Title
On Inverses of Permutation Polynomials of Small Degree Over Finite Fields.
Abstract
Permutation polynomials (PPs) and their inverses have applications in cryptography, coding theory and combinatorial design theory. In this paper, we make a brief summary of the inverses of PPs of finite fields, and give the inverses of all PPs of degree ≤ 6 over finite fields Fq for all q and the inverses of all PPs of degree 7 over F2(n). The explicit inverse of a class of fifth degree PPs is the...
Year
DOI
Venue
2020
10.1109/TIT.2019.2939113
IEEE Transactions on Information Theory
Keywords
Field
DocType
Ciphers,Computer science,Information theory,Licenses,Silicon,Galois fields
Discrete mathematics,Inverse,Finite field,Polynomial,Permutation,Coding theory,Combinatorial design,Binomial coefficient,Congruence relation,Mathematics
Journal
Volume
Issue
ISSN
66
2
0018-9448
Citations 
PageRank 
References 
1
0.37
0
Authors
3
Name
Order
Citations
PageRank
Yanbin Zheng132.80
Qiang Wang223737.93
Wenhong Wei39314.13