Abstract
We executed computer search for good parameters of linear codes on Miura curves C3 4over finite fields 2m .As a result, we obtained explicit curves of genus 3 with many rational points. We found classical non-hyperelliptic maximal curves for m = 8,10,12. We also improved the lower bound of N 128(3) to 191.
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© 2000 Kluwer Academic Publishers
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Suzuki, M. (2000). Some Explicit Curves of Genus Three Over Finite Fields of Characteristic Two with Rational Points. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0271-1_42
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DOI: https://doi.org/10.1007/978-1-4613-0271-1_42
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