New families of almost perfect nonlinear power mappings

Authors
Helleseth, T Rong, CM Sandberg, D
Citation
T. Helleseth et al., New families of almost perfect nonlinear power mappings, IEEE INFO T, 45(2), 1999, pp. 475-485
Citations number
13
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
45
Issue
2
Year of publication
1999
Pages
475 - 485
Database
ISI
SICI code
0018-9448(199903)45:2<475:NFOAPN>2.0.ZU;2-L
Abstract
A power mapping f(x) = x(d) over GF (p(n)) is said to be differentially k-u niform if k is the maximum number of solutions x is an element of GF (p(n)) of f (x+a) - f(x) = b where a, b is an element of GF (p(n)) and a not equa l 0. A 2-uniform mapping is called almost perfect nonlinear (APN). We const ruct several new infinite families of nonbinary APN power mappings.