New families of almost perfect nonlinear power mappings
T Helleseth, C Rong, D Sandberg - IEEE transactions on …, 1999 - ieeexplore.ieee.org
T Helleseth, C Rong, D Sandberg
IEEE transactions on Information Theory, 1999•ieeexplore.ieee.orgA power mapping f (x)= x/sup d/over GF (p/sup n/) is said to be differentially k-uniform if k is
the maximum number of solutions x/spl isin/GF (p/sup n/) of f (x+ a)-f (x)= b where a, b/spl
isin/GF (p/sup n/) and a/spl ne/0. A 2-uniform mapping is called almost perfect nonlinear
(APN). We construct several new infinite families of nonbinary APN power mappings.
the maximum number of solutions x/spl isin/GF (p/sup n/) of f (x+ a)-f (x)= b where a, b/spl
isin/GF (p/sup n/) and a/spl ne/0. A 2-uniform mapping is called almost perfect nonlinear
(APN). We construct several new infinite families of nonbinary APN power mappings.
A power mapping f(x)=x/sup d/ over GF(p/sup n/) is said to be differentially k-uniform if k is the maximum number of solutions x/spl isin/GF(p/sup n/) of f(x+a)-f(x)=b where a, b/spl isin/GF(p/sup n/) and a/spl ne/0. A 2-uniform mapping is called almost perfect nonlinear (APN). We construct several new infinite families of nonbinary APN power mappings.
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