an:06810609
Zbl 1411.11059
Homma, Masaaki; Kim, Seon Jeong
The second largest number of points on plane curves over finite fields
EN
Finite Fields Appl. 49, 80-93 (2018).
00372016
2018
j
11G20 13F20 14G15 14N05
finite field; basis of the ideal; plane curve
Summary: A basis of the ideal of the complement of a linear subspace in a projective space over a finite field is given. As an application, the second largest number of points of plane curves of degree \(d\) over the finite field of \(q\) elements is also given for \(d\geq q+1\).