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2013 Fiscal Year Final Research Report

Development of novel transform-based lossless compression schemes

Research Project

  • PDF
Project/Area Number 23500006
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Fundamental theory of informatics
Research InstitutionGunma University

Principal Investigator

YOKOO Hidetoshi  群馬大学, 理工学研究院, 教授 (70134153)

Project Period (FY) 2011 – 2013
Keywords情報数理 / 情報理論 / データ圧縮 / 符号化 / ユニバーサル符号
Research Abstract

We have developed and analyzed two transformations for lossless compression: generalized radix permutation (GRP) and compression by substring enumeration (CSE). The GRP transform was proposed as a parametric generalization of the BWT of the block-sorting data compression algorithm. Our proposed extension can be applied to arbitrary parameter values and can transform a string in time linear in the string length. We then analyze the CSE algorithm, and propose encoding models that achieve asymptotic optimality for stationary ergodic sources and Markov sources of any order. We also establish a concrete way for efficient implementation of CSE. CSE often produces more codewords than necessary. In order to reduce such redundancy, we propose a method for computing the maximum length of the substrings that should be enumerated in CSE to uniquely identify the input string. As for an application of these transformations, we propose a practical secret sharing scheme for string data.

  • Research Products

    (5 results)

All 2014 2013 2012 2011

All Presentation (5 results)

  • [Presentation] Compression by substring enumeration データ圧縮法の効率的実現2014

    • Author(s)
      山崎世界, 金安英明, 横尾英俊
    • Organizer
      電子情報通信学会技術研究報告
    • Place of Presentation
      大阪市
    • Year and Date
      20140100
  • [Presentation] 記号列に対する変換に基づく秘密分散法2013

    • Author(s)
      津久井香奈, 横尾英俊
    • Organizer
      電子情報通信学会技術研究報告
    • Place of Presentation
      仙台市
    • Year and Date
      20130100
  • [Presentation] CSE 無ひずみデータ圧縮法の情報理論的解釈2012

    • Author(s)
      横尾英俊
    • Organizer
      電子情報通信学会技術研究報告
    • Place of Presentation
      つくば市
    • Year and Date
      20120100
  • [Presentation] The universality and linearity of compression by substring enumeration2011

    • Author(s)
      Danny Dúbe and Hidetoshi Yokoo
    • Organizer
      2011 IEEE International Symposium on Information Theory, ISIT 2011
    • Place of Presentation
      Saint-Petersburg, Russia
    • Year and Date
      20110800
  • [Presentation] Asymptotic optimal compression via the CSE technique2011

    • Author(s)
      Hidetoshi Yokoo
    • Organizer
      2011 First International Conference on Data Compression, Communication and Processing, CCP 2011
    • Place of Presentation
      Plinuro, Italy
    • Year and Date
      20110600

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Published: 2015-07-16  

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