Generating mixed Alphabets

Most ciphers need to generate a mixed alphabet. CipherClerk's Applet offers some algorithms to generate such mixed alphabets. Descriptions and examples for the key word william and the normal, 26 letter alphabet are given below.

This page depicts how a letter substitution scheme is generated. If a mixed alphabet is required, the letters of the Cipher line read left to right represent the letters of the mixed alphabet (from the first to it's last letter).

Keyword mixed

The key word is written, but each letter is only written at it's first appearance, e.g. william reduces to wilam. Finally all letters not found in the key word are appended.
Plain A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Cipher W I L A M B C D E F G H J K N O P Q R S T U V X Y Z

Keyword mixed transposition

The keyword is written as before all letters not found in the alphabet are written blow the key word, each line holding no more characters than the key word:
W I L A M
B C D E F
G H J K N
O P Q R S
T U V X Y
Z
Now the cipher alphabet is read column by column:
Plain A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Cipher W B G O T Z I C H P U L D J Q V A E K R X M F N S Z

Keyword mixed transposition variant

The procedure differs from the one given above only in the way that repeated letters in the key word are left blank in the table:
W I L _ _ A M
B C D E F G H
J K N O P Q R
S T U V X Y Z
Again, the cipher alphabet is read column by column:
Plain A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Cipher W B J S I C K T L D N U E O V F P X A G Q Y M H R Z

Keyword mixed transposition variant 2

As before, repeated letters in the key word are left blank in the table. Now all letters of the alphabet are written in the lines below the keyword, leaving blanks for those letters already used in the key word:
W I L _ _ A M
_ B C D E F G
H _ J K _ _ N
O P Q R S T U
V _ X Y Z
Again, the cipher alphabet is read column by column:
Plain A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Cipher W H O V I B P L C J Q X D K R Y E S Z A F T M G N U

Columnar transposition

All letters of the key word are written. Numbers are assigned to these letters according to there position in the alphabet and the key word. All letters of the alphabet are written line by line below these numbers:
W I L L I A M
7 2 4 5 3 1 6
A B C D E F G
H I J K L M N
O P Q R S T U
V W X Y Z
The cipher alphabet is obtained by reading column by column in the order of the numbers.
Plain A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Cipher  F M T B I P W E L S Z C J Q X D K R Y G N U A H O V

Double Transposition

The procedure outlined above is applied twice. Using the result given above we obtain:
W I L L I A M
7 2 4 5 3 1 6
F M T B I P W
E L S Z C J Q
X D K R Y G N
U A H O V
The cipher alphabet is obtained by reading column by column in the order of the numbers.
Plain A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Cipher  P J G M L D A I C Y V T S K H B Z R O W Q N F E X U