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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
Published in:
Information Theory, IEEE Transactions on
(Volume:45
,
Issue:
2
)
Date of Publication: Mar 1999
- Page(s):
- 475 - 485
- ISSN :
- 0018-9448
- INSPEC Accession Number:
- 6198527
- Digital Object Identifier :
- 10.1109/18.748997
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 06 August 2002
- Issue Date :
- Mar 1999
- Sponsored by :
- IEEE Information Theory Society
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