| Project/Area Number |
02640194
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | The Institute of Statistical Mathematics |
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Principal Investigator |
ITOH Yoshiaki The Institute of Statistical Mathematics, professer, 教授 (60000212)
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| Co-Investigator(Kenkyū-buntansha) |
MARUYAMA Naomasa The Institute of Statistical Mathematics, assistant professer, 助教授 (60114659)
SHIMIZU Ryoichi The Institute of Statistical Mathematics, professer, 教授 (10000192)
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| Project Period (FY) |
1990 – 1991
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| Project Status |
Completed (Fiscal Year 1991)
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| Budget Amount *help |
¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1991: ¥100,000 (Direct Cost: ¥100,000)
Fiscal Year 1990: ¥700,000 (Direct Cost: ¥700,000)
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| Keywords | Golay Code / Self dual Code / Random packing / Symmetry / Stochastic construction / Computer simulation / Linguistic cypology / Golay符号 / 自己双対符号 / 幾何確率 |
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| Research Abstract |
We made research to give a stochastic construction of Golay code which is one of the most important code with very high packing density. We constructed 8 self dual codes including the Golay code, by random sequential coding. The probability of getting Golay code is estimated by computer simulation. Our problems is to calculate the probability theorestically. We studied the probability of the configuration of random points on ndimensional sphere. We obtained a theoretical result for it. The result makes the first step to our problem. The geometrical structure of the Golay code has very high symmetry, and our problem suggests the study of statistical distribution on symmetry groups for crystallography.
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