Abstract
The explicit construction of towers with many rational places plays a key role for the construction of asymptotically good algebraic geometric codes. One way of explicitly constructing towers is given by defining them recursively via a single equation. In this paper we discuss conditions on the defining equation to give towers with many rational places and introduce a new family of such towers.
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Wulftange, J. (2004). On the Construction of Some Towers over Finite Fields. In: Mullen, G.L., Poli, A., Stichtenoth, H. (eds) Finite Fields and Applications. Fq 2003. Lecture Notes in Computer Science, vol 2948. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24633-6_13
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DOI: https://doi.org/10.1007/978-3-540-24633-6_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21324-6
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