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17 - Rational points of the curve over

Published online by Cambridge University Press:  18 December 2014

Ferruh Özbudak
Affiliation:
Middle East Technical University, Ankara
Zülfükar Saygı
Affiliation:
TOBB, University of Economics and Technology, Ankara
Gerhard Larcher
Affiliation:
Johannes Kepler Universität Linz
Friedrich Pillichshammer
Affiliation:
Johannes Kepler Universität Linz
Arne Winterhof
Affiliation:
Austrian Academy of Sciences, Linz
Chaoping Xing
Affiliation:
Nanyang Technological University, Singapore
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Publisher: Cambridge University Press
Print publication year: 2014

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References

[1] R. S., Coulter, Explicit evaluations of some Weil sums. Acta Arith. 83, 241–251, 1998.Google Scholar
[2] I., Duursma, H., Stichtenoth and C., Voss, Generalized Hamming weights for duals of BCH, and maximal algebraic function fields. In: R., Pellikaan, M., Perret and S. G., Vladut (eds.), Arithmetic Geometry and Coding Theory, pp. 53–65. de Gruyter, Berlin, 1996.
[3] C., Güneri and F., Özbudak, Improvements on generalized Hamming weights of some trace codes. Des. Codes Cryptogr. 39(2), 215–231, 2006.Google Scholar
[4] C., Güneri and F., Özbudak, Weil–Serre type bounds for cyclic codes. IEEE Trans. Inf. Theory 54(1), 5381–5395, 2008.Google Scholar
[5] A., Klapper, Cross-correlations of quadratic form sequences in odd characteristic. Des. Codes Cryptogr. 11(3), 289–305, 1997.Google Scholar
[6] R., Lidl and H., Niederreiter, Finite Fields. Cambridge University Press, Cambridge, 1997.
[7] H., Niederreiter and C., Xing, Rational Points on Curves over Finite Fields: Theory and Applications. Cambridge University Press, Cambridge, 2001.
[8] H., Niederreiter and C., Xing, Algebraic Geometry in Coding Theory and Cryptography. Princeton University Press, Princeton, NJ, 2009.
[9] H., Stichtenoth, Algebraic Function Fields and Codes. Springer-Verlag, Berlin, 2009.
[10] M. A., Tsfasman, S. G., Vladut and D., Nogin, Algebraic Geometric Codes: Basic Notions. American Mathematical Society, Providence, RI, 2007.

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