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Transition probabilities from selected texts
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The Somerton Man's code (without the extra line) is 44 characters long. So, if the text is purely random (1/26 chance of each letter appearing) then the probability of attaining this particular string of 44 is (1/26)^44 = 5.51027E-63. This is a good initial comparison. For transitions that have p=0, corrections to p=0.0001 have been performed to attain a non-zero Markov probability. HMMER score<ref>ftp://selab.janelia.org/pub/software/hmmer/CURRENT/Userguide.pdf Page 43</ref> is the log (base 2) of Markov probability / null probability (1/26^44) <!-- This software output has been formatted in html for quick entry into the project wiki --> ==First order== ===All letters=== <br/>(..\Texts\English.txt) All Letters <br/>Markov Probability: 4.196215910162246E-70 <br/>Corrected Zeroes: 0 <br/>HMMER Score: -23.646530132315654 <br/> <br/>(..\Texts\French.txt) All Letters <br/>Markov Probability: 4.562440416695874E-74 <br/>Corrected Zeroes: 0 <br/>HMMER Score: -36.8135257053655 <br/> <br/>(..\Texts\German.txt) All Letters <br/>Markov Probability: 1.6093650169064557E-82 <br/>Corrected Zeroes: 3 <br/>HMMER Score: -64.89226460456342 <br/> <br/>(..\Texts\Spanish.txt) All Letters <br/>Markov Probability: 1.7633169297716054E-83 <br/>Corrected Zeroes: 1 <br/>HMMER Score: -68.08239247668342 <br/> <br/>(..\Texts\Italian.txt) All Letters <br/>Markov Probability: 2.8938109466376915E-92 <br/>Corrected Zeroes: 9 <br/>HMMER Score: -97.26506645809364 <br/> <br/>(..\Texts\Portuguese.txt) All Letters <br/>Markov Probability: 1.0172950778991843E-77 <br/>Corrected Zeroes: 1 <br/>HMMER Score: -48.94437749826932 <br/> <br/>(..\Texts\Dutch.txt) All Letters <br/>Markov Probability: 2.139309827314818E-84 <br/>Corrected Zeroes: 1 <br/>HMMER Score: -71.12546693519374 <br/> <br/>(..\Texts\Swedish.txt) All Letters <br/>Markov Probability: 4.7024882053115854E-77 <br/>Corrected Zeroes: 2 <br/>HMMER Score: -46.735691382905166 <br/> <br/>(..\Texts\Vigenere - 1984.txt) All Letters <br/>Markov Probability: 1.646391769425068E-70 <br/>Corrected Zeroes: 0 <br/>HMMER Score: -24.99631136880728 <br/> <br/>(Outputs\Playfair.out) All Letters <br/>Markov Probability: 5.213910076344393E-69 <br/>Corrected Zeroes: 0 <br/>HMMER Score: -20.01132524791302 <br/> ===Initial letters=== <br/>(..\Texts\English.txt) Initial Letters <br/>Markov Probability: 5.755746003335865E-56 <br/>Corrected Zeroes: 0 <br/>HMMER Score: 23.316377212971148 <br/> <br/>(..\Texts\French.txt) Initial Letters <br/>Markov Probability: 1.960919656262944E-61 <br/>Corrected Zeroes: 0 <br/>HMMER Score: 5.153264236029422 <br/> <br/>(..\Texts\German.txt) Initial Letters <br/>Markov Probability: 7.441017498436695E-73 <br/>Corrected Zeroes: 1 <br/>HMMER Score: -32.78590341697 <br/> <br/>(..\Texts\Spanish.txt) Initial Letters <br/>Markov Probability: 3.204888821639082E-63 <br/>Corrected Zeroes: 0 <br/>HMMER Score: -0.7818480694202504 <br/> <br/>(..\Texts\Italian.txt) Initial Letters <br/>Markov Probability: 6.089831612262369E-59 <br/>Corrected Zeroes: 0 <br/>HMMER Score: 13.431992337096512 <br/> <br/>(..\Texts\Portuguese.txt) Initial Letters <br/>Markov Probability: 2.2658166834014361E-60 <br/>Corrected Zeroes: 0 <br/>HMMER Score: 8.683693049158332 <br/> <br/>(..\Texts\Dutch.txt) Initial Letters <br/>Markov Probability: 6.9654365323502316E-68 <br/>Corrected Zeroes: 1 <br/>HMMER Score: -16.27154908302583 <br/> <br/>(..\Texts\Swedish.txt) Initial Letters <br/>Markov Probability: 2.6806903224847996E-64 <br/>Corrected Zeroes: 2 <br/>HMMER Score: -4.361445908011734 <br/> ==Second order== ===All letters=== <br/>(..\Texts\English.txt) All Letters <br/>Markov Probability: 4.2148901763982914E-92 <br/>Corrected Zeroes: 9 <br/>HMMER Score: -96.72254209077907 <br/> <br/>(..\Texts\French.txt) All Letters <br/>Markov Probability: 1.9814441750241465E-90 <br/>Corrected Zeroes: 9 <br/>HMMER Score: -91.16762862009702 <br/> <br/>(..\Texts\German.txt) All Letters <br/>Markov Probability: 5.919358467581905E-105 <br/>Corrected Zeroes: 14 <br/>HMMER Score: -139.41766153806188 <br/> <br/>(..\Texts\Spanish.txt) All Letters <br/>Markov Probability: 3.342953425806875E-98 <br/>Corrected Zeroes: 11 <br/>HMMER Score: -116.98848244535708 <br/> <br/>(..\Texts\Italian.txt) All Letters <br/>Markov Probability: 6.083262400057097E-116 <br/>Corrected Zeroes: 21 <br/>HMMER Score: -175.9194661728711 <br/> <br/>(..\Texts\Portuguese.txt) All Letters <br/>Markov Probability: 4.2738731323579313E-94 <br/>Corrected Zeroes: 13 <br/>HMMER Score: -103.34634923820269 <br/> <br/>(..\Texts\Dutch.txt) All Letters <br/>Markov Probability: 5.327306011536052E-112 <br/>Corrected Zeroes: 17 <br/>HMMER Score: -162.82319287449383 <br/> <br/>(..\Texts\Swedish.txt) All Letters <br/>Markov Probability: 1.1823873333660746E-91 <br/>Corrected Zeroes: 10 <br/>HMMER Score: -95.23440631711085 <br/> <br/>(..\Texts\Vigenere - 1984.txt) All Letters <br/>Markov Probability: 1.669944098510842E-92 <br/>Corrected Zeroes: 8 <br/>HMMER Score: -98.05823732223358 <br/> <br/>(Outputs\Playfair.out) All Letters <br/>Markov Probability: 7.389612924665265E-86 <br/>Corrected Zeroes: 6 <br/>HMMER Score: -75.98096976556741 <br/> ===Initial letters=== <br/>(..\Texts\English.txt) Initial Letters <br/>Markov Probability: 1.0496288884966237E-55 <br/>Corrected Zeroes: 0 <br/>HMMER Score: 24.18318171171002 <br/> <br/>(..\Texts\French.txt) Initial Letters <br/>Markov Probability: 8.83846402382603E-70 <br/>Corrected Zeroes: 3 <br/>HMMER Score: -22.571823368605646 <br/> <br/>(..\Texts\German.txt) Initial Letters <br/>Markov Probability: 1.6757717490935368E-89 <br/>Corrected Zeroes: 10 <br/>HMMER Score: -88.08742718870606 <br/> <br/>(..\Texts\Spanish.txt) Initial Letters <br/>Markov Probability: 8.869612541473453E-71 <br/>Corrected Zeroes: 3 <br/>HMMER Score: -25.888676055317255 <br/> <br/>(..\Texts\Italian.txt) Initial Letters <br/>Markov Probability: 1.0949986922100798E-57 <br/>Corrected Zeroes: 0 <br/>HMMER Score: 17.600375336401736 <br/> <br/>(..\Texts\Portuguese.txt) Initial Letters <br/>Markov Probability: 9.986807259493189E-70 <br/>Corrected Zeroes: 4 <br/>HMMER Score: -22.395595515749598 <br/> <br/>(..\Texts\Dutch.txt) Initial Letters <br/>Markov Probability: 1.9749729570078271E-69 <br/>Corrected Zeroes: 2 <br/>HMMER Score: -21.41185805018986 <br/> <br/>(..\Texts\Swedish.txt) Initial Letters <br/>Markov Probability: 9.55816081723446E-69 <br/>Corrected Zeroes: 4 <br/>HMMER Score: -19.13695790770939 <br/> ==References== <References/> ==See also== *[[Cipher Cracking 2009]] *[[Markov models]] ==Back== *[https://myuni.adelaide.edu.au/webapps/portal/frameset.jsp Back to MyUni] *[http://www.eleceng.adelaide.edu.au/personal/dabbott Back to Derek Abbott's homepage] *[http://www.eleceng.adelaide.edu.au Back to EEE Department page] *[http://www.adelaide.edu.au Back to the University of Adelaide homepage]
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