A Study of arithmetic functions and zeta functions related to the cryptography and coding theory
| Project/Area Number |
26400028
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Kindai University |
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Principal Investigator |
CHINEN Koji 近畿大学, 理工学部, 准教授 (30419486)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | ゼータ関数 / リーマン予想 / 数論的関数 / 線型符号 / 自己双対符号 / 重み多項式 / 剰余位数 / 原始根分布 / 暗号 / 符号 / 原始根 |
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| Outline of Final Research Achievements |
The error-correcting codes, which are indispensable for the communication, have several aspects related to pure mathematics. In this study, the author investigates one such aspect, "zeta functions for linear codes" and related topics. More precisely, the author finds new families of divisible formal weight enumerators and studies their properties.
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Report
(5 results)
Research Products
(4 results)
