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Kummer Curves and Their Fibre Products with Many Rational Points

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Applicable Algebra in Engineering, Communication and Computing Aims and scope

Abstract.

 We introduce an efficient method of constructing curves with many rational points. This method bases on the fine features of Kummer extensions. We obtain new curves after practical searching.

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Authors and Affiliations

  1. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan (e-mail:motoko@ms.u-tokyoac.jp), , , , , , JP

    Motoko Qiu Kawakita

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  1. Motoko Qiu Kawakita
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Received: July 23, 2002; revised version: February 5, 2003

Keywords: Algebro-geometric codes, Rational points, Kummer extensions, Fibre products.

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Kawakita, M. Kummer Curves and Their Fibre Products with Many Rational Points. AAECC 14, 55–64 (2003). https://doi.org/10.1007/s00200-003-0121-9

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  • DOI: https://doi.org/10.1007/s00200-003-0121-9

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