| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
The technique of error-correcting codes is an indispensable tool in the modern data transmission. Among them, the algebraic-geometric codes constructed from the geometry of algebraic varieties defined over finite fields are equipped with excellent asymptotic properties. In the present research, we proposed to establish the general theory which unifies the known algebraic-geometric codes and investigated its fundamental properties. As a result of the research, we constructed some algebraic-geometric codes of novel type from vector bundles on algebraic varieties defined over function fields or arithmetic varieties and determined their parameters.
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