576 117 701 418 182 831 184 788 81 28 184 900 …
… … … … … … que … … … que …
36 = re · 95 = le · 184 = que · 243 = vous · 531 = pour

Paris and London → England · two-part codes of three-digit groups · 1719 and 1742–45

Paris 1719 and “Carré” 1742–45 code letters

British Library, Add MS 32305, catalogued as “unidentified cipher keys”; the volume is a codebreaker’s file of intercepted letters, on DECODE as R2963–R2979. The catalogue here grouped six of those records as one Paris correspondence of 1719–1749.

All twelve records R2963–R2974 were viewed. They are several unrelated letters. Most were deciphered between the lines at the time. Two codes were not decoded: the Paris letters of 7 and 10 February 1719, and the letters to Mr Carré in Pall Mall, 1742–45. The three Carré letters were transcribed in full (1,323 groups) and tested. They are in a two-part code of about 800 entries, and the attempt is closed.

Daniel Bourdeau · posted · updated

Method: not solved · Extent: text not obtained

Summary. Catalogue item 78 listed six DECODE records from BL Add MS 32305 under one unknown sender in Paris. The images show a working file of unrelated intercepts. R2963 (a German letter, 1719) and R2974 (a letter cipher, November 1749) carry full decipherments written over the figures at the time, and so do four neighbouring records outside the item. R2969, listed as the nearest key, is a frequency count headed “Carré 1742”. The open material is two codes. The Paris letters of 7 and 10 February 1719 (R2964, R2965) are clear French with runs of 3-figure code. The 7 February letter has 354 groups, 191 distinct values, 116 of them seen once, and the highest is 900. The decipherer of the time glossed about a dozen common values, and those glosses are not in alphabetical order, so the code is two-part and the known values do not constrain the others. The Carré letters (R2968, R2970, R2972, the middle one catalogued separately as item 70 and now folded into item 78) are entirely in figures, with no gloss and no crib. All three were transcribed: 1,323 groups, 381 distinct values from 1 to 800, matching the decipherer’s own tally on f. 13 to within one group in 300. A letter-by-letter homophonic solution scores no better than the same groups shuffled, and the value order does not follow French alphabetical order, so this too is a two-part code of word-level entries. Neither key can be recovered from this much ciphertext. Their key, a clear copy, or many more letters in the same code would be needed.

01 What the six records are

RecordFolioLetterState
R2963f. 5German, to a “Marquis”, 28 January [1719]; figures for names and words (1203 London, 1439 Theophili)deciphered interlinear: read
R2964f. 6“A Mr [name struck out]”, Paris, 7 February 1719, Extraitopen; about a dozen glosses
R2965f. 7Paris, 10 February 1719, Extrait, same writer and codeopen; the same glosses
R2968ff. 11–12“Anonyme à Monsr Carré en Pellmall à Londres”, March 1742, all figurestranscribed, tested; not read
R2970ff. 14–17“Copie d’une Lettre en Chiffre, sans date”, to Mr Carré in Pall Mall; endorsed “R Aug. 22 1742” (catalogue item 70, folded in here)transcribed, tested; not read
R2972ff. 22–23“Lond. 19 Janv. 1745”, all figures, the Carré codetranscribed, tested; not read
R2974ff. 25–28“L. 17/28 Nov. 1749”, 2-figure letter cipherdeciphered letter by letter: read

Around them are R2966 (a 2-figure letter cipher, deciphered), R2967 (London, July 1740, a few code groups glossed, 0813 = le Sr Walpole), R2969 (the Carré frequency count), R2971 (a 4-figure code with a full decipherment, about the Queen of Hungary) and R2973 (6 March 1749, glossed).

02 The Paris letters of February 1719

Four lines of the letter of 7 February 1719: J'avois été deja informé par, then figure groups with que, quil and vous written above some of them
R2964, f. 6r: “J’avois été deja informé par” and the code, with the decipherer’s que (184), qu’il (652) and vous (243) above. Image: British Library, Add MS 32305 f. 6r, via DECODE R2964.

The writer reports Lord Stair’s formal entry into Paris and his audience with the King, and tells his correspondent that he will stay in England “jusqu’au retour de S. M. Brit.” The clear text uses a family cover (“vos Parens”, “votre Cousin”, “le caractère des esprits de votre Famille”), and the second letter opens on the coming war with Spain and Cardinal Alberoni. The persons are figures marked with a cross: 27, 258, 285, 611.

The decipherer glossed 36 = re, 88 = pas, 95 = le, 184 = que, 243 = vous, 347 = a, 531 = pour, 652 = qu’il and 786 = s, the same values in both letters. That is 33 of the 354 groups of the first letter. In a one-part code, where values run in alphabetical order, these would bracket the rest. Here re (36) comes before pas (88), le (95) and que (184), and a comes at 347, so the code is two-part and its order says nothing. With about 700 groups in the two letters for a code of some 900 entries, most values occur once, and the decipherer glossed no more than the recurring values.

03 The Carré letters, 1742–45

Three letters addressed to “Mr Carré in Pall Mall”, entirely in 3-figure groups, with no clear text and no gloss. All three are fair copies made by the intercepting office. R2968 (ff. 11–12) is headed “Anonyme à Monsr Carré en Pellmall à Londres”, March 1742. R2970 (ff. 14–17) is a “Copie d’une Lettre en Chiffre, sans date”, addressed with the writer’s mark ΔΔΔ to Mr Carré “en Palmal” under cover to a Mr Chevening(?), jeweller near Charing Cross, signed “Anonyme” and endorsed “R Aug. 22 1742”: it was received on 22 August 1742, five months after R2968. R2972 (ff. 22–23) is dated London, 19 January 1745.

RecordGroupsDistinctHighest
R2968372208796
R2970470219800
R2972481196796
All three1,323381800

The transcription checked against the decipherer’s tally. R2969 (f. 13, “Carré 1742”) counts the groups of the two 1742 letters together, R2968 and R2970, including a line the copyist of R2968 wrote twice and bracketed. With that line included, the transcription here gives exactly R2969’s figure for 686 (20), 212 (19), 106 (18), 121 and 12 (14), 707 (12), 781 (11), 539 and 621 (10), and fifteen more values down to 7; it differs by one for 573, 27 and 772. So the text is sound to about one group in 300. R2969’s tentative de for 686 and 106 and la for 121 are tentative guesses marked with dots.

Statistics. 147 of the 381 values occur once. Every hundred from 1 to 800 has 36–62 distinct values in use, so the whole range is live. The profile is flat: the commonest value, 212, is 2.3% of the text, then 12, 106 and 686 at 1.8–2.0%. Repeats are short: 94 repeated bigrams, 24 trigrams, 8 four-grams and one five-gram (151 521 330 621 212, in both 1742 letters). A run 95 57 606 451, three times in 1745 and underlined by a later hand, is probably a name spelled out. The 1745 letter uses the same code: 73% of its tokens are values seen in 1742. The intercepting clerk underlined single groups, probably proper names; 135, 204, 785 and 80 are underlined in both 1742 letters.

Not a letter cipher. An assignment of one letter to each group was annealed against a French 4-gram model. It reaches −2.09 and −2.11 per character on the real text, and −2.12 and −2.17 on the same groups in shuffled order: no difference, and the output is not French. With 381 types for 1,323 tokens a homophonic letter cipher would be overfitted in any case; the type–token ratio and the frequency profile are those of a word code.

Not a one-part code. In a one-part French code the mass of le, la, les, que, qui, et, en would pile up in their alphabetical bands. The observed token mass per band of 50 values, set against what an alphabetical list of the 700 commonest French words predicts, correlates at r = −0.26. Placing the 30 commonest values at their proportional alphabetical positions does no better than chance: 86% of 2,000 random placements do as well. The contemporary guess of de for both 686 and 106, two values far apart, points the same way. This is a two-part code of about 800 entries, like the Paris 1719 code in the same volume, whose glosses show the two-part order.

The language is assumed to be French from the headings; nothing in the figures confirms it. 1,323 tokens of a random-order code of about 800 entries allow a handful of guesses for the commonest words and no way to check them, and no crib is known. The decipherer of 1742 stopped at the frequency count and a few pencil letters under R2972. The attack is closed.

04 Catalogue item 79: the Dresden and Hague records

Item 79 put the last two records of the volume together as “Unknown sender (Dresden), 1750–53”. They were viewed on 21 September 2026, and neither is an open cipher. R2978 (f. 32) is a French letter headed “Dresde 25. Janv. 1750” in a 2-figure letter cipher. The decipherer of the time wrote the plaintext letter by letter over every line (“…que l’on ignore pas les dangers auxquels notre position nous expose… les insinuations de Mr de Guydickens…”). R2979 (f. 34), “Hanau to Fer., Hague 9 Aout 1753”, is the decipherer’s own working copy of a letter in a 4-figure syllable and word code. The clear syllables are written out and the groups he decoded are glossed (1688 = si, 1560 = roi, 3227 = Devonshire). The rest are left as figures, and the sheet ends “Ici on parle du mariage de 3245 avec 3263” beside a column of question marks. The first record was deciphered in full at the time, and the second in part. Item 79 has been removed from the catalogue.

05 What is needed

06 Sources

Transcriptions of R2964 and of the three Carré letters (carre/, with the test scripts), notes and profile: bl32305/ in the repository.