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- Title
Constructions of p -ary Quadratic Bent Functions.
- Authors
Shenghua Li; Lei Hu; Xiangyong Zeng
- Abstract
Abstract Bent functions have many applications in the fields of coding theory, communications and cryptography. This paper studies the constructions of bent functions having the form for odd n and for even n, over the finite field of odd characteristic p, where . Based on the irreducibility of some polynomials on , we focus on characterizing the bent functions for n=p v q r and n=2p v q r , where is an odd prime and p a primitive root modulo q 2. Moreover, the enumerations of those functions are also considered.
- Subjects
CODING theory; MATHEMATICAL functions; FINITE element method; NUMERICAL roots
- Publication
Acta Applicandae Mathematicae, 2008, Vol 100, Issue 3, p227
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-007-9181-3