Experiment 34

“Finish the job at the surviving periods: fix the 24 forced key letters, climb the rest by English, and see how English the text can get”

The first experiment that produces full candidates. At every period the cribs allow (27-29, and 53-95 sampled every third) under the 24 conventions, the forced key slots are fixed and the free slots are chosen to maximise the English score of the other 73 letters. The question is how English the best text is, against the same procedure on shuffled K4.

revertedstatus
experiment 5parents
25 mintime, all phases
18candidates
24/24known letters

Kept when it ran, under the rule of the time. Under the rules decided on 2026-10-15 it is not: 18 candidate(s) fail the shuffled-copper baseline: the record has no set of ten or more controls their English must beat.

1

The experiment method

What the method does with the 24 known letters.

For a repeating secret wordthe secret word The word or string a cipher needs besides the method. of length 27, 28 or 29, the 24 known lettersthe known letters Sanborn has confirmed that positions 22 to 34 of the message read EASTNORTHEAST and positions 64 to 74 read BERLINCLOCK. fix 24 letters of the word and leave a few unknown. We fill the unknown ones in every way and read the messagethe message The 97 letters of English that Jim Sanborn wrote and enciphered. that comes out, keeping the one that reads most like Englishthe English score A number saying how much a stretch of letters looks like English, computed from how common each run of four letters is in English text.. If the cipher really were of this kind, one filling would read like a real message. We also run the same game on scrambled versions of the carved textthe carved letters The 97 letters cut into the copper at the CIA, shown at the top of every experiment page., to see how English-looking a text can be made by filling alone.

Words in the margin are defined on the glossary page.

1.1

The method at work

The carved letters go in at the top; the reading comes out at the bottom.

OBKRUOXOGHULBSOLIFBBWEASTNORTHEASTOTWTQSJQSSEKZZWATJKLUDIAWINFBBERLINCLOCKWGDKZXTJCDIGKUHUAUEKCARIN: THE COPPER, ALL 97 LETTERS, THE 24 KNOWN PLACES IN ACCENTLGZVHKFBYMIMUHPSIHZMLQTELWEHGZUPFHUIBBFTXDHEKZNUABBJSOGDXEPUSRFOGHTTKPBKSDthe key: 74 letters,24 forced, 50 chosenplaces 75 to 97 reuse slots 1 to 23slot 3: no known letter reaches it; the climb chose Zplace 22: known E over carved F forces key letter Qforced by a known letterchosen by the English climb24 of 24 known letters land, by construction;the other 73 are not EnglishOUT: THE READING 34 KEPT UNDER THE OLD RULE; ALL 24 KNOWN PLACES IN ACCENTWHEUSHESTIONSTEONLYCOEASTNORTHEASTNTHETHESTATESTIMENTSANDINGATIBERLINCLOCKONTHEWARKENHISTHESOMESG
the key

A secret word of 74 letters repeats under the message, one letter per place, so place 75 uses the first letter again. On the sculpture's table, a known letter over its carved letter fixes the key letter in its slot: 24 slots are fixed that way.

the climb

The other 50 slots are free. The experiment tried all 26 letters in each, again and again, keeping whatever made the reading look most like English. That is a lot of freedom for 73 letters.

why it is not a solution

The reading scores -3.70 on the English scale, where real English is about -3.6, and the same climb on a shuffled copper scores better, -3.23, so under the rules of 2026-10-15 it fails the baseline gate. Its key takes 356 bits to write down, almost all of its loss of 5.03.

2

Best candidate against the known letters

Laid out as the copper carries K4: OBKR ends the line that finishes K3, then three lines of 31. Left, as carved, the 24 known places in accent. Right, the candidate: a known place it gets right is an accent cell, one it misses is outlined. This is the lowest-loss reading that passed the original gates.

in: the copper, always the same

as carved, 97 letters; the 24 known places in accent
ECDMRIPFEIMEHNLSSTTRTVDOHW?OBKR
UOXOGHULBSOLIFBBWFLRVQQPRNGKSSO
TWTQSJQSSEKZZWATJKLUDIAWINFBNYP
VTTMZFPKWGDKZXTJCDIGKUHUAUEKCAR

OBKR ends the line that finishes K3, then three lines of 31

out: the candidate

every place read; known places in accent, misses outlined
ECDMRIPFEIMEHNLSSTTRTVDOHW?YJAE
IVIZKOYDBEACIOSSLEASTNORTHEASTV
CACZLEVESITMILANBACMIIXDCHKYBER
LINCLOCKATTHIZQLLPDLOFDFOIJGUSM

checked: the known letters in place, and the reading turns back into the copper

3

How the score is made

The loss of the best candidate, part by part. Zero is solved.

Known letters missed0 of 24, ten points each0.00
Englishthe 73 free letters score -6.71; English text scores -3.63.11
Key144 bits to write it down (key words are cheap, arbitrary letters 4.7 bits each); each 60 beyond 60 costs a point1.40
Lossof 240, the worst possible4.51 1.9%

All 18 candidates that passed every gate, lowest loss first.

rankmissedEnglishkeylossshare
103.111.404.511.9%best
203.211.334.531.9%
301.183.524.702.0%
401.513.284.792.0%
500.444.464.902.0%
603.661.254.902.0%
700.714.224.942.1%
800.104.935.032.1%
900.414.695.102.1%
1000.015.165.182.2%
1101.433.755.192.2%
1201.303.995.292.2%
1300.005.405.402.2%
1400.005.635.632.3%
1500.005.775.772.4%
1600.006.106.102.5%
1700.006.346.342.6%
1800.006.576.572.7%
4

Walkthrough, by hand

Redo the method on a few letters with pencil and paper.

  1. Take period 27 and the sculpture's alphabet with Vigenere.
  2. The 24 known letters force 24 of the 27 key letters; say slots 0, 9 and 17 are free.
  3. Put any letters in the three free slots and decrypt all 97 letters.
  4. Change slot 0 through A to Z, decrypting each time, and keep the letter that makes the 73 unknown letters read most like English.
  5. Do the same for slots 9 and 17, then go round again until nothing changes.
  6. Read the result.
  7. Start again from different letters a few times and keep the best.
the worksheet: the first steps by hand, on squared paper
THE LEDGER FOR A 74-LETTER KEY: MESSAGE READ ON THE SCULPTURE'S ALPHABET, CARVED LETTERS ON THE PLAIN ONEplaceknowncarvedslot (mod 74)key letter22EF22Q23AL23T24SR24E64BN64O65EY65G... and so on for all 24 known letters: 24 slots fixedthen one free slot: slot 1 (place 1, carved O)try Aplace 1 reads Atry Eplace 1 reads Ptry Tplace 1 reads Dtry Lplace 1 reads WkeptThe climb keeps whichever letter makes thewhole reading score best, then moves tothe next free slot.The kept key begins LGZVHKFBYM. Twenty-six triesper free slot, 50 free slots, a few passes: anafternoon by hand, a second by machine.What the sheet cannot tell you is whetherthe English it finds is real: the sameclimb on a shuffled copper scores thesame.
5

Worked example, generated

The same steps run by the code on the real letters.

period 27, KRYPTOS alphabet throughout, Vigenere; 24 slots forced, 3 free, climbed by English (3 restarts)

key   YWOYNKYUYELYOIECBAQKMRDUMRI
text  PEUZYOVDEPTIPLQBAOHBOEASTNORTHEASTDYFGMRRCWXTSZAVWCXZYNGDOTILLSBERLINCLOCKOFKOAWIHFOGQKNNNVTCUQVM
English of the free letters -7.790 (English about -3.6, noise about -6.5)
6

Hypothesis, for a cryptanalyst

Family, key space, the constraint under test, and the clues it reads.

0005 left periods 27-29 and 53-97 alive under every convention, and 0009 showed the forced key stretches are noise; but noise in the key is compatible with a real periodic cipher if the key is not a word. The remaining test is the plaintext: fix the 24 forced slots, choose the 3 to 73 free slots by coordinate descent on the quadgram score of the 73 non-crib letters, with twenty random restarts, and record the best score per period and convention. A true periodic cipher at one of these periods would give a text scoring near English, about -3.6, at that period and convention; the same climb on shuffled K4 calibrates what overfitting achieves, which rises with the number of free slots. Candidates are submitted; they pass the crib gate by construction, so the English deficit and the key cost carry the verdict, and a 27-letter random key costs about 67 points of loss on its own. Bounds: coordinate descent is not exhaustive above period 27; period 27 is close to exhaustive with twenty restarts over 3 free slots.

7

Prediction

Written before the run; the result decides it.

At periods 27-29 the best English score is below -5.0 per quadgram under every convention, the same as on shuffled K4, far from the -3.6 of English. At periods 53-97 the climb reaches -4.5 or better on both K4 and shuffled K4 because of the many free slots; the gap between them is under 0.2. Candidates pass the gates but carry a loss above 60 from the key cost; none reads as English.

8

Method

  1. For each convention and live period, force the key letters at the crib slots.
  2. Start the free slots at random; repeat: for each free slot in turn, try all 26 letters and keep the one giving the best score of the non-crib letters; stop when a pass changes nothing.
  3. Twenty restarts; keep the best.
  4. Submit the best text per period as a candidate.
  5. Repeat the whole procedure on three shuffles of K4.
9

Result and bounds

The harness's record: candidates, gates, loss, and the negative result this experiment leaves behind.

18candidates returned
18passed every gate
24/24known letters, best
1.9%lowest loss
nonechampion before

All 18 candidates, lowest loss first.

1passed every gate24/24 known lettersloss 1.9%
ECDMRIPFEIMEHNLSSTTRTVDOHW?YJAE
IVIZKOYDBEACIOSSLEASTNORTHEASTV
CACZLEVESITMILANBACMIIXDCHKYBER
LINCLOCKATTHIZQLLPDLOFDFOIJGUSM

period 29 key HYHMKBNENTXBQRMAEROOOXYHANZEF (5 free slots climbed); kry/kry/std/beau

2passed every gate24/24 known lettersloss 1.9%
ECDMRIPFEIMEHNLSSTTRTVDOHW?RYIH
BKSCNNJARISEYUCCTEASTNORTHEASTW
HCOFHCGDMXKAATSIXNHCIURRORLDBER
LINCLOCKTHEJUFYFLIUAILUSCILVXVL

period 28 key NZVDMORFNOEEADIAGKSSSUELRXLO (4 free slots climbed); kry/std/std/vig

3passed every gate24/24 known lettersloss 2.0%
ECDMRIPFEIMEHNLSSTTRTVDOHW?ISIN
GHICNNJARISEYUNDEEASTNORTHEASTN
ETINTHEREINTEDTOTHERECORDSONBER
LINCLOCKHIMJUFYFLIUAILUSOFFSOFV

period 56 key BFFCTASVNMWWAXSAUQSJPGWPJDPMNBFXOMFSIWDMFVJTLJFMOEMVEAHI (32 free slots climbed); kry/std/std/varbeau

4passed every gate24/24 known lettersloss 2.0%
ECDMRIPFEIMEHNLSSTTRTVDOHW?PATE
OVERSCURFONVGFSQYEASTNORTHEASTA
RELEDFEATHESTHEPRESHANINTSTIBER
LINCLOCKNFGEEHNBSHCEBUDGEARESSU

period 53 key PRPUBCROXCHYSSRSHDNLQCECHPTSDQDDDEHDKTQUHQMEEHLMPTBKH (29 free slots climbed); std/std/kry/beau

5passed every gate24/24 known lettersloss 2.0%
ECDMRIPFEIMEHNLSSTTRTVDOHW?IRWA
HOTALLISAREATHENTEASTNORTHEASTI
NANDSOMESANDINTHERENTHERSEARBER
LINCLOCKSSIONESISSTINGETPVCHACT

period 68 key SDHLGKTHUVFNRRDEIXWHPREZYPYXXSYDKZSSVSGKUTHKTWVLCAFONAADRVOJCODFQXDE (44 free slots climbed); std/std/kry/vig

6passed every gate24/24 known lettersloss 2.0%
ECDMRIPFEIMEHNLSSTTRTVDOHW?ZWAW
FAFIWGMGOGMDROTMAEASTNORTHEASTI
STCDAPPUDSFROKLPDGBCUMLDWLBYBER
LINCLOCKADHARIUHVWCQFISIQMNGDJK

period 27 key EFHYHMKUKBNENTXBQRMAEXYHANZ (3 free slots climbed); kry/kry/std/beau

7passed every gate24/24 known lettersloss 2.1%
ECDMRIPFEIMEHNLSSTTRTVDOHW?ZONV
SENAGRAYSTEDITSUREASTNORTHEASTE
SINTHERATIONANDTHESTIONSIDERBER
LINCLOCKMICHEMWHATHEWPNOSTNOXLS

period 65 key TGNWRJLFKIYNHDJRTJHPXWXAKGZTOAXAFDJDFWXQRUGDKOMSJLBTEWZZQKPTPWCRG (41 free slots climbed); kry/kry/kry/beau

8passed every gate24/24 known lettersloss 2.1%
ECDMRIPFEIMEHNLSSTTRTVDOHW?WHEU
SHESTIONSTEONLYCOEASTNORTHEASTN
THETHESTATESTIMENTSANDINGATIBER
LINCLOCKONTHEWARKENHISTHESOMESG

period 74 key LGZVHKFBYMIMUHPSIHZMLQTELWEHGZUPFHUIBBFTXDHEKZNUABBJSOGDXEPUSRFOGHTTKPBKSD (50 free slots climbed); kry/std/kry/vig

9passed every gate24/24 known lettersloss 2.1%
ECDMRIPFEIMEHNLSSTTRTVDOHW?HUKS
ALLTHAVICEFFICESAEASTNORTHEASTN
ATIONANDINATESTINANDATTHERESBER
LINCLOCKENSTIONESERTERETOODSLCQ

period 71 key KSDEGWSDMKXVMAYZNVJUIQTELWEHGZUPFHUFMTEZYWBPEPUHJVTJPMDVTVBWFQUOGHTTKPB (47 free slots climbed); kry/std/kry/vig

10passed every gate24/24 known lettersloss 2.2%
ECDMRIPFEIMEHNLSSTTRTVDOHW?TOVE
NOTHESTHERSTTHESAEASTNORTHEASTR
ERESIDENTERSAREARETOTHERATERBER
LINCLOCKSONOFTHISFREETERSINEEDL

period 77 key HSUPMCUYLTXJVEGYTUVDPMCLWNQHMHLKFGFKQKXYGDAGNLNRQWVRTYNCMWQEKMCBYHITCDFYZDURP (53 free slots climbed); std/kry/kry/varbeau

11passed every gate24/24 known lettersloss 2.2%
ECDMRIPFEIMEHNLSSTTRTVDOHW?RROU
RUNXYOROCSVIOLEISEASTNORTHEASTA
NDINTHERATINGTHESTINTERSAIDEBER
LINCLOCKTANYLOWCUVRISRQWLTMEDSL

period 59 key IYIFUCJFBFUJDXDKGVFJYJMWZCUJURLLXVUFSBCVWRNZBZMFKHTIHKGANRY (35 free slots climbed); kry/std/kry/beau

12passed every gate24/24 known lettersloss 2.2%
ECDMRIPFEIMEHNLSSTTRTVDOHW?YVWP
JDWEXAHRENTERNINOEASTNORTHEASTT
HEPARTERANDANDINTHECONTERATIBER
LINCLOCKSANDMEARECTUNWVSGUCAJFA

period 62 key FOGHTTKPBKSDJZDKAFFBLQTELWEHGZUPFHDOEJCLOOLEEKMSFEKOVKEXIVEASR (38 free slots climbed); kry/std/kry/vig

13passed every gate24/24 known lettersloss 2.2%
ECDMRIPFEIMEHNLSSTTRTVDOHW?BERS
DATEDTOARELETHESTEASTNORTHEASTO
RESTHATTHEREATTHETHEAREANDINBER
LINCLOCKTHERESANDITISREELETOURJ

period 80 key XXZVLYUUDKQKHVOGLYXCTBKVSBPCXFCTACADMYQSJQCSAZOSTDQFWDKDOWQWJXPLRCFPLJIHUATZZZOS (56 free slots climbed); kry/kry/std/vig

14passed every gate24/24 known lettersloss 2.3%
ECDMRIPFEIMEHNLSSTTRTVDOHW?OARE
ACHALLIONTHEREINTEASTNORTHEASTH
EWITHEARECOMENTHEREINTERESANBER
LINCLOCKDRESTATINTHEDALECTINGMO

period 83 key JSRDFXJVYXNXFNCNCSAFWSJRXTUOSORAMNCAZEZBOGLYRONFQMDORNNDEXUPZOFICOPEJKMCZKGEUSUCPSE (59 free slots climbed); std/kry/std/varbeau

15passed every gate24/24 known lettersloss 2.4%
ECDMRIPFEIMEHNLSSTTRTVDOHW?WARO
UNTRETHEREATEDINTEASTNORTHEASTE
RESTOREASTEVERESANDINTHETHESBER
LINCLOCKTATTHECONTHESTORATANAME

period 86 key IZHXAZWDYMNTQMMIWYHMXZPBYXYCCUYQABQYIZDWIOIAPUWFVEZRDSOKLHILUZROGCQPUQMJNAXUQJIHJFLQZY (62 free slots climbed); std/std/std/varbeau

16passed every gate24/24 known lettersloss 2.5%
ECDMRIPFEIMEHNLSSTTRTVDOHW?ISCO
REATTHETHESTHEREAEASTNORTHEASTN
DCONTHERESERINTHESTERANDERANBER
LINCLOCKDRENTHEREARATERSTHEMARX

period 89 key NACPMJYYGVZKPKXKWQZMXQRTPHIUUARAYZSHZSHZXYXKDEQHKALUSKZBPUATKMVUGUHMRUKAFKAEONSFIHNKGNTZF (65 free slots climbed); std/kry/std/beau

17passed every gate24/24 known lettersloss 2.6%
ECDMRIPFEIMEHNLSSTTRTVDOHW?OFOR
ESTINTEDINTHEARENEASTNORTHEASTT
HESTHESTHERENTERSANDINGANDINBER
LINCLOCKGSTANDTHERENTERSARETHAL

period 92 key KVUKDZQJQDDANGRPTOAWTRDUMRIYWOYNKYRJFXJMOHYMKZHSNVPDNXEUVQJVCWIELYOIECBAQKDASNSHKYXCTQVDGIKQ (68 free slots climbed); kry/kry/kry/vig

18passed every gate24/24 known lettersloss 2.7%
ECDMRIPFEIMEHNLSSTTRTVDOHW?RPRE
SIDENTHESTHERESANEASTNORTHEASTD
ERSTHEPRESINTHEREARENTHERETHBER
LINCLOCKERESIDEDINGTHETHEREARTI

period 95 key FALPWPOZKOFGDGYGYMDMJMCLWNQHMHLKFGXKQHZRHUEXABHQDWGHKKCPTKAYEAZBYHITCDFYZDATQMCOKGZPLSACOFWVNKB (71 free slots climbed); std/kry/kry/varbeau

Best English at 27-29: [-7.257, -6.808, -6.709]; shuffled K4 at 27-29: [-6.831, -6.886, -6.51]. Best overall -3.277 at period 95 vs shuffled best -3.233920610278189.

What was searched, as the harness recorded it.

family
periodic tableau at surviving periods, key completed by English climb
conventions
24
periods
27-29, then 53-95 every third
restarts
20
best by period
27
english
-7.257
convention
kry/kry/std/beau
free slots
3
text
ZWAWFAFIWGMGOGMDROTMAEASTNORTHEASTISTCDAPPUDSFROKLPDGBCUMLDWLBYBERLINCLOCKADHARIUHVWCQFISIQMNGDJK
28
english
-6.808
convention
kry/std/std/vig
free slots
4
text
RYIHBKSCNNJARISEYUCCTEASTNORTHEASTWHCOFHCGDMXKAATSIXNHCIURRORLDBERLINCLOCKTHEJUFYFLIUAILUSCILVXVL
29
english
-6.709
convention
kry/kry/std/beau
free slots
5
text
YJAEIVIZKOYDBEACIOSSLEASTNORTHEASTVCACZLEVESITMILANBACMIIXDCHKYBERLINCLOCKATTHIZQLLPDLOFDFOIJGUSM
53
english
-5.108
convention
std/std/kry/beau
free slots
29
text
PATEOVERSCURFONVGFSQYEASTNORTHEASTARELEDFEATHESTHEPRESHANINTSTIBERLINCLOCKNFGEEHNBSHCEBUDGEARESSU
56
english
-4.781
convention
kry/std/std/varbeau
free slots
32
text
ISINGHICNNJARISEYUNDEEASTNORTHEASTNETINTHEREINTEDTOTHERECORDSONBERLINCLOCKHIMJUFYFLIUAILUSOFFSOFV
59
english
-5.034
convention
kry/std/kry/beau
free slots
35
text
RROURUNXYOROCSVIOLEISEASTNORTHEASTANDINTHERATINGTHESTINTERSAIDEBERLINCLOCKTANYLOWCUVRISRQWLTMEDSL
62
english
-4.902
convention
kry/std/kry/vig
free slots
38
text
YVWPJDWEXAHRENTERNINOEASTNORTHEASTTHEPARTERANDANDINTHECONTERATIBERLINCLOCKSANDMEARECTUNWVSGUCAJFA
65
english
-4.313
convention
kry/kry/kry/beau
free slots
41
text
ZONVSENAGRAYSTEDITSUREASTNORTHEASTESINTHERATIONANDTHESTIONSIDERBERLINCLOCKMICHEMWHATHEWPNOSTNOXLS
68
english
-4.04
convention
std/std/kry/vig
free slots
44
text
IRWAHOTALLISAREATHENTEASTNORTHEASTINANDSOMESANDINTHERENTHERSEARBERLINCLOCKSSIONESISSTINGETPVCHACT
71
english
-4.008
convention
kry/std/kry/vig
free slots
47
text
HUKSALLTHAVICEFFICESAEASTNORTHEASTNATIONANDINATESTINANDATTHERESBERLINCLOCKENSTIONESERTERETOODSLCQ
74
english
-3.704
convention
kry/std/kry/vig
free slots
50
text
WHEUSHESTIONSTEONLYCOEASTNORTHEASTNTHETHESTATESTIMENTSANDINGATIBERLINCLOCKONTHEWARKENHISTHESOMESG
77
english
-3.614
convention
std/kry/kry/varbeau
free slots
53
text
TOVENOTHESTHERSTTHESAEASTNORTHEASTRERESIDENTERSAREARETOTHERATERBERLINCLOCKSONOFTHISFREETERSINEEDL
80
english
-3.59
convention
kry/kry/std/vig
free slots
56
text
BERSDATEDTOARELETHESTEASTNORTHEASTORESTHATTHEREATTHETHEAREANDINBERLINCLOCKTHERESANDITISREELETOURJ
83
english
-3.487
convention
std/kry/std/varbeau
free slots
59
text
OAREACHALLIONTHEREINTEASTNORTHEASTHEWITHEARECOMENTHEREINTERESANBERLINCLOCKDRESTATINTHEDALECTINGMO
86
english
-3.466
convention
std/std/std/varbeau
free slots
62
text
WAROUNTRETHEREATEDINTEASTNORTHEASTERESTOREASTEVERESANDINTHETHESBERLINCLOCKTATTHECONTHESTORATANAME
89
english
-3.392
convention
std/kry/std/beau
free slots
65
text
ISCOREATTHETHESTHEREAEASTNORTHEASTNDCONTHERESERINTHESTERANDERANBERLINCLOCKDRENTHEREARATERSTHEMARX
92
english
-3.334
convention
kry/kry/kry/vig
free slots
68
text
OFORESTINTEDINTHEARENEASTNORTHEASTTHESTHESTHERENTERSANDINGANDINBERLINCLOCKGSTANDTHERENTERSARETHAL
95
english
-3.277
convention
std/kry/kry/varbeau
free slots
71
text
RPRESIDENTHESTHERESANEASTNORTHEASTDERSTHEPRESINTHEREARENTHERETHBERLINCLOCKERESIDEDINGTHETHEREARTI
shuffled k4 best by period
27
-6.831
28
-6.886
29
-6.51
53
-4.88
60
-4.771
70
-4.018
80
-3.564
97
-3.234
english reference
-3.6

How this experiment sits among the others is on the lineage page; its family's open hypotheses are on the families page.

Rendered from the record on 2026-10-18 12:26 UTC; updated after every experiment.
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