Everand Logo

Welcome to Everand!

  • Discover millions of ebooks, audiobooks, and so much more with a free trial

    Only $11.99/month after trial. Cancel anytime.

    An Introduction to Algebraic and Combinatorial Coding Theory
    An Introduction to Algebraic and Combinatorial Coding Theory
    An Introduction to Algebraic and Combinatorial Coding Theory
    Ebook208 pages5 hours

    An Introduction to Algebraic and Combinatorial Coding Theory

    By Ian F. Blake and Ronald C. Mullin

    4/5

    ()

    Read preview

    About this ebook

    An Introduction to Algebraic and Combinatorial Coding Theory focuses on the principles, operations, and approaches involved in the combinatorial coding theory, including linear transformations, chain groups, vector spaces, and combinatorial constructions. The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on quadratic residues and codes, self-dual and quasicyclic codes, balanced incomplete block designs and codes, polynomial approach to coding, and linear transformations of vector spaces over finite fields. The text then examines coding and combinatorics, including chains and chain groups, equidistant codes, matroids, graphs, and coding, matroids, and dual chain groups. The manuscript also ponders on Möbius inversion formula, Lucas's theorem, and Mathieu groups. The publication is a valuable source of information for mathematicians and researchers interested in the combinatorial coding theory.
    LanguageEnglish
    PublisherAcademic Press
    Release dateMay 10, 2014
    ISBN9781483260297
    An Introduction to Algebraic and Combinatorial Coding Theory

    Related to An Introduction to Algebraic and Combinatorial Coding Theory

    Related ebooks

    Mathematics For You

    View More
    View More

    Related podcast episodes

    Related articles

    • Article

      Physicists Attack Math’s $1,000,000 Question

      Apr 4, 2017

      Physicists are attempting to map the distribution of the prime numbers to the energy levels of a particular quantum system.

      4 min read

    • Article

      The Deepest Uncertainty: When a hypothesis is neither true nor false.

      Jun 6, 2013

      Georg Cantor died in 1918 in a sanatorium in Halle, Germany. A pre-eminent mathematician, he had laid the foundation for the theory of infinite numbers in the 1870s. At the time, his ideas received hostile opposition from prominent mathematicians in

      4 min read

    • Article

      Math After COVID-19

      Apr 28, 2020

      Math After COVID-19
      4 min read

    • Article

      Kolmogorov Complexity and Our Search for Meaning

      Aug 2, 2018

      Was it a chance encounter when you met that special someone or was there some deeper reason for it? What about that strange dream last night—was that just the random ramblings of the synapses of your brain or did it reveal something deep about your u

      8 min read

    • Article

      Why Mathematicians Should Stop Naming Things After Each Other

      Sep 2, 2020

      Any student of modern math must know what it feels like to drown in a well of telescoping terminology. For a high-profile example, let’s take the Calabi-Yau manifold, made famous by string theory. A Calabi-Yau manifold is a compact, complex Kähler ma

      6 min read

    • Article

      The Almost-Proof of Fermat’s Last Theorem

      Mar 3, 2017

      19th century mathematicians thought the “roots of unity” were the key to solving Fermat’s Last Theorem. Then they discovered a fatal flaw.

      2 min read

    • Article

      Babbage And Running His Many Engines

      Nov 16, 2021

      Mike Bedford Like most of us, Mike tended to think of the likes of Alan Turing and John von Neumann as the pioneers of computing, so delving further into Charles Babbage’s creations was truly inspiring. Discussion about the first ever computer often

      11 min read

    • Article

      Under The Hood

      Feb 23, 2023

      Under The Hood
      3 min read

    • Article

      Microcontrollers In Amateur Radio

      May 1, 2022

      When you hit the compile button for your compiler, there’s a whole bunch of stuff that takes place that isn’t obvious while the code compiles. In general terms, the C compiler: 1) invokes a preprocessor pass on the code;2) performs syntax/semantic ch

      4 min read

    • Article

      Antennas

      Dec 1, 2020

      Antennas
      4 min read

    • Article

      Bachmann Renews Its Class 37

      Oct 18, 2022

      00GAUGE 4mm:1ft 1960-present ERA DETAILED models of the 309-strong fleet of Class 37s has been part of Bachmann’s range for several decades, starting with a highly controversial first model of a Class 37/4 which was subject to some criticism for p

      5 min read

    • Article

      How To Solve Mazes Using Go And Maths

      May 5, 2020

      This month, we’re going delve into solving maze and dungeon puzzles with the help of graph theory (well, we are all in isolation–Ed). The purpose of such puzzles is to determine whether there’s a path that connects two places and find that path, keep

      7 min read

    • Article

      ‘Electras’ in ‘OO’

      Jun 14, 2022

      ‘Electras’ in ‘OO’
      5 min read

    • Article

      Conventional Names

      Jun 2, 2020

      To avoid common mistakes in Java, it’s worth always trying to be precise. Java, like most programming languages, is quite picky. Stick to a naming convention and remember that Java is case sensitive. If you capitalise letters in one place, you’ll nee

      1 min read

    • Article

      Using C

      Apr 6, 2021

      Most UNIX utilities are written in C or in machine code – this part of the tutorial explains the basic C system calls for working with the UNIX filesystem as well as directories and for visiting all files and directories under a given root directory.

      1 min read

    • Article

      Inside The Intel 4oo4

      Oct 19, 2021

      Inside The Intel 4oo4
      7 min read

    Related categories

    Reviews for An Introduction to Algebraic and Combinatorial Coding Theory

    4/5

    1 rating0 reviews

    What did you think?

    Tap to rate

    Review must be at least 10 words

      Book preview

      An Introduction to Algebraic and Combinatorial Coding Theory - Ian F. Blake

      Enjoying the preview?
      Page 1 of 1