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
Difference Sets and Recursion Theory
✍ Scribed by James H. Schmerl
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 411 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
✦ Synopsis
recursively enumerable set but which is not the difference set of any recursive set.
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Building sets are a successful tool for constructing semi-regular divisible difference sets and, in particular, semi-regular relative difference sets. In this paper, we present an extension theorem for building sets under simple conditions. Some of the semi-regular relative difference sets obtained
## Abstract The existence of Hadamard difference sets has been a central question in design theory. Reversible difference sets have been studied extensively. Dillon gave a method for finding reversible difference sets in groups of the form (__C__)^2^. DRAD difference sets are a newer concept. Davis