Function-field codes |
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| Authors: | Dirk Hachenberger Harald Niederreiter Chaoping Xing |
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| Affiliation: | 1.Institut für Mathematik,Universit?t Augsburg,Augsburg,Germany;2.Department of Mathematics,National University of Singapore,Singapore,Singapore |
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| Abstract: | Function-field codes provide a general perspective on the construction of algebraic-geometry codes. We briefly review the theory of function-field codes and establish some new results in this theory, including a propagation rule. We show how to derive linear codes from function-field codes, thus generalizing a construction of linear codes due to Xing, Niederreiter, and Lam. The research of the second and third author was partially supported by the DSTA research grant R-394-000-025-422 with Temasek Laboratories in Singapore. |
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| Keywords: | Linear code Algebraic-geometry code Algebraic function field Function-field code |
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