Case 2-b.
Message
| SLCOF | WEETN | EBRDO | ORVYM | FFEDI |
| NMTEC | ROIAR | PERHO | ESETS | RFBHL |
| TENAH | OPTAU | SOMTL | RTETT | ASCBH |
| NIODC | RENEN | AAPRD | LACYE | ECIIE |
| SGUFN |
This is a transposition cipher, English text, and contains 105 letters. The factors of 105 are 5 × 3 × 7 so that we must investigate the following rectangles; 5 × 21, 15 × 7, three of 5 × 7, five of 3 × 7 and seven of 5 × 3.
| 21 × 5 | Vowels | | S | L | C | O | F | W | E | E | T | N | E | B | R | D | O | O | R | V | Y | M | F | 6 | | F | E | D | I | N | M | T | E | C | R | O | I | A | R | P | E | R | H | O | E | S | 9 | | E | T | S | R | F | B | H | L | T | E | N | A | H | O | P | T | A | U | S | O | M | 7 | | T | L | R | T | E | T | T | A | S | C | B | H | N | I | O | D | C | R | E | N | E | 6 | | N | A | A | P | R | D | L | A | C | Y | E | E | C | I | I | E | S | G | U | F | N | 9 | | Vowels | 1 | 2 | 1 | 2 | 1 | 0 | 1 | 4 | 0 | 1 | 3 | 3 | 1 | 3 | 3 | 3 | 1 | 1 | 3 | 2 | 1 |
The vowel count of the columns of the rectangle 5 × 21 is verysatisfactory. Let us consider it as three blocks of 5 × 7 each,since we must do this ultimately, and make a vowel count of columns forthese blocks. | | 5 × 21 | Vowels | | S | L | C | O | F | 1 | | W | E | E | T | N | 2 | | E | B | R | D | O | 2 | | O | R | V | Y | M | 1 | | F | F | E | D | I | 2 | | N | M | T | E | C | 1 | | R | O | I | A | R | 3 | | P | E | R | H | O | 2 | | E | S | E | T | S | 2 | | R | F | B | H | L | 0 | | T | E | N | A | H | 2 | | O | P | T | A | U | 3 | | S | O | M | T | L | 1 | | R | T | E | T | T | 1 | | A | S | C | B | H | 1 | | N | I | O | D | C | 2 | | R | E | N | E | N | 2 | | A | A | P | R | D | 2 | | L | A | C | Y | E | 2 | | E | C | I | I | E | 4 | | S | G | U | F | N | 1 | | Vowels | 7 | 9 | 8 | 7 | 6 |
|
| Column |
| 1 | 2 | 3 | 4 | 5 |
| Vowels, 1st block | 2 | 2 | 3 | 2 | 2 |
| Vowels, 2d block | 2 | 3 | 2 | 2 | 2 |
| Vowels, 3d block | 3 | 4 | 3 | 2 | 2 |
This is also excellent, so we will try three blocks 5 × 7 and see if rearrangement of horizontal lines will give results reading the columns vertically.
| 1 | S L C O F | P E R H O | A S C B H |
| 2 | W E E T N | E S E T S | N I O D C |
| 3 | E B R D O | R F B H L | R E N E N |
| 4 | O R V Y M | T E N A H | A A P R D |
| 5 | F F E D I | O P T A U | L A C Y E |
| 6 | N M T E C | S O M T L | E C I I E |
| 7 | R O I A R | R T E T T | S G U F N |
Among other combinations are: