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The $a$-number of jacobians of certain maximal curves | ||
| Transactions on Combinatorics | ||
| دوره 10، شماره 2، شهریور 2021، صفحه 121-128 اصل مقاله (234.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2021.124678.1758 | ||
| نویسندگان | ||
| vahid Nourozi1؛ Saeed Tafazolian* 2؛ Farhad Rahamti1 | ||
| 1Faculty of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave., Tehran 15914, Iran | ||
| 2IMECC/UNICAMP, R. Sergio Buarque de Holanda, 651, Cidade Universitaria,, Zeferino Vaz, 13083-859, Campinas, SP, Brazil | ||
| چکیده | ||
| In this paper, we compute a formula for the $a$-number of certain maximal curves given by the equation $y^{q}+y=x^{\frac{q+1}{2}}$ over the finite field $\mathbb{F}_{q^2}$. The same problem is studied for the maximal curve corresponding to $\sum_{t=1}^s y^{q/2^t}=x^{q+1}$ with $q=2^s$, over the finite field $\mathbb{F}_{q^2}$. | ||
| کلیدواژه‌ها | ||
| $a$-number؛ Cartier operator؛ Super-singular Curves؛ Maximal Curves | ||
| مراجع | ||
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