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A research on the design of public key cryptosystem over algebraic field

Research Project

Project/Area Number 16500003
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Fundamental theory of informatics
Research InstitutionYamagata University

Principal Investigator

KOBAYASHI Kunikatsu  Yamagata University, Faculty of Engineering, Professor, 工学部, 教授 (40007191)

Co-Investigator(Kenkyū-buntansha) HAYATA Takahiro  Yamagata University, Faculty of Engineering, Assistant, 工学部, 助手 (50312757)
Project Period (FY) 2004 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2005: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2004: ¥1,800,000 (Direct Cost: ¥1,800,000)
Keywordsalgebraic field / quadratic field / public key cryptosystem / knapsack cryptosystem / TSP cryptosystem / LLL algorithm / factoring algorithm / discrete log algorithm / トリボナッチ数列 / RSA暗号 / 4次体 / RSA署名 / 虚2次体 / 実2次体 / ElGamal暗号
Research Abstract

We have studied about the research on the design of public key cryptosystem over algebraic field. First, we have investigated about the evaluation of factoring complexity and discrete log complexity. Next, we have studied about speeding up of factoring algorithm and discrete log algorithm. Last, we have studied about the design of public key cryptosystem using NP complete problems.

Report

(4 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report

URL: 

Published: 2004-04-01   Modified: 2016-04-21  

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