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Permutations from APN power functions over F 2 2n
- Source :
- 网络与信息安全学报, Vol 3, Pp 72-76 (2017)
- Publication Year :
- 2017
- Publisher :
- POSTS&TELECOM PRESS Co., LTD, 2017.
-
Abstract
- APN functions have the lowest differential uniform over finite fields with characteristic 2 and the APN power functions are the most classical ones.APN power functions are all 3-1 functions over F 2 2n .By generalizing the idea of changing 2-1 functions to 1-1 functions over finite fields with odd characteristics,methods to change 3-1 functions over finite fields with even characteristics into permutations were obtained and permutations from APN power functions over F 2 2n were constructed.According to the construction,the differential properties of permutations obtained by this method were discussed.
Details
- Language :
- English, Chinese
- ISSN :
- 2096109X
- Volume :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- 网络与信息安全学报
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.32d2b1dc9ee34125be185871568bf269
- Document Type :
- article
- Full Text :
- https://doi.org/10.11959/j.issn.2096-109x.2017.00203