On Generalized Hamming Weights of Codes Constructed on Affine Algebraic Varieties (Special Section on Information Theory and Its Applications)
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概要
- 論文の詳細を見る
In this paper, we give lower bounds for the generalize Hamming weights of linear codes constructed on affine algebraic varieties. By introducing a number g*, which is determined by a given affine variety, we show that when the order t of generalized Hamming weights is greater than g*, the proposed lower bound agrees with their true generalize Hamming weithts. Moreover, if we use the notion of well-behaving, we can obtain a more precise bound. Finally, we compare the proposed bound and the conventional one for algebraic geometric code on the curve C_<ab>.
- 社団法人電子情報通信学会の論文
- 1998-10-25
著者
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Sakaniwa Kohichi
Department Of Communications And Integrated Systems Graduate School Of Science And Engineering Tokyo
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Sakaniwa Kohichi
Tokyo Inst. Of Technol. Tokyo Jpn
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Sakaniwa Kohichi
The Dept. Of Electrical And Electronic Eng. Tokyo Institute Of Technology
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Sakaniwa Kohichi
Department Of Electrical And Electronic Engineering Tokyo Institute Of Technology
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Shibuya Tomoharu
Department of Information and Communication Sciences, Sophia University
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MIZUTANI Jiro
Chubu Electric Power Company
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Sakaniwa Kohichi
Departmen Of Communications And Integrated Systems Tokyo Institute Of Technology
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Shibuya T
National Inst. Multimedia Education Chiba Jpn
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Sakaniwa K
Dept. Of Communications & Integrated Systems Tokyo Institute Of Technology
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Shibuya T
National Inst. Of Multimedia Education Chiba‐shi Jpn
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Shibuya Tomoharu
Department Of Communications And Integrated Systems Tokyo Institute Of Technology
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