[JoGu]

Cryptology

The Bazeries Cylinder

a7Hzq .#5r<
kÜ\as TâÆK$
ûj(Ö2 ñw%h:
Úk{4R f~`z8
¤˜Æ+Ô „&¢Dø

Bazeries' 20 Cycles

Written horizontally. The alphabet has 25 letters (no W).

 1 A B C D E F G H I J K L M N O P Q R S T U V X Y Z
 2 B C D F G H J K L M N P Q R S T V X Z A E I O U Y
 3 A E B C D F G H I O J K L M N P U Y Q R S T V X Z
 4 Z Y X V U T S R Q P O N M L K J I H G F E D C B A
 5 Y U Z X V T S R O I Q P N M L K E A J H G F D C B
 6 Z X V T S R Q P N M L K J H G F D C B Y U O I E A
 7 A L O N S E F T D P R I J U G V B C H K M Q X Y Z
 8 B I E N H U R X L S P A V D T O Y M C F G J K Q Z
 9 C H A R Y B D E T S L F G I J K M N O P Q U V X Z
10 D I E U P R O T G L A F N C B H J K M Q S V X Y Z
11 E V I T Z L S C O U R A N D B F G H J K M P Q X Y
12 F O R M E Z L S A I C U X B D G H J K N P Q T V Y
13 G L O I R E M T D N S A U X B C F H J K P Q V Y Z
14 H O N E U R T P A I B C D F G J K L M Q S V X Y Z
15 I N S T R U E Z L A J B C D F G H K M O P Q V X Y
16 J A I M E L O G N F R T H U B C D K P Q S V X Y Z
17 K Y R I E L S O N A B C D F G H J M P Q T U V X Z
18 L H O M E P R S T D I U A B C F G J K N Q V X Y Z
19 M O N T E Z A C H V L B D F G I J K P Q R S U X Y
20 N O U S T E L A C F B D G H I J K M P Q R V X Y Z

Encrypting with the Bazeries cylinder

Example 1: Disks in standard order (not wise), using first generatrix.

Plaintext:   A N H I M M E L F A H R T I S T V A T E R T A G

Disk:        1 2 3 4 5 6 7 8 9  11  13  15  17  19   1 2 3 4
                              10  12  14  16  18  20

Ciphertext:  B P I H L L F S G F J M D B T H X B E L S V E F

Example 2: Encrypting the word »division« using the disk order

 16  7 18  6 17 10  8  9  ...
taking the 3rd generatrix—that is we read the ciphertext letters at 3 positions to the right in our table (on the real cylinder we would go 3 positions downward):
  d  i  v  i  s  i  o  n
  Q  G  Z  Z  A  P  C  Q


Author: Klaus Pommerening, 1997-Jul-11; last change: 2013-Nov-01.