“And now, young man, just look at it, and do you not think it is very much like what is in the document? Well, what is the consequence? Why, that the signification of the letters depends on a cipher which chance puts beneath them, and the cryptographic letter which answers to a true one is not always the same. So in this phrase the first j is represented by an l, the second by an n; the first e by an h, the second b a g, the third by an h; the first d is represented by an h, the last by a g; the first u by an x, the last by a y; the first and second a’s by a c, the last by an e; and in my own name one r is represented by a u, the other by a v. and so on. Now do you see that if you do not know the cipher 234 you will never be able to read the lines, and consequently if we do not know the number of the document it remains undecipherable.”
On hearing the magistrate reason with such careful logic, Manoel was at first overwhelmed, but, raising his head, he exclaimed:
“No, sir, I will not renounce the hope of finding the number!”
“We might have done so,” answered Judge Jarriquez, “if the lines of the document had been divided into words.”
“And why?”
“For this reason, young man. I think we can assume that in the last paragraph all that is written in these earlier paragraphs is summed up. Now I am convinced that in it will be found the name of Joam Dacosta. Well, if the lines had been divided into words, in trying the words one after the other—I mean the words composed of seven letters, as the name of Dacosta is—it would not have been impossible to evolve the number which is the key of the document.”
“Will you explain to me how you ought to proceed to do that, sir?” asked Manoel, who probably caught a glimpse of one more hope.
“Nothing can be more simple,” answered the judge. “Let us take, for example, one of the words in the sentence we have just written—my name, if you like. It is represented in the cryptogram by this queer succession of letters, ncuvktygc. Well, arranging these letters in a column, one under the other, and then placing against them the letters of my name and deducting one from the other the numbers of their places in alphabetical order, I see the following result:
Between n and j we have 4 letters — c — a — 2 — — u — r — 3 — — v — r — 4 — — k — i — 2 — — t — q — 3 — — y — u — 4 — — g — e — 2 — — c — z — 3 —
“Now what is the column of ciphers made up of that we have got by this simple operation? Look here! 423 423 423, that is to say, of repetitions of the numbers 423, or 234, or 342.”