Maximal hyperelliptic curves of genus three
نویسندگان
چکیده
Article history: Received 24 June 2008 Revised 29 January 2009 Available online 27 February 2009 Communicated by H. Stichtenoth This note contains general remarks concerning finite fields over which a so-called maximal, hyperelliptic curve of genus 3 exists. Moreover, the geometry of some specific hyperelliptic curves of genus 3 arising as quotients of Fermat curves, is studied. In particular, this results in a description of the finite fields over which a curve as studied here, is maximal. © 2009 Elsevier Inc. All rights reserved.
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ورودعنوان ژورنال:
- Finite Fields and Their Applications
دوره 15 شماره
صفحات -
تاریخ انتشار 2009