On the minimum distance of algebraic geometry codes

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Taşkın, İhsan (2008) On the minimum distance of algebraic geometry codes. [Thesis]

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In the literature about algebraic geometry codes one finds a lot of results improving Goppa's minimum distance bound. These improvements often use the idea of "shrinking" or "growing" the defining divisors of the codes under certain technical conditions. The main contribution of this thesis is to show that most of these improvements can be obtained in a unified way from one theorem. Our results do not only simplify previous results but they also improve them further.

Item Type:Thesis
Uncontrolled Keywords:Function fields. -- Algebraic geometry codes. -- Minimum distance of codes. -- Goppa bound. -- Fonksiyon cisimleri. -- Cebirsel geometri kodları. -- Kodların minimum uzaklığı. -- Goppa sınırı.
Subjects:Q Science > QA Mathematics
ID Code:14043
Deposited By:IC-Cataloging
Deposited On:16 Jun 2010 15:24
Last Modified:25 Mar 2019 16:59

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