✦ LIBER ✦

Planar Functions, Relative Difference Sets, and Character Theory

✍ Scribed by S.L. Ma

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 192 KB
Volume: 185
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0329

No coin nor oath required. For personal study only.

✦ Synopsis

Planar functions from ‫ޚ‬ to ‫ޚ‬ are studied in this paper. By investigating the n n character values of the corresponding relative difference sets, we obtain some nonexistence results of planar functions. In particular, we show that there is no planar functions from Z to ‫ޚ‬ , where p and q are any primes. We also show p q p q that except for four undecided cases, there is no planar function from ‫ޚ‬ to ‫ޚ‬ if n n n

is not a prime and n F 50,000.

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