Republished copy of Daniel Bourdeau’s Unsolved Historical Ciphers, released under CC BY 4.0. Text unchanged; hosted by JIC alongside its translations; not an official copy by the author · View the original ↗
J, ∂, m y r̈ l 4 a g ȥ p̈ ṫ f̈ ‡ ꞔm r p̈ o 63 p ‡ f q ȥ ‡ ꞔm d b q y ȏ
ꞔm r f, s̈ 48 x̊ B c a q ȥ l, m g ȥ r x 4 J ſ ꞔm ꝑ t h f

Paris → Rome · homophonic cipher of letters and figures, with dotted word signs · November 1601

Henri IV to Philippe de Béthune, 9, 10 and 22 November 1601

Henri IV
fromHenri IV
Philippe de Béthune
toPhilippe de Béthune

BnF Français 3484, nos. 7, 8 and 12 (ff. 33, 34, 46–47), the sent originals signed Henry and countersigned by Villeroy’s secretary · catalogue item 22, “avec chiffre”, no decipherment on the leaves

The key was recovered from adjacent plaintext: the clear minute of the 10 November letter, four leaves on, and the marginal decipherments of other letters in the volume. The 10 November letter is deciphered in full. The 22 November letter is mostly clear French and is transcribed in full; its eighty short cipher runs are decrypted only in fragments. The 9 November letter, a page of cipher with neither minute nor gloss, is decrypted at about six words in ten, and a measured upper bound shows that its transcription allows no more. No earlier decipherment of the 9 and 22 November letters was found.

Daniel Bourdeau · posted · updated

Method: key recovered based on adjacent plaintext · Extent: partial (55% of the cipher)

Summary. Fr. 3484 is the file of Henri IV’s letters to Philippe de Béthune, sent to Rome as ordinary ambassador in August 1601. The notice marks some twenty-five of them “avec chiffre et déchiffrement” and three, of 9, 10 and 22 November 1601, “avec chiffre” alone. The decipherments are the receiving office’s: numbered paraphrases in the margin of the cipher leaf, or, for 10 December, a verbatim footnote. The three letters without a decipherment fall at the moment of the Este–Aldobrandini debt settlement, Biron’s conspiracy and the dauphin’s birth. A survey of the volume on contact sheets showed that what the notice calls “copie du n° précédent” at f. 36 is the minute of the 10 November letter, in clear, corrections and all: every enciphered passage of f. 34 has its text there. The two were aligned, together with the glossed passages of 8 November and 10 December, by a statistical aligner (EM) seeded from hand checks at four and seven times magnification. This gives the cipher’s design, its key for most letters and some twenty word signs. It is the design Bazeries printed in 1901 as the “chiffre baillé à M. de Béthune, 1599” for the elder brother, with other values: letters are figures and letter-shaped symbols with homophones, letters with a comma, one dot or two dots are common words in alphabetical series, two-digit figures are names (48 = Cardinal, 17 = Aldobrandin, 7 = le Roy d’Espagne). The 10 November letter is the King’s payment to Cardinal Aldobrandini for the Peace of Lyon: ten thousand écus paid through Sillery, ten thousand more promised for the first four months of 1602 “sans avoir esgard à l’arrest obtenu par lad. duchesse de Nemours”, to be announced through Cardinal d’Ossat with Béthune pretending not to have received the letter. The 22 November letter, four pages, interleaves clear French with eighty short ciphered runs inside the same lines, so the clear text carries most of the sense. It is transcribed in full, and its cipher runs are decrypted in fragments. Its subjects are the Camaiano pension paid to “relever le party françois a Rome”, Barberini’s coming, the Pope’s two audiences, and the courier sent to invite him to the dauphin’s baptism. The 9 November letter, one page entirely in cipher after “il me mande qu’il est certain que”, has neither minute nor gloss and is decrypted at about six words in ten. An upper bound computed for this page (an oracle bound) shows why: the decoder already scores above the ceiling its own transcription allows, so about 29 % of the letter’s letters cannot be produced by its glyphs as transcribed. Ten further attempts, each measured, did not raise it. Status: 10 November deciphered; 22 November transcribed, its cipher runs decrypted in fragments; key recovered for letters, syllable groups and common words, with the doubling sign; two-digit names open; 9 November about six words in ten, at the measured ceiling. The next step is archival: Cinq cents de Colbert 346.

01 The documents

Philippe de Béthune, younger brother of Rosny (the future Sully), left for Rome with his instruction of 23 August 1601 (no. 2 of the volume) and served as ordinary ambassador until 1605. The letters of the King to him in fr. 3484 run from October 1601 to October 1602. They are the sent originals, signed Henry and countersigned de Neufville, that is Villeroy’s office, and the cipher is that office’s. Where the office in Rome deciphered a letter it wrote the decipherment in the margin, in a smaller hand, numbered 1, 2, 3 to the passages, or as a footnote keyed with a sign; the volume keeps those decipherments. Three letters have none.

LetterFolioCipherPlaintext available
Paris, 8 Nov 1601 (no. 6)30v–31vsix passages, one to five linesnumbered marginal glosses, near-verbatim
Paris, 9 Nov 1601 (no. 7)33r22 lines, the whole body after “il me mande qu’il est certain que”none
Paris, 10 Nov 1601 (no. 8)34r–vfour passages, 17 linesthe minute, f. 36r–v, in clear (the notice’s “copie du n° précédent”)
Saint-Germain, 22 Nov 1601 (no. 12)46r–47vc. 40 lines in blocksnone; ff. 45 and 48 are address leaves
Paris, 10 Dec 1601 (no. 13)49v–50r5 + 9 linesverbatim footnote on 49v, marginal glosses on 50r
24 Dec 1601, Jan 1602 (nos. 14–17)53, 56–57blocks of 9–11 linesmarginal glosses
BnF fr. 3484 f. 34r, the first enciphered passage of the 10 November 1601 letter
Fr. 3484 f. 34r, lines 14–17: “…donné du parlement de ceste ville, J, ∂, m y r̈ l 4 a g ȥ …”: the first enciphered passage of the 10 November letter (Gallica, btv1b52523722c, canvas 75). Image: Bibliothèque nationale de France, fr. 3484 f. 34r, via Gallica (btv1b52523722c, canvas 75).
BnF fr. 3484 f. 36r, the minute of the same letter in clear
Fr. 3484 f. 36r, the minute: “…mais je fus bien aise d’avoir ce pretexte de gratifier led. Cardinal et luy tesmoigner ma bonne volonté…”: the same passage in clear (canvas 79). Image: Bibliothèque nationale de France, fr. 3484 f. 36r, via Gallica (btv1b52523722c, canvas 79).

02 The design

Bazeries (Les chiffres secrets dévoilés, 1901, pp. 28–29) prints the “chiffre baillé à M. de Béthune” of 1599, given to Maximilien for his mission to England. Each letter has a figure (A = 3, B = 10, C = 8 …) and two or three arbitrary symbols; thirty names are figures with two dots (Le Roy 4̈, Le Roy d’Espagne 2̈); some eighty common words are letters with a comma (a, ayant … y, et, z, nous), with one dot (entre … mons) or with two dots (nostre … selon), each series alphabetical; the figures 2 to 11 with a comma are tout, tant, toutesfois … vivs; a Δ doubles the preceding letter and y and $ cancel it. The 1601 cipher of the younger brother is the same office’s design two years on, with new values: f, = le, g, = la, x, = que, r, = par, q, = pour, d, = je in the comma series (the initials run l, l, q, p, p, j: alphabetical by groups, as in 1599); f: = au, s: = dit, x: = et, y: = ent in the two-dot series; t. = de, p. = ce with one dot; 61 = qui, 63 = re, 65 = si as syllable groups; 48 = Cardinal, 17 = Aldobrandin, 7 = le Roy d’Espagne as names; 68 = tout and 71 = tion are further syllable groups (toutes = 68 ȥ g, affectionne ends 71 g ȥ). The letters: e = ȥ ‡ ε 0; a = 4 6 u; i = hooked m, v, a, 1; o = f + t; t = q 7; u/v = ꝑ, y, c; s = g, 2-shaped r, n; r = r ∂; l = h B S; m = x; g = plain m, hooked u; c = b e; p = o T; b = n; y = a. The sign φ is the doubling sign Bazeries describes in the 1599 key (“Δ doublera son prochain précédent”): somme is written s-o-m-φ-e, l’année l-a-n-φ-e-φ, Sillery has h-φ for ll, occasions o-c-φ, retrouve u-φ (u and v one letter), mienne mie-n-φ-e. The “gratification” of f. 34 is written x 6 ꞔu ∂ u p ꞔm m v b 6 7 1 f: m-a-g-r-a-t-i-f-i-c-a-t-i-o(n), with the figures 6 7 1 for a t i, the design’s figure-letters.

03 The 10 November letter

The minute gives the enciphered passages word for word (differences: one word-sign where the minute has “de sorte”, “faites semblant” for the minute’s “taschez qu’il n’en soit rien dit”). In the King’s voice: after the Parlement of Paris had given judgment in the Este–Aldobrandini debt, he “fus bien aise d’avoir ce pretexte de gratifier led. Cardinal et luy tesmoigner ma bonne volonté … de sorte je luy fis payer des lors dix mil escuz par l’entremise du sieur de Sillery”; he has now ordered “qu’il face payer aud. Cardinal dedans les premiers quatre mois de l’année prochaine la somme de dix mil escuz par les mesmes mains … sans avoir esgard à l’arrest obtenu par lad. duchesse de Nemours, ny au besoing d’argent auquel je me retrouve. Car j’affectionne led. Cardinal et desire m’acquitter de lad. promesse que je luy ay faicte”; Béthune, after conferring with Cardinal d’Ossat, is to let Cardinal Aldobrandini know “de facon qu’il recoive et estime ceste grace comme elle merite”, to pretend “que vous n’aiez receu la presente”, and to be “le premier qui en avertira led. Cardinal Aldobrandin”. Pietro Aldobrandini, the Pope’s nephew, had made the Peace of Lyon in January 1601; in this letter the King pays for it and manages how the gift is announced. The full text is in the repository (targets/bethune/reading_10nov.md).

04 The 22 November letter

This letter was expected to be the harder of the two open ones: forty lines of cipher in blocks, the notice said, with no clear copy anywhere in the volume. The four leaves at full resolution show otherwise. The cipher is broken into eighty short runs set inside lines of ordinary clear French: the King’s secretary enciphered only the names, the sums and the sharpest judgements and left the grammar around them in clear. The clear text therefore carries most of the sense, and the content can be followed without decrypting the runs. All four pages are transcribed in targets/bethune/reading_22nov.md. No earlier transcription or decipherment of this letter was found in the volume, in Berger de Xivrey or in Colbert 17; Halphen’s edition (below) was not seen.

It answers Béthune’s despatch of 29 October, received on the 18th, and is signed Henry and countersigned de Neufville. Its core is a rebuke, in clear, of two persons the cipher names only by code group: “Il me semble que [20] [S 12], qui sont douez de toute prudence, ont faict faulte de n’avoir rompu ce coup, car ilz l’eussent faict facilement s’ilz y eussent pensé et operé d’heure, ainsi qu’ilz devoient. Mais ilz se sont contentez de … meuz d’autres considerations …” On money and discipline the King will “donner ordre que la pension que j’ay accordée au s.r Camaiano sera bien payée”, all to “relever le party françois a Rome”; but Béthune is to give no “esperances ou [fermes] des promesses a d’autres” without express command, “afin de n’abuser personne ne moy le premier”, and to act always “après toutesfois en avoir conferé avec le Card.al d’Ossat”. He acknowledges the Pope’s “bon accueil … aux deux audiences quelle vous a données”; he will receive Maffeo Barberini (the future Urban VIII, then on his way to France) “le plus favorablement que je pourray po[ur] le respect de sa S.té”; on the Jesuits he refers back to an earlier letter and will await the Pope’s answer; and he complains of an agent “qui reside en Suisse, accompagné d’un certain Julio de la Torre y Travers[i]”, whom Cardinal Aldobrandini had already reprimanded. The third leaf ends in clear on the household news that dates the whole file: “J’attends en bonne devotion le retour du courrier que je vous ay envoié pour convier sa S.té au baptesme de mon filz, lequel se faict tres bien nourrir et se fortifie a veue d’oeil”. The son is the dauphin, born on 27 September. The letter is dated “Escrit a St Germain en Laye le xxij.e jour de 9bre 1601”, and a postscript, signed again, countermands part of what precedes it.

The eighty ciphered runs are in targets/bethune/ct_22nov.txt. Decrypted with the key they give fragments only (le cardinal aldobrandin, attenter a este toute, suisses, octobre, saincteté au), the same ceiling the 9 November letter meets, for the same reason. Two values are confirmed by their clear frames, 73 = vostre and the pair 48 17 = Cardinal Aldobrandin. Fifteen groups remain open; three of them have frames that constrain them, and one, 72, has a proposal against it as well as for it (see below).

05 The 9 November letter, and the ceiling on it

The corpus of known plaintext (the 10 November pair, the six glossed passages of 8 November, the footnote passage of 10 December, about 1,650 letters) was aligned by an EM procedure in which each symbol may stand for zero to twelve letters under a proper prior over strings, seeded with the values fixed by hand and allowing nulls only on the signs Bazeries’ design uses for them. The resulting P(letter | symbol) feeds the decoders. A second pass re-transcribed the leaf symbol by symbol at four times magnification, fixed the doubling sign, the syllable groups, ꝑ = u/v and a dozen letters on words of the minute, and raised the decryption to about six words in ten: …sera la promotion au cardinalat … Alexandre … ensemble ce que vous aurez … jamais il m’avoit dit … propos de rechercher le cardinal … de vous dire la res[olution] … de telles pratiques … des advis desdits car[dinaux]. A third pass added a bigram language model built from Xivrey’s 1.43 million words, which brought in sur le revenu de Naples, le nunce resident, les cardinaux … enclins a la [26] and aux prudens advis desdits card[inaux]. The letter concerns the Spanish pressure over Don Alexandre’s cardinalate and the cardinals’ advice; its clear opening had suggested military news.

The third pass also gave a way of telling when to stop. An oracle bound lets every transcribed symbol emit any value in its model’s support and asks how many of the true letters it could then possibly produce. On the known-plaintext blocks that ceiling is 71.0 %, while the decoder scores 74.5 %: it is already above its own emission bound, getting a few letters right by accident. Further work on the search or the language model cannot help, because roughly 29 % of the true letters cannot be produced by the glyphs as transcribed.

Ten things tried against that bound, all measured; none raised it.

Two careful transcriptions of the same ink agree on 69 % of its tokens. This hand does not carry enough information at roughly 450 dpi to fix its glyphs, which is what the 71 % bound says in another form.

The confusions lie within the glyphs. In conduitte, whose decryption is verified against the minute, the same m-shaped glyph stands for d in one position and i in the next, the two differing only by a hook. The three families recorded earlier (an open-tailed and a looped g for n and s, three m-shapes for g, d, f, r against the 2-shaped r for r and s) are real, and no magnification separates them. The note in the repository that called the remainder “a day’s work, mechanical” has been corrected there, with the numbers; the two-digit names were not the obstacle.

06 The code groups, and one proposal with evidence both ways

The groups that carry the substance of both open letters (2, 5, 6, 8, 9, 12, 20, 28, 31, 44, 66, 67, 69, 72, 80) occur only where there is no decipherment. Three have clear frames that constrain them: S 12 and 20 are the two persons “douez de toute prudence”; 28 is a place, from “ce[luy] m’a escrit de [28]”; 44 follows “et par consequent”.

One has a proposal, recorded here the way this project records unconfirmed things. 72 = vous: the collocation “x , 72” (que followed by 72) occurs four times across ff. 46r, 46v, 47r and 33; 72 opens a line three times; and on f. 53r, whose marginal decipherment is verbatim rather than a paraphrase, the gloss reads “…je ne suis pas d’auis que vous pressiez sa Sain.té…” exactly where the cipher runs x , 72 , T 63 , r S Z, which with the established T = p, 63 = re, r = s, Z = e gives que · vous · p-re-s-s-e. Against it: the block on f. 49v ends … 63 72 while its footnote gloss ends “il sera meilleur de differer a luy en parler”, where a final vous is hard to place. Either the ciphered block runs on past the passage the footnote glosses, or 72 is something else. It stays unconfirmed, and is used in no decryption on this page.

The glossed leaves can settle them. At full resolution ff. 53r and 56r are tractable: their decipherments are verbatim, and whole clear phrases sit inside the ciphered blocks (“discours d’aultruy. Il fault” on f. 53r, “Mais je ne croy pas quil le face” and “si ce n’est pour” on f. 56r), each also in the gloss, in the gloss’s own order. These give fixed anchors for an alignment. f. 53r contains 66 and 72; f. 56r’s margins name the King of Spain and Archduke Albert in clear. Neither block is transcribed.

07 What would finish the 9 November letter

The clear text of both open letters should exist in a copy register, and the search found the likely volume. BnF, Cinq cents de Colbert 346 is “Copies des despesches concernans l’ambassade de Messire Philippe de Bethune, conseiller du Roy en son Conseil d’Estat, à Rome, en 1601-[1605]”, whose first volume runs 23 August 1601 to 22 November 1602 and holds letters of Henri IV, Marie de Médicis, Villeroy and Béthune. That range covers both the 9 and the 22 November letters, and a copy register of this kind is made from the minutes, that is, in clear, which is how the 10 November letter could be deciphered here. It is not digitised: Gallica’s SRU returns no record for it. Consulting it in the Salle des manuscrits, or ordering reproductions, is the next step for this target.

Separately, Eugène Halphen edited Lettres inédites du roi Henri IV à monsieur de Béthune, ambassadeur de France à Rome, du 18 octobre au 24 décembre 1601, an edition covering precisely this stretch. It is in the HathiTrust catalogue (record 100644113) and not in Gallica, the Internet Archive or Open Library. Whether Halphen printed the ciphered passages in clear (which would have required the minutes) decides whether these letters count as already in print, as fr. 3077/3078 did for Du Bellay.

Checked and excluded as sources of a clear text: Berger de Xivrey’s Recueil, vols. I–V, which prints a Béthune letter of 10 October 1601 but nothing for November; Mélanges de Colbert 17, whose first part is still running instructions at p. 179 and whose second is 1602–05; and BnF fr. 3677 and 3678, the “Registre des lettres que monseigneur de Bethune a escrites en France durant son ambassade de Rome”, which belong to the second embassy of 1624–30.

08 Sources