|
252 |
Book
Five |
Ch.
13. |
Chapter
XIII
On Oblique
Transposition of Letters into Combinations
Of Fewer Letters: the Simpler Form thereof.
We have
had Oblique Transposition into Letters (see c.6)
and Oblique Transposition into consonants (c.11f), but into letters and
consonants taken singly. We come
now to Oblique Transposition into certain
combinations of fewer letters, or into letters joined together; in which
case, however, never more than one secret letter is expressed by a single
combination. This Mode taken as a whole is so accomplished that we may, by means
of two, three, four , five, or seven letters, taken, not, as before, singly, but
joined together and combined in various ways, express all the letters of the
alphabet, and so write any and every secret.
Since, however, we may in this case too advance by three processes, -- by
the systematic selection of one, two, or four letters, by the arbitrary choice
of a single letter, or by the fortuitous collection of two or three letters,
-- there arise three Modes of subdivision.
Of the first two of these I will treat in this
chapter; of the third, in the following
chapter.
The first Mode of subdivision, taking place by the selection of one or more letters combined in fixed order, varies on the basis of this order. For, if four letters, as A,B,C, D, are selected, the order and arrangement shown by the following scheme must be adhered to:
|
A |
E |
I |
O |
U |
B |
C |
D |
F |
G |
H |
K |
|
c |
d |
b |
a |
cd |
dd |
Bd |
ad |
dc |
db |
da |
cb |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
L |
M |
N |
P |
Q |
R |
S |
T |
W |
X |
Y |
Z |
|
ca |
bc |
ba |
cc |
ab |
ac |
Bb |
aa |
ccc |
ddd |
bbb |
aaa |
Let the example be
this, taken from Schwenter, P.221: Ba.b.bc*
d.b.ba* db.d.bb.bd.da.b.ac* bb.a* a.dd.d.ba* d.b.ba.d.ba* d.ba.db.d.ba*
da.c.ca.bb* da.c.aa* db.d.cd.bb* bb.b.d.ad.da.d.b.bb* ccc.c.bb.bb.d.ac*
ad.c.ac.d.b.ba* cd.d.ac.bc.c.db.da.bb*
ad.c.bb* cb.d.b.ba*
ca.cd.dc.aa* ad.c.ac.d.b.ba* cb.a.bc*
ca.c.bb* d.bb*
b.ba* d.b.ba.d.ba*
aa.b.d.dc.d.ba* dd.ac.cd.ba.ba.d.ba*
bb.a* ccc.b.ac.ad.bb*
b.ba* d.b.ba.d.ac* bb.aa.cd.ba.ad.d.* aaa.cd*
d.bbb.bb.bb* c.cd.bd.da*
bc.b.aa.aa.d.ba* b.bc*
bb.a.bc.bc.d.ac*
If we wish to write with three letters only, the following arrangeement, presented by de Vigenere, Traicte des Chiffres, p.200, is to be used, as is shown by the next to the last table in Bk 6.c.4. From this table I will present only the first alphabet, which applies here, thus,
|
A |
B |
C |
D |
E |
F |
G |
H |
I |
K |
L |
LL |
|
ccb |
caa |
cab |
aaa |
aab |
aac |
Aba |
abb |
abc |
aca |
acb |
cba |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
M |
N |
O |
P |
Q |
R |
RR |
S |
SS |
T |
V |
X |
|
acc |
bbb |
bba |
bbc |
baa |
bab |
Cbb |
bac |
cbc |
bca |
bcb |
bcc |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Y |
Z |
& |
|
|
|
|
|
|
|
|
|
|
ccc |
cca |
cac |
|
|
|
|
|
|
|
|
|
If you wish t write by means of this alphabet the sentence: Omnium rerum vicissitudo: the following form will be produced: Bbaaccbbbabcbcbacc, babaabbabbcbacc, bcbabccababccbcabcbcabccaaabba.