Skip to main content
Home
plus.maths.org

Secondary menu

  • My list
  • About Plus
  • Sponsors
  • Subscribe
  • Contact Us
  • Log in
  • Main navigation

  • Home
  • Articles
  • Collections
  • Podcasts
  • Maths in a minute
  • Puzzles
  • Videos
  • Topics and tags
  • For

    • cat icon
      Curiosity
    • newspaper icon
      Media
    • graduation icon
      Education
    • briefcase icon
      Policy

      Popular topics and tags

      Shapes

      • Geometry
      • Vectors and matrices
      • Topology
      • Networks and graph theory
      • Fractals

      Numbers

      • Number theory
      • Arithmetic
      • Prime numbers
      • Fermat's last theorem
      • Cryptography

      Computing and information

      • Quantum computing
      • Complexity
      • Information theory
      • Artificial intelligence and machine learning
      • Algorithm

      Data and probability

      • Statistics
      • Probability and uncertainty
      • Randomness

      Abstract structures

      • Symmetry
      • Algebra and group theory
      • Vectors and matrices

      Physics

      • Fluid dynamics
      • Quantum physics
      • General relativity, gravity and black holes
      • Entropy and thermodynamics
      • String theory and quantum gravity

      Arts, humanities and sport

      • History and philosophy of mathematics
      • Art and Music
      • Language
      • Sport

      Logic, proof and strategy

      • Logic
      • Proof
      • Game theory

      Calculus and analysis

      • Differential equations
      • Calculus

      Towards applications

      • Mathematical modelling
      • Dynamical systems and Chaos

      Applications

      • Medicine and health
      • Epidemiology
      • Biology
      • Economics and finance
      • Engineering and architecture
      • Weather forecasting
      • Climate change

      Understanding of mathematics

      • Public understanding of mathematics
      • Education

      Get your maths quickly

      • Maths in a minute

      Main menu

    • Home
    • Articles
    • Collections
    • Podcasts
    • Maths in a minute
    • Puzzles
    • Videos
    • Topics and tags
    • Audiences

      • cat icon
        Curiosity
      • newspaper icon
        Media
      • graduation icon
        Education
      • briefcase icon
        Policy

      Secondary menu

    • My list
    • About Plus
    • Sponsors
    • Subscribe
    • Contact Us
    • Log in
    • Rail fence cipher solution

      1 June, 2008
      June 2008

      The rail fence cipher

      Enigma machine

      The Enigma machine was used by the Germans to encode messages in WW2.

      Let's get codebreaking.

      The rail fence cipher involves writing messages so that alternate letters are written on separate upper and lower lines. To create the final encrypted message, the sequence of letters on the upper line is then followed by the sequence on the lower line. The code maker improves the security of the cipher by choosing more than two lines to encrypt the message.

      Take the plaintext "pancakes for breakfast" for example. It can be enciphered using a shift of two by writing it as follows:

      p   n   a   e   f   r   r   a   f   s  
        a   c   k   s   o   b   e   k   a   t

      The ciphertext is then created by reading across the rows as follows:

      pnaefrra fsa cksobekat

      In this case, a shift of two, in other words two lines, was used. In order to decipher it, the ciphertext must be split into two parts. If the shift was three, then the ciphertext must be split into three lines, four lines for a shift of four etc.

      Here is your cypher text. You'll have to work out for yourself which shift was used. Happy puzzling!

      TURNITYLNTHASMTITLRBAQEC.SONEASEBEWBMSASEB'BNODOENNIVH
      MTTXRBLTIELTBHSAIOUSUWHITNURTQZEEOEBANODISEBLIMTTTXEEBW
      YIURI.SSLNEANPNMTAAHITHLMTIUETNCNENULRCCCEVNOHWYMSNEESS
      LIAITMEURT'ADEHSRISIEYBHSEDWTUURDNVUKUASENRAESO.

      You can find out more about the rail fence cypher on Simon Singh's website.

      The solution

      The shift used in this text was 4, so the 212 characters in the cypher text must be split into four lines of 53 characters each:

      TURNITYLNTHASMTITLRBAQEC.SONEASEBEWBMSASEB'BNODOENNIV
      HMTTXRBLTIELTBHSAIOUSUWHITNURTQZEEOEBANODISEBLIMTTTXE
      EBWYIURI.SSLNEANPNMTAAHITHLMTIUETNCNENULRCCCEVNOHWYS
      NEESSLIAITMEURT'ADEHSRISIEYBHSEDWTUURDNVUKUASENRAESO.

      Reading the text column-wise decodes the message as:

      The number twenty six is truly brilliant. It is the smallest number that isn't a palindrome but has a square which is. It is the only number that is squeezed between two cube numbers and an unsolved rubicks cube can be solved in no more than twenty six moves.


      Back to main puzzle page
      • Log in or register to post comments

      Anonymous

      23 July 2011

      Permalink
      Comment

      26 is not squeezed between two cube numbers. In fact, it is the only number that is between a square number (25 = 5x5) and a cube number (27 =3x3x3).

      • Log in or register to post comments
      University of Cambridge logo

      Plus Magazine is part of the family of activities in the Millennium Mathematics Project.
      Copyright © 1997 - 2025. University of Cambridge. All rights reserved.

      Terms