathematics of Computation
Nonlinear functions in abelian groups and relative difference sets
Discrete Applied Mathematics - Optimal discrete structure and algorithms (ODSA 2000)
Journal of Complexity - Special issue on coding and cryptography
New Perfect Nonlinear Multinomials over F$_{p^{2k}}$ for Any Odd Prime p
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
A New Tool for Assurance of Perfect Nonlinearity
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
Nonlinear functions in abelian groups and relative difference sets
Discrete Applied Mathematics
Differentially 2-uniform cocycles: the binary case
AAECC'03 Proceedings of the 15th international conference on Applied algebra, algebraic algorithms and error-correcting codes
New binomial bent functions over the finite fields of odd characteristic
IEEE Transactions on Information Theory
New commutative semifields defined by new PN multinomials
Cryptography and Communications
Reversed Dickson polynomials over finite fields
Finite Fields and Their Applications
Necessary conditions for reversed Dickson polynomials to be permutational
Finite Fields and Their Applications
| Hi-index | 754.90 |
A power mapping f(x)=xd over GF(pn) is said to be differentially k-uniform if k is the maximum number of solutions x∈GF(pn) of f(x+a)-f(x)=b where a, b∈GF(pn ) and a≠0. A 2-uniform mapping is called almost perfect nonlinear (APN). We construct several new infinite families of nonbinary APN power mappings