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Home > College Algebra > Ciphers > Hill Cipher (encoder / decoder) example
18. Hill Cipher example (encoder / decoder) ( Enter your problem )
( Enter your problem )
  1. Examples
 		Other related methods
  1. A1Z26 Cipher (Letter to number Cipher)
  2. ADFGVX Cipher
  3. ADFGX Cipher
  4. Affine Cipher
  5. Alberti Cipher
  6. Atbash Cipher
  7. Autokey Cipher / Autoclave Cipher
  8. Bacon Cipher
  9. Beaufort Cipher
  10. Bifid Cipher
  11. Caesar Cipher
  12. Chaocipher
  13. Columnar transposition Cipher
  14. Double Transposition Cipher
  15. Enigma machine Cipher
  16. Four Square Cipher
  17. Gronsfeld Cipher
  18. Hill Cipher
  19. Kamasutra Cipher | Vatsyayana Cipher
  20. Morse Code Translator
  21. Multiplicative Cipher | Decimation Cipher
  22. Nihilist Cipher
  23. Playfair Cipher
  24. Polybius Square Cipher
  25. Porta Cipher
  26. Rail fence Cipher
  27. ROT-5 Cipher
  28. ROT-13 Cipher
  29. ROT-18 Cipher
  30. ROT-47 Cipher
  31. ROT-N Cipher
  32. Running Key Cipher
  33. Substitution Cipher
  34. Tap code Cipher | Knock code Cipher
  35. Three Square Cipher
  36. Trifid Cipher
  37. Trithemius Cipher
  38. Two-square Cipher
  39. Vigenere Cipher
17. Gronsfeld Cipher
(Previous method)		19. Kamasutra Cipher | Vatsyayana Cipher
(Next method)

1. Examples


1. Hill Cipher encoder

Text : ABCD efghi
KeyMatrix : 2,3;5,7
Padding Character : z

Solution:
The Hill cipher is a polygraphic substitution cipher that uses linear algebra and matrix multiplication for encryption

Letterabcdefghijklmnopqrstuvwxyz
Number012345678910111213141516171819202122232425

KeyMatrix = 2,3;5,7
Plaintext = abcdefghi
Split into pairs of 2-letters
ab cd ef gh i

Pad at end if necessary, to make pair of 2-letters
ab cd ef gh iz

23
57
`xx`
a
b
=
23
57
`xx`
0
1
=
3
7
 mod 26=
3
7
=
d
h


23
57
`xx`
c
d
=
23
57
`xx`
2
3
=
13
31
 mod 26=
13
5
=
n
f


23
57
`xx`
e
f
=
23
57
`xx`
4
5
=
23
55
 mod 26=
23
3
=
x
d


23
57
`xx`
g
h
=
23
57
`xx`
6
7
=
33
79
 mod 26=
7
1
=
h
b


23
57
`xx`
i
z
=
23
57
`xx`
8
25
=
91
215
 mod 26=
13
7
=
n
h


Plaintext : abcdefghiz
Ciphertext : dhnfxdhbnh
2. Hill Cipher encoder

Text : hello world
KeyMatrix : 2,3;5,7
Padding Character : z

Solution:
The Hill cipher is a polygraphic substitution cipher that uses linear algebra and matrix multiplication for encryption

Letterabcdefghijklmnopqrstuvwxyz
Number012345678910111213141516171819202122232425

KeyMatrix = 2,3;5,7
Plaintext = helloworld
Split into pairs of 2-letters
he ll ow or ld

23
57
`xx`
h
e
=
23
57
`xx`
7
4
=
26
63
 mod 26=
0
11
=
a
l


23
57
`xx`
l
l
=
23
57
`xx`
11
11
=
55
132
 mod 26=
3
2
=
d
c


23
57
`xx`
o
w
=
23
57
`xx`
14
22
=
94
224
 mod 26=
16
16
=
q
q


23
57
`xx`
o
r
=
23
57
`xx`
14
17
=
79
189
 mod 26=
1
7
=
b
h


23
57
`xx`
l
d
=
23
57
`xx`
11
3
=
31
76
 mod 26=
5
24
=
f
y


Plaintext : helloworld
Ciphertext : aldcqqbhfy



This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then Submit Here


17. Gronsfeld Cipher
(Previous method)		19. Kamasutra Cipher | Vatsyayana Cipher
(Next method)


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