𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The B-ovals of order q ⩽ 8

✍ Scribed by Giorgio Faina


Book ID
103502986
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
397 KB
Volume
36
Category
Article
ISSN
0097-3165

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📜 SIMILAR VOLUMES


The nonexistence of ovals in a projectiv
✍ C.W.H. Lam; L. Thiel; S. Swiercz; J. McKay 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 325 KB

This paper reports the result of a computer search which show s that there is no oval in a projective plane of order 10. It gives a brief description of the search method as well as a brief survey of other possible configurations in a plane of order 10.

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A condition is found that determines whether a polynomial over GF(q) gives an oval in PG(2, q), q even. This shows that the set of all ovals of PG(2, q) corresponds to a certain variety of points of PG((q -4)/2, q). The condition improves upon that of Segre and Bartocci, who proved that all the term