The characterization of elliptic curves over finite fields
1988 ◽
Vol 45
(2)
◽
pp. 275-286
◽
Keyword(s):
AbstractIn a finite Desarguesian plane of odd order, it was shown by Segre thirty years ago that a set of maximum size with at most two points on a line is a conic. Here, in a plane of odd or even order, sufficient conditions are given for a set with at most three points on a line to be a cubic curve. The case of an elliptic curve is of particular interest.
2000 ◽
Vol 4
(4)
◽
pp. 737-756
◽
1980 ◽
Vol s2-22
(2)
◽
pp. 226-238
◽