On almost perfect nonlinear mappings over Fn2

被引：0
|
作者：
Berger, TP [1 ]
Canteaut, A [1 ]
Charpin, P [1 ]
Laigle-Chapuy, Y [1 ]
机构：
[1] LACO, Fac Sci Limoges, F-87060 Limoges, France
来源：
2005 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), VOLS 1 AND 2 | 2005年
关键词：
D O I：
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中图分类号：
TN [电子技术、通信技术];
学科分类号：
0809 ;
摘要：
We investigate some open problems on Almost Perfect Nonlinear (APN) functions over a finite field of characteristic 2. We provide a new characterization of APN mappings and of APN permutations by means of their component functions. We also focus on the case of quadratic functions. Most notably, we prove that a class of quadratic functions cannot be APN. Our result strengthens the conjecture that all quadratic APN functions are power functions, up to equivalence.
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页码：2002 / 2006
页数：5
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