JavaScript is disabled for your browser. Some features of this site may not work without it.
  • About K
  • Academics
  • Admission
  • Alumni Relations
  • Giving to K
  • News & Events
  • Student Life
  • HORNET HIVE
  • ATHLETICS
  • SITEMAP
  • WEBMAIL
    • Login
    View Item 
    •   CACHE Homepage
    • Academic Departments, Programs, and SIPs
    • Mathematics
    • Mathematics Senior Integrated Projects
    • View Item
    •   CACHE Homepage
    • Academic Departments, Programs, and SIPs
    • Mathematics
    • Mathematics Senior Integrated Projects
    • View Item

    Coding Theory Analysis : an Algebraic Analysis on Linear Block Codes with Application

    Thumbnail
    View/Open
    Searchable PDF/Kalamazoo College Only (247.3Kb)
    Date
    2021-02-01
    Author
    Wang, Yueyang
    Metadata
    Show full item record
    Abstract
    This paper has discussed the linear block codes from an algebraic approach. Linear block codes are created to solve the noisy channel problem in communication, and they are characterized by their specific error-correcting algorithms such as repetition, parity-check, and Hamming algorithm. Linear codes can also be seen as vector spaces defined by their generator matrices and parity-check matrices, and these matrices are tools to analyze linear code algebraically, such as proving the Plotkin bound. The algebraic properties also allow a simple algorithm for systematic encoding and decoding on a linear code, which makes linear code suitable carrying large set of data. Overall, in a communication system, an error-correcting linear code is able to protect the originality of the data with limited additional redundancy, which makes it a reliable and efficient solution to the fundamental problem in coding theory.
    URI
    https://cache.kzoo.edu/handle/10920/39673
    Collections
    • Mathematics Senior Integrated Projects [262]

    Related items

    Showing items related by title, author, creator and subject.

    • Thumbnail

      Characterization and Analysis of the Native Hindgut Flora of Periplaneta americana Using a Culture Independent Analysis 

      Strong, Thomas A. (Kalamazoo College, 2011)
      The American Cockroach (Periplaneta americana) is a common insect found throughout the world. Previous studies have shown that within the American Cockroach's gastrointestinal (GI) tract harbors an immensely complex micro ...
    • Thumbnail

      Credit Analysis: Financial, Ratio, and Risk Analysis 

      Franchi, John (2008)
      Credit analysis involves a wide variety of financial analysis techniques including ratio and trend analysis, of audited and unaudited financial statements. Credit Analysis also entails the creation of future projections ...
    • Thumbnail

      A Comparative Analysis of the British and American Retail Clothing Outlets (Specific Analysis) 

      Kooi, Roger A. (1964)
      The purpose of this paper is two fold. The title specifically states that the paper deals with "A comparative analysis of the British clothing retail outlet and the retail clothing outlet in the United states". The paper, ...

    Browse

    All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    Login

    DSpace software copyright © 2002-2022  DuraSpace
    DSpace Express is a service operated by 
    Atmire NV
    Logo

    Kalamazoo College
    1200 Academy Street
    Kalamazoo Michigan 49006-3295
    USA
    Info 269-337-7000
    Admission 1-800-253-3602

    About K
    Academics
    Admission
    Alumni Relations
    Giving to K
    News & Events
    Student Life
    Sitemap
    Map & Directions
    Contacts
    Directories
    Nondiscrimination Policy
    Consumer Information
    Official disclaimer
    Search this site


    Academic Calendars
    Apply
    Bookstore
    Crisis Response
    Employment
    Library
    Registrar
    DSpace Express is a service operated by 
    Atmire NV