03/11/2019

A Simple Specimen of Variable-Length Symbol Italian Cipher with Ambiguous Reading Frames

Many Italian figure ciphers employ variable-length symbols written continuously. This means one cannot tell from a given ciphertext whether "7333" should be parsed as "73 33" or "7 33 3." In Variable-Length Symbols in Italian Numerical Ciphers, I described various ciphers that have some schemes to prevent confusion, and also pointed out that there are some in which "no particular precaution against confusion is employed." For example, "525" can be read as "5(a) 25(a)" or "52(t) 5(a)." With such a cipher, even if one possesses the key, one can never know whether "525" should be parsed as "5 25" or "52 5", without knowledge of the vocabulary.
Such an ambiguity in the reading frame poses an additional difficulty in codebreaking. I suspect two of the three new Vatican Challenge ciphers use such a cipher.

Recently, I came across a specimen (Rome, 20 August 1604, unsigned) of an Italian ciphertext with continuously written figures with ambiguous reading frames (e.g., figures "3"(a), "6"(b), "9"(c) are also used in two-digit figures "33"(m), "36"(n), etc.). Unlike many other ciphers used at the time, this cipher is not homophonic, but a simple monoalphabetic cipher with a regular arrangement.
Hopefully, a specimen of such a simple cipher may give some hint of how to parse continuously written figure streams into separate figures.

99(-)98(-)30(l)3(a)33(m)6(b)3(a)54(s)9(c)27(i)3(a)12(d)29(o)48(r)15(e) 36(n)29(o)54(s)57(t)48(r)29(o) 48(r)27(i)57(t)29(o)48(r)36(n)3(a)57(t)29(o) 42(p)29(o)9(c)24(h)27(i) 21(g)27(i)29(o)48(r)36(n)27(i)
54(s)29(o)36(n)29(o) 12(d)27(i) 54(s)42(p)3(a)21(g)36(n)3(a) 48(r)3(a)9(c)29(o)36(n)57(t)29(o) 27(i)36(n) 54(s)15(e)36(n)3(a)57(t)29(o) 30(l)27(i) 33(m)29(o)30(l)57(t)27(i) 12(d)27(i)54(s)21(g)60(u)54(s)57(t)27(i)
9(c)24(h)15(e) 45(q)60(u)15(e)30(l)30(l)27(i) 33(m)27(i)36(n)27(i)54(s)57(t)48(r)27(i) 42(p)48(r)15(e)57(t)15(e)36(n)12(d)29(o)36(n)29(o) 48(r)27(i)9(c)15(e)v(60)15(e)48(r)15(e) 12(d)27(i) 45(q)60(u)3(a) 54(s)15(e)36(n)
12(d)29(o)54(s)27(i) v(60)27(i)54(s)57(t)3(a) 57(t)3(a)36(n)57(t)3(a) 3(a)30(l)27(i)15(e)36(n)3(a)69(z)27(i)29(o)36(n)15(e) 12(d)3(a)30(l) 54(s)15(e)48(r)v(60)27(i)69(z)27(i)29(o) 12(d)27(i) Midas 9(c)29(o)36(n) 57(t)
3(a)36(n)57(t)27(i) 54(s)15(e)21(g)36(n)27(i) 3(a)42(p)42(p)3(a)48(r)15(e)36(n)57(t)27(i) 15(e)57(t) 42(p)3(a)48(r)57(t)27(i)9(c)29(o)30(l)3(a)48(r)33(m)15(e)36(n)57(t)15(e) 9(c)24(h)15(e) 54(s)27(i) 9(c)29(o)36(n)42(p)
29(o)48(r)57(t)27(i) 45(q)60(u)27(i) 42(p)15(e)48(r)54(s)29(o)36(n)15(e) 9(c)24(h)15(e) 3(a)v(60)27(i)54(s)27(i)36(n)29(o) 15(e) 48(r)3(a)21(g)21(g)60(u)3(a)21(g)30(l)27(i)36(n)29(o) 9(c)29(o)54(s)57(t)27(i)
57(t)60(u)57(t)57(t)29(o) 45(q)60(u)3(a)36(n)57(t)29(o) 42(p)3(a)54(s)54(s)3(a) 27(i)36(n) 27(i)57(t)3(a)30(l)27(i)3(a) 54(s)42(p)15(e)57(t)57(t)3(a)36(n)57(t)15(e) 3(a)30(l)30(l)15(e) 9(c)29(o)54(s)15(e) 12(d)27(i) Midas
3(a)48(r)57(t)15(e) s(54)42(p)3(a)21(g)36(n)29(o) 30(l)15(e)54(s)9(c)3(a) 9(c)24(h)15(e) v(60)29(o)21(g)30(l)27(i)29(o)36(n)29(o) 27(i)36(n)18(f)15(e)48(r)27(i)48(r)15(e) 3(a)30(l)57(t)48(r)29(o) 42(p)15(e)48(r)29(o) 15(e)
6(b)15(e)36(n)15(e) 30(l)3(a) 36(n)15(e) 54(s)27(i)3(a) 3(a)60(u)27(i)54(s)3(a)57(t)3(a) 24(h)27(i)15(e)48(r)27(i) 30(l)3(a)30(l)57(t)48(r)29(o) 12(d)60(u)15(e) 6(b)3(a)48(r)9(c)24(h)15(e) 12(d)27(i) 18(f)27(i)36(n)3(a)30(l)15(e) 42(p)48(r)
15(e)54(s)15(e)48(r)29(o) 30(l)3(a) 18(f)48(r)15(e)21(g)3(a)57(t)3(a) 12(d)15(e)30(l)30(l)27(i) 21(g)60(u)3(a)48(r)12(d)27(i)3(a)36(n)27(i) 12(d)15(e)30(l) 9(c)29(o)33(m)33(m)15(e)48(r)69(z)27(i)29(o) 9(c)29(o)36(n) 57(t)60(u)57(t)
57(t)27(i) 30(l)27(i) 24(h)60(u)29(o)33(m)27(i)36(n)27(i) 9(c)24(h)15(e) v(60)27(i)15(e)48(r)3(a)36(n)29(o) 54(s)29(o)42(p)48(r)3(a) 45(q)60(u)3(a)30(l)27(i) 54(s)29(o)36(n)29(o) 54(s)57(t)3(a)57(t)27(i)
33(m)3(a)36(n)12(d)3(a)57(t)27(i) 30(l)27(i)21(g)3(a)57(t)27(i) 3(a) 33(m)27(i)30(l)3(a)36(n)29(o) 42(p)15(e)48(r) 24(h)3(a)v(60)15(e)48(r)15(e) 15(e)54(s)54(s)3(a) 48(r)27(i)9(c)29(o)36(n)29(o)54(s)9(c)27(i)60(u)57(t)29(o)
60(u)36(n) v(60)3(a)54(s)9(c)15(e)30(l)30(l)29(o) 9(c)3(a)48(r)27(i)9(c)29(o) 12(d)27(i) 29(o)30(l)27(i)29(o) 9(c)24(h)15(e) v(60)15(e)36(n)27(i)60(u)3(a) 3(a)30(l) 12(d)15(e)57(t)57(t)29(o) 30(l)60(u)29(o)21(g)29(o)
27(i)30(l) 45(q)60(u)3(a)30(l)15(e) 60(u)3(a)54(s)9(c)15(e)30(l)30(l)29(o) 36(n)29(o)36(n) 24(h)3(a)v(60)15(e)v(60)3(a) 30(l)3(a) 30(l)27(i)9(c)15(e)36(n)69(z)3(a) 9(c)29(o)54(s)27(i) 18(f)60(u) 42(p)48(r)15(e)54(s)29(o) 15(e)57(t)
42(p)15(e)48(r) 12(d)27(i)54(s)42(p)15(e)57(t)57(t)29(o) 18(f)15(e)9(c)15(e)48(r)29(o) 3(a)48(r)33(m)3(a)48(r)15(e) 30(l)15(e)54(s)60(u)12(d)15(e)57(t)57(t)15(e) 12(d)60(u)15(e)6(b)3(a)48(r)9(c)24(h)15(e) 3(a) 42(p)27(i)
21(g)30(l)27(i)3(a)48(r)30(l)3(a) 9(c)29(o)54(s)3(a) 9(c)24(h)15(e) 12(d)3(a) 15(e)54(s)57(t)48(r)15(e)33(m)39[e?] 12(d)29(o)30(l)29(o)48(r)15(e) 3(a)30(l)30(l)3(a) 57(t)15(e)48(r)48(r)3(a) 57(t)48(r)3(a)57(t)57(t)3(a)36(n)
12(d)29(o)54(s)27(i) 12(d)15(e) 57(t)60(u)48(r)6(b)3(a)57(t)3(a) 27(j)60(u)48(r)27(i)54(s)12(d)27(i)69(z)69(z)27(i)29(o)36(n)15(e) 15(e)57(t) 12(d)15(e) 30(l)3(a) 42(p)48(r)29(o)v(60)27(i)54(s)27(i)29(o)36(n)
15(e) 15(e)30(l)30(l)3(a) 30(l)29(o)54(s)3(a)42(p)48(r)3(a)

The plaintext is:
--lambasciadore nostro ritornato pochi giorni
sono di spagna raconto in senato li molti disgusti
che quelli ministri pretendono ricevere di qua sen
dosi vista tanta alienazione dal servizio di Midas con t
anti segni apparenti et particolarmente che si conp
orti qui persone che avisino e ragguaglino costi
tutto quanto passa in italia spettante alle cose di Midas
arte spagno lesca che vogliono inferire altro pero e
bene la ne sia auisata hieri laltro due barche di finale pr
esero la fregata delli guardiani del commerzio con tut
ti li huomini che vierano sopra quali sono stati
mandati ligati a milano per havere essa riconosciuto
un vascello carico di olio che veniua al detto luogo
il quale uascello non haveva la licenza cosi fu preso et
per dispetto fecero armare lesudette duebarche a pi
gliarla cosa che da estrem[e?] dolore alla terra trattan
dosi de turbata jurisdizzione et de la provision
e ella losapra

3 comments:

  1. I changed "ambiguous assignment" to "ambiguous reading frames."

    ReplyDelete
  2. Here is the figure-only ciphertext:

    999830333635492731229481536295457482948275729483635729422992427212729483627
    5429362912275442321363483929365729273654153635729302733293057271227542160545727
    92415456015303027332736275457482742481557153612293629482791560154815122745603541536
    12295427602754573573365733302715363692729361512330541548602769272912279293657
    33657275415213627342423481536572715574234857279293034833153657159241554279293642
    29485727456027421548542936159241536027542736291548321216032130273629929545727
    576057572945603365729423545432736275733027354421557573365715330301592954151227
    3485715544232136293015549392415602921302729362927361815482748153305748294215482915
    6153615303361554273360275435732427154827303305748291260156348924151227182736330154248
    1554154829303184815213573121530302721603481227336271215309293333154869272992936576057
    572730272460293327362792415602715483362954294248345603302754293629545735727
    333361235727302721357273332730336294215482436015481515545434827929362954927605729
    603660354915303029934827929122729302729924156015362760333012155757293060292129
    27304560330156035491530302936293624360156033033027915366939295427186042481554291557
    421548122754421557572918159154829348333481530155460121557571512601563489241534227
    2130273483039295439241512315545748153339122930294815330303571548483574835757336
    122954271215576048635732760482754122769692729361515571215303424829602754272936
    151530303302954342483

    ReplyDelete
  3. I posted a reconstructed table here (look under "BnF fr.15579").

    ReplyDelete