RESEARCH ON THE ERROR-CORRECTING CODES BASED ON THE EVALUATION MAPS OF VECTOR BUNDLES
| Project/Area Number |
21540049
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Japan Women's University |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 代数幾何符号 / ベクトル束 / 代数幾何 / 誤り訂正符号 |
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| Research Abstract |
The mathematical technique of correcting the errors in the process of transmission of information is called the error-correcting codes. In the present research, we introduced a new type of error-correcting codes defined by means of the geometric objects called vector bundles on an algebraic variety and investigated their fundamental properties. As a result of our research, we have shown that it is possible to construct good codes from vector bundles which satisfy a condition called weak α-stability.
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Report
(4 results)
Research Products
(15 results)
