2017 Fiscal Year Final Research Report
Study of Linear Codes for Coset Coding with Highest Security
| Project/Area Number |
26289116
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Partial Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Communication/Network engineering
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| Research Institution | Nagoya University (2017)
Tokyo Institute of Technology (2014-2016) |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
萩原 学 千葉大学, 大学院理学研究院, 准教授 (80415728)
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| Research Collaborator |
GEIL Olav
RUANO Diego
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Keywords | 秘密分散 / セキュアネットワーク符号化 / ネットワーク符号化 / 量子計算 / 量子情報 / 線形符号 |
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| Outline of Final Research Achievements |
Coset coding is a representative method for securing messages in an information theoretic secure way, and it usually consists of a pair of linear codes. Coset coding with linear codes is useful for secret sharing and secure network coding. But it had been unknown which linear codes are suitable. In this project, we clarified which linear codes are suitable for secret sharing and secure network coding, respectively. Moreover, we also proposed explicit constructions of suitable linear codes. As another application, we also clarified the relationship between quantum secret sharing and suitable pairs of linear codes for it.
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| Free Research Field |
情報通信工学
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