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Seven Kings High School

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11/10/2011
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Seven Kings High

School

Presents

Codes

First we looked at the different Ciphers

 The Pig Pen Code

 The Caesar Shift

 The Morse Code

 The Semaphore on the Hill

 Binary Codes

 Number Plates

 100 Grid

 Coordinates

We worked out the answers

to the Jokes

&

then

We worked out the clues to try to find the

Enigmatic Character. We found:-

 The Enigmatic Character was a very clever man

indeed he studied a lot of subjects including

Mathematics.

 He was a mathematician

 He was a philosopher

 He spoke Arabic

 He had something to do with the House of Wisdom

 The letters K & G

We searched the Internet and think that

the character could be :-

 Omar Khayyam









 Born: 18 May 1048 in Nishapur, Persia (now Iran)

Died: 4 Dec 1131 in Nishapur, Persia (now Iran)



Omar Khayyam's full name was Ghiyath al-Din Abu'l-Fath

Umar ibn Ibrahim Al-Nisaburi al-Khayyami. A literal

translation of the name al-Khayyami (or al-Khayyam) means

'tent maker' and this may have been the trade of Ibrahim his

father.

We made up some coded messages of our own.



We used

 the Binary Code

 The Pig Pen Codes

 A Coordinate Grid

Can you crack

this binary

code ?

30 25 20 31 25 11 31

30 38 5 25 31

20 11 25 10 38 11 23 18 35

WHAT DO PARROTS LIKE TO WATCH ON TV?









HOW DO SAILORS GET FROM ONE SHIP TO ANOTHER?









WHAT NEVER GOES UP BUT STILL COMES DOWN?

Using the coordinate grid

10 a n t l j r m m j z

9 k j f u z w u u g s

8 i s n j u t w v s i

7 g a n g p r z s t t

6 j u f f k w n q e h

5 x j k n e d s i a e

4 r o m q h s e h n d

3 a y t w u d o e u i

2 i f k e a d g n o h

1 q g h r y q h u l n

1 2 3 4 5 6 7 8 9 10

Can you read this message ?



(3 , 4) (5 , 2) (6 , 8) (10 , 6) (7 , 5)





(1 , 6) (2 , 8)





(3 , 6) (8 , 9) (10 , 1)

We decoded the four messages.

 All four were coded using the Caesar Shift.

 The second and third code changed the shift part way

through the message.

 It was more difficult when the letters were close

together but we looked for the three letter words that

could be ‘the’ or ‘and’ to help us find the shift.

 Each message told us about Julius Caesar.

We decided to look at the frequency of the letters in a

number of different passages. We looked at a passage

from:



 An English reading book.

 The Daily Mirror

 The Guardian

 Two French reading books.

 We did a tally chart for the letters in each

passage.

 We put our results onto a spread sheet and

used excel to work out the frequency for each

letter as a percentage of the total number of

letters.

 We made a bar chart for each set of data.

 Here are our graphs.

We took a passage from the book ‘Captain Underpants’

A Bar Chart to show the frequency of the letters



25.0



20.0

Frequency









15.0



10.0



5.0



0.0 AB C D E FG H I J K LM N O PQ R S TU VWXYZ









The most frequent letter is T and then E & H

We took and article from the Daily Mirror

Bar to show the frequencies of the letters.



16.0

14.0

12.0

Freqency %









10.0

8.0

6.0

4.0

2.0

0.0

A B C D E F GH I J K L MNOPQ R S T U V WXYZ









We found that E was the most frequent letter and then R & T

We took a passage from the Guardian.

A Bar Chart to show the frequency of the Letters



15.0

Frequency %









10.0





5.0





0.0

A B C D E F G H I J K LM NO P Q R S T U V W X Y Z





The most frequent letter was E & then A

We took a passage from a French book.

A Bar Chart to show the frequencies of the letters.

Frequency %









A B C D E F G H I J K L M N O P Q R S T U V WX Y Z





E was the most frequent letter A, I, N, R, S, T & U were

about the same.

We took a passage from a second French book.

A Bar Chart to show the Frequency of the letters

10



8

Frequency %









6



4



2



0

A B CD E FH I J KL MNOP Q R S T UVWXYZ



E & K were the most frequent letters and then F, N & V

The results of our investigation into the

frequency of the letters.



 We found that the letter E was the most

frequent letter for all of the passages except

Captain Underpants. In this passage T was the

most frequent letter.

 We thought this was strange so we looked at

the passage again.

T appeared the most in the ‘Captain

Underpants’ paragraph because the

names of the characters have T in them.

E, we found that

 After

A & T occurred quite often.

 We could now use our results to try to crack a coded

message.

 We would need to work out the frequencies for the

coded message and compare them with the

frequencies that we found from our investigation.

 If the letter Z came up most often this would most

likely be E.

 We could then compare the other most frequent

letters.



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