Abstract | ||
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Using known techniques of desingularization for singular plane projective curves over finite fields Fq, q=2m, we found several new binary plane projective curves of genus 3, 4, and 5 with the maximal number of Fq-rational points (q=2m, m=3, 4, 5, 6, 7, 8, and 9) on their smooth projective models, which are close to or meet Serre's upper bound |
Year | DOI | Venue |
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1995 | 10.1109/18.476236 | IEEE Transactions on Information Theory - Part 1 |
Keywords | DocType | Volume |
new binary plane projective,Fq-rational point,maximal number,finite field,smooth projective model,singular plane projective curve,new projective curve | Journal | 41 |
Issue | ISSN | Citations |
6 | 0018-9448 | 3 |
PageRank | References | Authors |
1.41 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
O. Moreno | 1 | 3 | 1.41 |
D. Zinoviev | 2 | 17 | 3.92 |
V. Zinoviev | 3 | 197 | 28.31 |