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2018 年度 実績報告書

離散数学とその応用

研究課題

研究課題/領域番号 18J23484
研究機関京都大学

研究代表者

AZAM NAVEED AHMED  京都大学, 情報学研究科, 特別研究員(DC1)

研究期間 (年度) 2018-04-25 – 2021-03-31
キーワードSubsitution box / Elliptic curve / Image encryption / PCG / Linear programming
研究実績の概要

Our research project is mainly related to two areas, namely, cryptography and graph enumeration. We have developed some new and efficient techniques for the generation of cryptographically strong S-boxes using some algebraic notions. Moreover, we also proposed an efficient cryptographically secure image encryption technique by using a minimal number of S-boxes. This research resulted in four peer reviewed journal publications. Furthermore, we developed some methods of enumerating pairwise compatibility graphs (PCGs) by using linear programming. The research in this area resulted in two peer reviewed international conference papers and one poster presentation.

現在までの達成度 (区分)
現在までの達成度 (区分)

2: おおむね順調に進展している

理由

The aim of our proposed research project is to develop some secure substitution box image encyrption techniques based on algebraic and graph enumeration techniques. Until now, we have publised four peer reviewed journal papers and two papers in international conferences with peer reviewed proceedings on these topics. It is therefore that the research is progressing according to the research plan.

今後の研究の推進方策

Our future aim is to further improve our newly developed techniques related to cryptography and graph enumeration. Further, we plan to use the graph enumeration tools in the field of cryptography for the security of image.

  • 研究成果

    (7件)

すべて 2019 2018

すべて 雑誌論文 (4件) (うち国際共著 4件、 査読あり 4件、 オープンアクセス 1件) 学会発表 (3件) (うち国際学会 2件)

  • [雑誌論文] Efficient Construction of a Substitution Box Based on a Mordell Elliptic Curve Over a Finite Field2019

    • 著者名/発表者名
      Naveed Ahmed Azamy, Umar Hayat, Ikram Ullah
    • 雑誌名

      Frontiers of Information Technology & Electronic Engineering

      巻: 19 ページ: 1~10

    • 査読あり / 国際共著
  • [雑誌論文] A novel image encryption scheme based on an elliptic curve2019

    • 著者名/発表者名
      Hayat Umar, Azam Naveed Ahmed
    • 雑誌名

      Signal Processing

      巻: 155 ページ: 391~402

    • DOI

      https://doi.org/10.1016/j.sigpro.2018.10.011

    • 査読あり / 国際共著
  • [雑誌論文] An Injective S-Box Design Scheme over an Ordered Isomorphic Elliptic Curve and Its Characterization2018

    • 著者名/発表者名
      Azam Naveed Ahmed, Hayat Umar, Ullah Ikram
    • 雑誌名

      Security and Communication Networks

      巻: 2018 ページ: 1~9

    • DOI

      https://doi.org/10.1155/2018/3421725

    • 査読あり / オープンアクセス / 国際共著
  • [雑誌論文] A Method of Generating 8 x 8 Substitution Boxes Based on Elliptic Curves2018

    • 著者名/発表者名
      Hayat Umar, Azam Naveed Ahmed, Asif Muhammad
    • 雑誌名

      Wireless Personal Communications

      巻: 101 ページ: 439~451

    • DOI

      10.1007/s11277-018-5698-1

    • 査読あり / 国際共著
  • [学会発表] An improved method for enumerating pairwise compatibility graphs with a given number of vertices2019

    • 著者名/発表者名
      Naveed Ahmed Azam
    • 学会等名
      Asian Association for Algorithms and Computation
    • 国際学会
  • [学会発表] Enumerating all pairwise compatibility graphs with a given number of vertices using linear programming2019

    • 著者名/発表者名
      Naveed Ahmed Azam
    • 学会等名
      ICT Innovations Kyoto University
  • [学会発表] Enumerating all pairwise compatibility graphs with a given number of vertices based on linear programming2018

    • 著者名/発表者名
      Naveed Ahmed Azam
    • 学会等名
      2nd International Workshop on Enumeration Problems and Applications
    • 国際学会

URL: 

公開日: 2019-12-27  

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