Z340 Kasiski Examination

[Mr lowe]

Hi Guys. this is the 340 as a columnar scytale. out of curiosity can you run your checks on this. not sure which direction it should be read from. I am with you on the "ruse" bit smokie.
please note the top left hand column reading down, it peaked my interest. A,P,A,P,S,B,S,B.

ABCDEFGHIJKLMNHOL
PQDNBRSHTUVWMQSIX
AOYZaEbKcdBDeBfHB
PghDCBiGBjUEkLXlE
SmnKoUeIpqUSrHIIX
BsqoUfYktIjlSBQiu
SvVPwUxmWMEYLLNFV
BWOtyz0v12ZeKByoF
nJddeHk3YBBZD4Ukb
yjMyDr2LrOBVm1uwF
z0WwxFOcyePjGRKZO
BB5KWBZQk4BKQgQBL
vJ64FmlBaKfUHTqCy
ABGBia7HpzOjurnFj
JmljUXs5DvmP84Vhm
4iFXHopsjSERPDjUB
uKh9k3lqSr8DtbdSH
xLqdC!XDJ!DKN9ydF
FZ4RkL0MABXhNG2NO
HHL7xeknrjskjbSex

[doranchak]

Here is the 340, rotated 90 degrees to the right, and drafted into a 17 x 20 grid:
I found coincidence count spikes at 18, 36, and 108, all multiples of 9. Check it out.

I ran my shuffle-based normalized columnar IoC on it - here's the plot:

The positive spikes don't stand out too much except for the one at width 145. But interestingly, there are negative spikes at widths 10, 20 and 40. I'm guessing it is to do with the low number of repeats in the first few lines of the top and bottom halves of the unmodified Z340 (which show up as columns when rotating by 90 degrees). Still, none of the sigmas are as significant as the ones that show up for ciphers that actually use vigenere+homophonic.

Hi Guys. this is the 340 as a columnar scytale. out of curiosity can you run your checks on this. not sure which direction it should be read from. I am with you on the "ruse" bit smokie.

Here's my plot:

Not much to conclude from this - sigmas are rather low to be predictive of vigenere.

[smokie treats]

Thanks.

Because of the period 19 repeats, I don't see it likely that there is a cipher step that diffuses the plaintext before homophonic encoding. Maybe there is, and I am going to keep looking. It is just very difficult for me to reconcile any diffusing cipher with the repeats.

[BartW]

I figure we have taken it this far, so we might as well explore a few different directions.
The message may not read from left to right, top to bottom. Zodiac put his signature at the bottom of the page, a circle with cross hairs.
At times I have suspected that this might be a ruse.

Might as well seem to have some momentum at the moment.
I assume someone has done a bi gram search to determine direction?

I found coincidence count spikes at 18, 36, and 108, all multiples of 9. Check it out.

Ha! here is another Coincidence. I'd be curious what you and Dave think of this.
The Keyspace for both have factors of 9 63(9x7) 54(9x6)

[BartW]

Here is the 340, rotated 90 degrees to the right, and drafted into a 17 x 20 grid:

4 11 19 3 11 34 6 40 16 38 55 17 21 22 5 46 42
20 18 1 37 51 19 36 36 20 15 63 29 19 40 29 15 50
44 47 5 34 5 2 25 10 33 14 28 59 51 47 36 3 6
37 16 19 3 37 5 35 19 3 1 17 26 19 45 12 18 42
6 54 38 19 41 31 7 19 43 36 20 4 18 26 56 13 40
30 7 34 3 50 8 61 32 57 51 40 7 37 21 5 5 29
40 12 20 35 32 22 41 48 19 19 49 24 6 48 6 19 22
6 10 43 26 63 31 53 50 19 11 2 7 39 22 58 23 49
44 38 23 7 42 48 36 56 21 47 16 18 30 11 41 3 23
16 55 17 30 39 24 8 40 20 9 29 23 56 53 11 50 25
19 16 19 38 30 11 8 15 25 9 39 46 23 19 5 2 61
50 14 27 23 51 46 36 17 50 45 26 26 10 23 27 42 51
7 4 28 51 53 20 5 20 18 59 56 51 5 21 27 11 44
23 1 6 28 8 36 20 37 5 43 36 27 15 10 9 23 33
28 12 62 20 14 26 32 38 8 36 28 61 29 34 40 8 51
19 19 13 29 13 11 30 54 20 37 39 53 21 19 14 51 62
19 28 4 52 19 22 30 14 31 55 21 11 57 50 48 58 52
37 20 63 60 40 16 53 3 40 31 15 58 56 33 33 15 55
19 44 20 31 34 53 13 13 25 10 31 1 32 16 19 36 5
13 16 19 19 3 51 23 55 31 47 11 21 54 16 41 33 17

Looks Like Dave has given this a poke so i will have a look at it in another way.
but first i need to convert this over to my own symbol space...
http://codepad.org/jWzF0pLp

I have been working on my own pseudo plaint text idea for a few weeks and have been meaning to start a thread on it but it needs a bit more research first to quantify its validity if any. Anyway might as well give it a bit of try now.

So now I take the key from z408 and apply it to your code. keep in mind some of the symbol key space is rejigged.
anyway.

Code: Select all

TREGRCADRIPONLEYA
LETHSEVVLAEPEDPAT
AIECEENIHOTOSIVGA
HREGHEREGTOEECFEA
AKIEFSNESVLTEEFTD
ONCGTBRDMSDNHNEEP
DFLRDLFREEXLARAEL
AISEESRTERENELONX
AINNARVFNIREORFGN
RPOOELBDLIPNFRRTN
EREIORBANIEYNEEER
TOUNSYVOTCEEINUAS
NTTSRLELEOFSENURA
NTATBVLHESVUAIINH
TFWLOEDIBVTRPCDBS
EETPTROKLHERNEOSW
ETTRELOOSPNRMTROR
HLESDRRGDSAOFHHAP
EALSCRTTNISTDREVE
TREEGSNPSIRNKRFHO


first pass looks like some words already in there.
out of interest i ran it throught my word searcher and it came up with 135 words over >= 3 chars

Code: Select all

Dictionary Total lines 354986, Total search hits 135
ADRIP
AIN
AIS
ALE
ALS
ANI
ANT
ANTA
APE
ARA
BAN
BANI
BDL
BVT
CAD
CEE
CEE
DIB
DON
DRIP
EDP
EEN
EER
EFS
EFT
ELA
ELB
EOF
EOS
ERE
ERE
ERE
ERN
ERNE
ESD
ETH
ETHS
EVE
EXLA
EYALET
EYN
EYNE
FGN
FREE
GDS
HAP
HER
HER
HERE
HERN
HERNE
HES
HOT
INN
IRE
ISE
IST
KIE
KIEF
KIEFS
LAI
LAR
LEO
LES
LET
LEY
LIP
LOE
LOED
LOO
LOOS
LSC
NAR
NEE
NEE
NEEP
NEO
NERE
NIS
NIST
OOS
ORB
ORF
OSI
OTC
PAT
PATA
PEA
PEAL
PEALS
PED
PON
PSI
RAN
RANT
REE
REE
REG
REG
REG
REGR
REGT
REI
REL
REN
REV
REVE
REVET
RIP
RLE
RTE
SAO
SCR
SEE
SEE
SEES
SEN
SIR
STD
TAI
TAT
TDR
TEE
TER
TOE
TOS
TOU
TREE
TRP
UNS
URA
URAN
VET
WET
YALE


...we know that the use of KILL is likely.
So if we strip out all the other letters we end up with

Code: Select all

........I...L...
L.......L........
.I.....I.....I...
.................
.KI.......L......
.................
..L..L.....L....L
.I...........L...
.I.......I.......
.....L..LI.......
...I.....I.......
............I....
.....L.L.........
......L......II..
...L...I.........
.......KL........
.....L...........
.L...............
..L......I.......
.........I..K....


So do a period search and see if we can find KILL.....And... no hits
But we have some hits for KIL and ILL

Code: Select all

Searching for KIL
Hit @  20, mod 104
Hit @ 105, mod 104
Hit @ 190, mod 104
Hit @ 275, mod 104
Hit @  37, mod 312
Hit @ 122, mod 312
Hit @ 207, mod 312
Hit @ 292, mod 312
Hit @ 139, mod 318
Hit @ 309, mod 318

Searching for ILL
Hit @   5, mod   4
Hit @  90, mod   4
Hit @ 175, mod   4
Hit @ 260, mod   4
Hit @   4, mod   8
Hit @  89, mod   8
Hit @ 174, mod   8
Hit @ 259, mod   8
Hit @ 141, mod  57
Hit @  67, mod  66
Hit @ 237, mod  66
Hit @ 315, mod 109
Hit @  46, mod 186
Hit @ 216, mod 186
Hit @ 122, mod 206
Hit @ 292, mod 206
Hit @ 241, mod 273
Hit @  65, mod 322
Hit @ 235, mod 322


Bugger practicalcryptography.com is not loading... I calculate a CHI squared = 67.063 and IoC = 0.073
The IoC is a little high but other wise not too far off a Chi of <100 i find is usually a good start.

However the homophonic substitution really messes things up.
Provided you assign the correct number of symbols to E T and all the others letters and the symbol frequencies are generally the same size you will alway get a good chi and IoC statistic.

Regards
Bart

[smokie treats]

I still wonder if there is any relationship to the period 19 or 39 repeats.

Here are the positions that are positive for both period 78 unigram repeats and period 19 bigram repeats. There are some interesting repeated patterns. And of the only 18 positions, 12 of them cover both the leftmost and rightmost period 78 repeat positions.

coincidence.counting.19.png

[smokie treats]

Check this out. On top are the period 78 unigram repeats. In the middle are the period 26 bigram repeats. On the bottom are the positions positive for both period 78 unigram repeats and period 26 bigram repeats. The interesting thing is that, almost all of them ( black bordered positions ), have BOTH the leftmost and rightmost of the period 78 unigram repeats.

coincidence.counting.20.png

[doranchak]

Interesting observation, smokie. It is consistent with my earlier experiment which confirmed that the 78/26 combination produced the highest proportion of coinciding positions:

https://docs.google.com/spreadsheets/d/ ... sp=sharing

(Hover over column headings for explanations)

I just added a column to indicate the greatest common divisor of the kasiski shift value and the period value. You can see that some combinations have a large common divisor.

[doranchak]

Code: Select all

TREGRCADRIPONLEYA
LETHSEVVLAEPEDPAT
AIECEENIHOTOSIVGA
HREGHEREGTOEECFEA
AKIEFSNESVLTEEFTD
ONCGTBRDMSDNHNEEP
DFLRDLFREEXLARAEL
AISEESRTERENELONX
AINNARVFNIREORFGN
RPOOELBDLIPNFRRTN
EREIORBANIEYNEEER
TOUNSYVOTCEEINUAS
NTTSRLELEOFSENURA
NTATBVLHESVUAIINH
TFWLOEDIBVTRPCDBS
EETPTROKLHERNEOSW
ETTRELOOSPNRMTROR
HLESDRRGDSAOFHHAP
EALSCRTTNISTDREVE
TREEGSNPSIRNKRFHO


first pass looks like some words already in there.
out of interest i ran it throught my word searcher and it came up with 135 words over >= 3 chars

Just for fun, I ran that plaintext through my fuzzy word searcher, which is basically an exercise in pareidolia. Each word is followed by the plaintext that closely matched it:

Code: Select all

RABELAIS [RAELAIS]
APPEALS [APEALS]
TERENCE [TERENE]
ENTRANT [ENURANT]
FENELON [ENELON] [RENELON]
TERPENE [TERENE]
APPEAL [APEAL]
REGERE [REGHERE]
NELSON [NELON]
ELAINE [ELAISE]
PHOTOS [HOTOS] [IHOTOS]
LARVAE [LARAE]
AZRAEL [ARAEL]
PETALS [PEALS]
PEARLS [PEALS]
REVERT [REVET]
POOLEY [PONLEY]
SERENE [ERENE] [TERENE]
APIECE [AIECE]
AISLES [AISEES]
LOOSEN [LOOSPN]
LIAISE [LAISE]
PEDALS [PEALS]
WETTER [WETTR]
ELOISE [ELAISE]
HERETO [HEREGTO]
LAPPED [LAEPED]
ORTNER [RTNER] [RRTNER]
ELAPSE [ELAISE]
BLAISE [LAISE] [ELAISE]
RATNER [RTNER] [RRTNER]
NEREIS [NEREI] [NEREIO]
ORGANI [ORBANI]
PATRIE [PATAIE]
HEARNE [HERNE]
PEDIAT [PEDPAT]
RENDEL [RENEL]
ELONEX [ELONX]
REVERE [REVETRE]
DALETH [ALETH] [YALETH]
RIPPON [RIPON]
PATTIE [PATAIE]
VENIRE [VFNIRE]
VENTRE [VETRE]
GRANTA [RANTA] [URANTA]
DURANT [URANT] [NURANT]
NEREID [NEREI] [NEREIO]
LAISSE [LAISE] [LAISEE]
AHERNE [HERNE] [LHERNE]
SVELTE [SVLTE]
BREVET [REVET] [DREVET]
SEGURA [SENURA]
IPHOTO [IHOTO]
EYELET [EYALET]
ASNETT [ASNTT]
OSSETT [OSWETT]
ARABEL [ARAEL]
ETTORE [ETTRE]
ENTREE [ETREE]
LIERNE [LHERNE]
BEANIE [BANIE]
APPALS [APEALS]
POTOSI [OTOSI] [HOTOSI]
SORTER [SRTER]
LETTRE [ETTRE] [WETTRE]
TAISCE [TAIECE]
LSRAEL [LARAEL]
BRANTA [RANTA] [URANTA]
CONLEY [ONLEY] [PONLEY]
URANIA [URANTA]
METTRE [ETTRE] [WETTRE]
ERENCE [ERENE]
RELAIS [ELAIS] [AELAIS] [RAELAIS]
SIRNAK [SIRNK]
LHERBE [LHERNE]
PARTAI [PATAI]
EXTREE [ETREE]
SENORA [SENURA]
THERE [HERE] [TERE] [GHERE] [TNERE]
THESE [THSE]
THOSE [THSE]
THREE [TREE]
WHERE [HERE] [GHERE]
NEVER [NEEER]
OFTEN [OFSEN]
LARGE [LARAE]
VOICE [VOTCE]
SEEMS [SEES]
LEGAL [LEYAL]
EVENT [EVET]
RULES [RHLES]
PIECE [IECE] [AIECE]
LOOKS [LOOS]
TREES [TREE] [TREEG] [TREEGS]
SHAPE [HAPE] [HHAPE]
URBAN [RBAN] [URAN] [ORBAN]
RAISE [AISE] [LAISE]
INNER [INNAR]
SHEET [SEET]
TOWNS [TOUNS]
DROVE [DREVE]
DRIVE [DREVE]
STORE [STDRE]
SCOTT [SCRTT]
SWEET [SEET] [SWET] [SWETT]
GRANT [RANT] [URANT]
HASNT [ASNT] [UASNT]
ROLES [RHLES]
LOVED [LOED]
HOLES [HLES]
LAURA [LARA]
MEALS [EALS] [PEALS]
ARISE [AISE]
LOOSE [LOOS] [LOOSP]
SEEKS [SEES]
ORGAN [ORBAN]
LOYAL [LEYAL]
NERVE [NERE]
SEEDS [SEES]
SANTA [ANTA] [RANTA]
THEFT [TEEFT]
PHOTO [HOTO] [IHOTO]
DEALS [EALS] [PEALS]
ELLIS [ELAIS]
SWEAT [SWET] [SWETT]
ANNIE [ANIE]
METRE [ETRE] [VETRE]
SWEPT [SWET] [SWETT]
REBEL [RENEL]
PEAKS [PEALS]
POOLE [POOE] [PONLE]
PENAL [PEAL]
SEXES [SEES]
ALERT [ALET]
ISLES [ISEES]
LEITH [LETH]
FINES [FSNES]
NYLON [NELON]
TOURS [TOUNS]
TWIST [TNIST]
IRENE [RENE] [ERENE]
PASTA [PATA]
NEWER [NEEER]
STARE [STDRE]
FREED [FREE] [FREEX]
RENAL [RENEL]
NIECE [IECE] [AIECE]
AISLE [AISE] [AISEE]
ETHOS [ETHS]
SEALS [EALS] [PEALS]
PEARS [PEALS]
RENEW [RENE] [RENEL]
EXERT [EERT] [EEERT]
CLARA [LARA] [XLARA]
NOTTS [NTTS]
ELTON [ELON]
PEARL [PEAL]
ELVIS [ELAIS]
LOOPS [LOOS]
ERECT [EREGT]
NOUNS [OUNS] [TOUNS]
SIREN [SIRN]
PEDAL [PEAL]
OTLEY [ONLEY]
RIPON [RIPO] [IPON] [DRIPON] [RIPONL]
FREER [FREE] [FREEX]
LEAFS [LEOFS]
REEFS [REEGS]
METRO [MTRO]
HORNE [HERNE]
LAPSE [LAISE]
RANGA [RANTA]
SPERM [SPNRM]
HEERE [HERE]
ANITA [ANTA]
MELON [ELON] [NELON]
REEDS [REEGS]
ANILE [ANIE]
ARTAI [ATAI]
RAHEL [RAEL]
ERNIE [ERNE]
LUISE [LAISE]
EARLS [EALS]
SNAPS [SNPS]
TUNIS [TNIS] [TTNIS]
APNEA [APEA]
LOGOS [LOOS]
ARIEL [ARAEL]
ELISE [ELAISE]
LARNE [LARAE]
HERON [HERN]
ETHER [EGHER]
ANGIE [ANIE]
CAPRI [CADRI]
TANTA [ANTA] [RANTA]
GRENE [RENE] [ERENE]
REINO [REIO]
TERSE [TERE]
LARVA [LARA]
RENFE [RENE]
LOOMS [LOOS]
JAHRE [AHRE] [GAHRE]
ELLOS [ELOOS]
ALEUT [ALET]
PETAL [PEAL]
EBERT [EERT] [EEERT]
SELES [SEES]
ARNIE [ANIE]
FRERE [FREE]
REEVE [REVE]
EBENE [ERENE]
OLSEN [OFSEN]
REPEL [RENEL]
KANTA [ANTA] [RANTA]
RENCE [RENE]
TUNER [TNER]
TONER [TNER]
FREES [FREE] [FREEX]
REELS [REEGS]
CADRE [CADR] [CADRI]
LOCOS [LOOS]
TROLL [TROKL]
RAVEL [RAEL]
LOBED [LOED]
SERES [SEES]
HEEFT [EEFT] [TEEFT]
TIERE [TERE] [TNERE]
PETRO [PTRO]
REVUE [REVE]
LAPIS [LAIS]
RIPEN [RIPON]
VALET [ALET] [YALET]
RALES [RHLES]
BERNE [ERNE] [HERNE]
IDEES [ISEES]
HEURE [HERE]
DURAN [URAN] [NURAN]
NITRE [NIRE]
LETTS [LETHS]
SEDES [SEES]
PATAI [PATA] [ATAI] [DPATAI] [PATAIE]
AKELA [AELA]
TAPIE [TAIE]
RESET [REVET]
AREAL [APEAL]
PINNA [INNA] [AINNA]
FIEFS [IEFS] [KIEFS]
AURAE [ARAE]
VOLTE [VLTE]
SLEET [SEET]
REVEL [REVE] [RENEL] [REVET]
ADRIA [ADRI] [ADRIP]
HALES [HLES]
TAINE [TAIE]
DRIPS [DRIP] [DRIPO]
ELDON [ELON]
ATARI [ATAI]
SENSU [SENU]
LARUE [LARAE]
DEREN [EREN] [TEREN]
PONCE [PONLE]
FELON [ELON] [NELON]
ESHER [EGHER]
MARAE [ARAE] [LARAE]
PATAN [PATA] [PATAI]
REINE [RENE]
HEINE [HERNE]
AVISE [AISE]
HERNE [HERE] [HERN] [ERNE] [LHERNE] [HERNEO]
WOOED [WLOED]
DBASE [DBSE]
PETRE [ETRE] [VETRE]
INCAS [INUAS]
HEARN [HERN]
RETRO [RMTRO]
LOPED [LOED]
TITRE [TTRE]
SEERS [SEES]
ELTIS [ELAIS]
SAEPE [AEPE] [LAEPE]
MINNA [INNA] [AINNA]
ARABE [ARAE]
VERNE [ERNE] [HERNE]
PATTI [PATAI]
SORTE [SRTE]
TERES [TERE] [TEREN]
PEATS [PEALS]
ESTER [ESRTER]
EPRDF [EPDF]
RIVET [REVET]
ADELA [AELA]
TIREE [TREE]
ONTOS [OTOS]
JANIE [ANIE] [BANIE]
SETTS [SNTTS]
LOWED [LOED]
PEELS [PEALS]
ENGEL [ENEL]
NEHER [NEEER]
TOUTS [TOUNS]
NEGER [NEEER]
OTROS [OTOS]
DANIE [ANIE] [BANIE]
PSION [PSIRN]
RDBMS [RDMS]
EALES [EALS]
REVIE [REVE]
ANTAL [ANTA] [ANTAT]
CERTO [ERTO] [EERTO]
SWETE [SWET] [SWETT]
REGNE [RENE] [REGHE]
EVERT [EERT] [EVET] [EEERT]
TOSHI [TOSI]
TERRE [TERE]
PONTE [PONLE]
HEALS [EALS] [PEALS]
LETHE [LETH] [LETHS] [LETHSE]
NIREX [NIRE] [NIREO]
AGLET [ALET]
WEALS [EALS] [PEALS]
LOBOS [LOOS]
BRANT [RANT] [URANT]
SEEPS [SEES]
LYETH [LETH]
WETTE [WETT] [WETTR] [WETTRE]
TERED [TERE] [TEREN]
NEEPS [NEEP] [NEEPD]
NERVI [NEREI]
RENEE [RENE] [RENEL]
CHERE [HERE] [GHERE]
ESTRE [ETRE] [ETTRE]
ALTAI [ATAI]
DELON [ELON] [NELON]
POWEL [POOEL]
JURAN [URAN] [NURAN]
VIREO [IREO] [NIREO]
INCAR [INNAR]
ENERO [ENELO]
FREIE [FREE]
ISTER [ISTDR]
NEONS [NEOS]
LATHS [LETHS]
POPLE [PONLE]
CERNE [ERNE] [HERNE]
PEALS [PEAL] [EALS] [APEALS] [PEALSC]
HEARE [HERE]
METHS [ETHS] [LETHS]
EDALE [EYALE]
FAIRE [FNIRE]
NEUER [NEEER]
GREVE [REVE] [DREVE]
OXLEY [ONLEY]
ETTER [ETTR]
SEEIN [EEIN] [CEEIN]
ANTAR [ANTA] [ANTAT]
ELSON [ELON]
RANTS [RANT] [RANTA]
LOTOS [OTOS] [LOOS] [HOTOS]
BTREE [TREE] [ETREE]
TRIST [TNIST]
TYREE [TREE]
GEERT [EERT] [EEERT]
TRANT [RANT] [URANT]
KEREN [EREN] [TEREN]
LYRAE [LARAE]
QURAN [URAN] [NURAN]
PATNA [PATA]
SCUTT [SCRTT]
SEEST [SEES] [SEET] [SEESR] [SEESRT]
VENIR [VFNIR]
ANIME [ANIE]
REAVE [REVE]
KLARA [LARA] [XLARA]
PACTA [PATA]
RANTE [RANT] [RANTA]
SHERE [HERE] [GHERE]
POORE [POOE]
ERATO [ERTO]
SENOR [SENUR]
ELLON [ELON]
LAIUS [LAIS]
LONGA [LONXA]
BEALS [EALS] [PEALS]
CORBA [ORBA] [IORBA]
CINNA [INNA] [AINNA]
REGER [REGR] [REGHER]
FREGE [FREE]
EXPED [EPED]
EXPAT [EDPAT]
APPAL [APEAL]
GELON [ELON] [NELON]
HEYNE [EYNE] [IEYNE] [HERNE]
NIHON [NIHO] [NIHOT]
RENTE [RENE]
SNIPS [SNPS]
REEKS [REEGS]
REALS [EALS] [PEALS]
EGTON [EGTO] [EGTOE]
RASTA [RANTA]
TENER [TNER]
NEARE [NERE]
SINES [SNES]
TURAN [URAN] [NURAN]
ERENT [EREN] [EREGT] [ERENE]
SIRTE [SRTE]
REXEL [RENEL]
TROTH [TRORH]
EIGHE [EGHE]
NASIR [NPSIR]
NARVA [NARV] [NARVF]
ANTEA [ANTA]
SWETT [SWET] [WETT] [OSWETT] [SWETTR]
REIHE [REGHE]
BORBA [ORBA] [IORBA]
LAINE [LAISE]
LOONS [LOOS]
MANIE [ANIE] [BANIE]
MATAI [ATAI] [PATAI]
RELET [REVET]
TREED [TREE] [TREEG]
SELON [ELON] [NELON]
ANTIA [ANTA]
TERAN [TEREN]
DIATA [DPATA]
LAIRS [LAIS]
ENTEL [ENEL]
LARGA [LARA]
ARVIN [ARVFN]
ECAFE [ECFE]
SUTER [SRTER]
SEETH [SEET] [SEETP]
TYNER [TNER]
REGIO [REIO] [REGTO]
ORMAN [ORBAN]
HILES [HLES]
RABTA [RANTA]
EOYAL [EYAL]
DINNA [INNA] [AINNA]
EDINB [EDIB]
LAMPE [LAEPE]
AHERN [HERN] [LHERN]
NEERE [NERE] [NEEE]
HERVE [HERE] [HERNE]
CETIN [CEEIN]
AIMEE [AISEE]
MALET [ALET] [YALET]
SKEET [SEET]
ELGON [ELON]
PATRI [PATAI]
RESTO [REGTO]
BASIE [BANIE]
ADLAI [AELAI]
ENLAI [ELAI]
ANISE [AISE] [ANIE]
SOTER [SRTER]
VERRE [VETRE]
RECTO [REGTO]
EVETT [EVET] [EVETR]
XTREE [TREE] [ETREE]
TOONS [TOUNS]
NEOTS [NEOS]
NEELD [NEEPD]
ENTRE [ETRE] [ETTRE]
AISNE [AISE] [AISEE]
PLATA [PATA]
OLLEY [ONLEY]
WANTA [ANTA] [RANTA]
WASNT [ASNT] [UASNT]
SEGUR [SENUR]
AELIS [AELAIS]
NUTTS [NTTS]
NURIA [NURA]
SWETS [SWET] [SWETT]
ANDIE [ANIE]
RECOR [REOR] [REIOR]
TWERE [TERE] [TNERE]
OFFEN [OFSEN]
TOPEE [TOEE]
NUMAN [NURAN]
POOEY [POOE] [POOEL]
HERES [HERE] [HEREG]
HERED [HERE] [HEREG]
MANTA [ANTA] [RANTA]
ELENI [EENI]
BRIMS [BRDMS]
TROOL [TROKL]
ALEPH [ALETH]
LESER [LESDR]
KIEFT [KIEF] [KIEFS]
PCDOS [PCDBS]
HARPE [HAPE]
EGGER [EGHER]
LIETH [LETH]
AMELA [AELA]
REGEL [RENEL]
ORHAN [ORBAN]
ORLAN [ORBAN]
RATER [RTER]
TERME [TERE]
LASSE [LAISE]
ENURE [ENUR] [ENURA]
POELE [PONLE]
CADER [CADR]
HERRN [HERN]
ARWEL [ARAEL]
ERANT [RANT] [URANT]
ZOTOS [OTOS] [HOTOS]
ARMEL [ARAEL]
SKETT [SWETT]
PARTA [PATA]
PATRA [PATA]
PAISE [AISE] [LAISE]
BANDE [BANIE]
SEEER [EEER] [SEESR] [NEEER]
TANIS [TNIS] [TTNIS]
URALT [URANT]
REGIE [REGHE]
REGNO [REGTO]
ELVET [EVET]
RABAN [RBAN]
BEREN [EREN] [TEREN]
DILIP [DLIP]
TOSTI [TOSI]
NELLO [NELO]
NEPOS [NEOS]
OGLEY [ONLEY]
NEGRE [NERE]
EETPU [EETP] [EETPT]
EEVIN [EEIN]
BLOOS [LOOS] [ELOOS]
CESEN [CEEN]
ERENS [EREN] [ERENE]
HOLOS [HOTOS]
ARTER [RTER] [SRTER]
AIKIN [AIIN]
RILES [RHLES]
PEALE [PEAL] [PEALS]
VOTRE [VOTCE] [VETRE]
DAPAT [DPAT]
PERLS [PEALS]
ARAKI [AAKI]
GADRE [GAHRE]
ETTLE [ETTRE]
BREVE [REVE] [DREVE]
BANTA [ANTA] [RANTA]
NOIRE [NIRE]
ATAIE [ATAI] [TAIE] [PATAIE] [ATAIEC]
TINER [TNER]

[smokie treats]

Here is another perspective of the period 78 unigram repeats and period 26 bigram repeats:

The period 26 bigram repeats are on a period of 78. They are pairs of identical bigrams set apart by a period of 78.

Red: Backwards D and G are period 26 bigrams, and there are two of them. They are spaced at a period of 78.

Green: Backwards P and backwards C are period 26 bigrams, and there are two of them. They are also spaced at a period of 78.

Purple: + and + are period 26 bigrams, and there are two of them. They are also spaced at a period of 78.

Blue: The left half filled circle and the vertical line are period 26 bigrams, and there are two of them. They are also spaced at a period of 78.

coincidence.counting.21.png

They are period AX period X bigram repeats where A is a multiplier of X!