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International Conference on Coding and Cryptology

IWCC 2009: Coding and Cryptology pp 146–156Cite as

On Weierstrass Semigroups of Some Triples on Norm-Trace Curves

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Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5557))

Abstract

In this paper, we consider the norm-trace curves which are defined by the equation \(y^{q^{r-1}}+y^{q^{r-2}}+ \cdots +y=x^{\frac{q^r-1}{q-1}}\) over where q is a power of a prime number and r ≥ 2 is an integer. We determine the Weierstrass semigroup of the triple of points \(\left(P_{\infty}, P_{00}, P_{0b} \right)\) on this curve.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, Clemson University, Clemson, SC 29634-0975, USA

    Gretchen L. Matthews

Authors
  1. Gretchen L. Matthews
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Editor information

Editors and Affiliations

  1. National Computer Systems, Center for Information Technology,, 73 Science Park Drive, S0511, Republic of Singapore

    Yeow Meng Chee  & San Ling  & 

  2. National University of Defense Technology, 411073, Changshu Hunan, China

    Chao Li

  3. National Computer Systems, Center for Information Technology, 73 Science Park Drive, S0511, Republic of Singapore

    Huaxiong Wang  & Chaoping Xing  & 

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© 2009 Springer-Verlag Berlin Heidelberg

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Matthews, G.L. (2009). On Weierstrass Semigroups of Some Triples on Norm-Trace Curves. In: Chee, Y.M., Li, C., Ling, S., Wang, H., Xing, C. (eds) Coding and Cryptology. IWCC 2009. Lecture Notes in Computer Science, vol 5557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01877-0_13

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  • DOI: https://doi.org/10.1007/978-3-642-01877-0_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01813-8

  • Online ISBN: 978-3-642-01877-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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