Let D be a planar cyclic difference set with 0 β D. Krasikov and SchΓΆnheim proposed in the problem: prove that there are elements d i , d j , d k β D -{0} such that d i + d j + d k = 0. We prove this and a little more.
A note on planar difference sets
β Scribed by H.A Wilbrink
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 101 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0097-3165
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π SIMILAR VOLUMES
Let D be a (v, k, \*)-difference set in a group G. Assume that G has a normal subgroup N such that GΓN is cyclic or nearly cyclic. Under the self-conjugacy assumption on exp(GΓN), we shall give bounds on |N| and \*. The theorem is applicable to a wider variety of parameters for groups, not necessari
Planar functions from β«ήβ¬ to β«ήβ¬ 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 β«ήβ¬ , where p and q are any