Planar functions from Z(n) to Z(n)

Citation
Kh. Leung et al., Planar functions from Z(n) to Z(n), J ALGEBRA, 224(2), 2000, pp. 427-436
Citations number
10
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
224
Issue
2
Year of publication
2000
Pages
427 - 436
Database
ISI
SICI code
0021-8693(20000215)224:2<427:PFFZTZ>2.0.ZU;2-F
Abstract
In this paper, we show that there are no planar functions from Z(3pq) to Z( 3pq) where p and q are distinct primes larger than 3. As a result, there ar e only two undecided cases for planar functions from Z(n) to Z(n) if n is n ot a prime and n less than or equal to 50,000. (C) 2000 Academic Press.