Very interesting, Jarlve.

My version of your repeating fragment score gives this one a 722 (compare this to your scores of 630 for period 19 and 664 for period 15).

I ran my cycle (L=2) detection on it; it found some sequences but they seem weaker overall than the ones in the unmodified 340. But this doesn’t really mean anything since we don’t know at which stage he applied the substitutions.

Cycles with at least 3 repeats:

Cipher under your new scheme:

L*	 [L*]  [L*]  [L*]  [L*]  [L*]  [L*] 	6	9.121544E-22	1.0	9.121544E-22
5z	zzz5 [5z]  [5z]  [5z]  [5z]  [5z]  [5z] 	6	2.6199707E-20	0.75	1.964978E-20
k.	 [k.]  [k.]  [k.]  [k.]  [k.] .	5	1.1771107E-18	0.90909094	1.0701006E-18
LU	 [LU]  [LU]  [LU]  [LU]  [LU] L	5	1.1771107E-18	0.90909094	1.0701006E-18
M5	M [M5]  [M5]  [M5]  [M5]  [M5] 55M	5	1.3683317E-17	0.71428573	9.773798E-18
fC	 [fC]  [fC]  [fC]  [fC] C	4	8.959601E-16	0.8888889	7.96409E-16
K8	KK [K8]  [K8]  [K8]  [K8] K	4	3.441921E-15	0.72727275	2.5032153E-15
W)	 [W)]  [W)]  [W)]  [W)] )WW	4	4.5357996E-15	0.72727275	3.2987635E-15
U.	.U [U.]  [U.]  [U.]  [U.] .	4	4.5357996E-15	0.72727275	3.2987635E-15
lC	lll [lC]  [lC]  [lC]  [lC] C	4	8.403125E-15	0.6666667	5.6020836E-15
V*	 [V*] *V [V*]  [V*]  [V*]  [V*] 	4	9.405435E-15	0.6666667	6.27029E-15
VL	 [VL] LV [VL]  [VL]  [VL]  [VL] 	4	9.405435E-15	0.6666667	6.27029E-15
K*	 [K*]  [K*]  [K*]  [K*] K [K*]  [K*] 	4	1.7424726E-14	0.61538464	1.07229086E-14
M.	 [M.] M [M.]  [M.]  [M.]  [M.] .M	4	1.7424726E-14	0.61538464	1.07229086E-14
l.	 [l.] ll [l.]  [l.]  [l.]  [l.] .	4	1.7424726E-14	0.61538464	1.07229086E-14
VM	 [VM]  [VM]  [VM]  [VM] MMV [VM] 	4	1.7424726E-14	0.61538464	1.07229086E-14
zU	 [zU] z [zU]  [zU]  [zU]  [zU] zzz	4	2.2962479E-14	0.5714286	1.3121417E-14
z.	.zz [z.]  [z.]  [z.]  [z.] z [z.] z	4	4.7615005E-14	0.53333336	2.5394671E-14
*c	 [*c]  [*c]  [*c]  [*c] cccc [*c] c*	4	7.2572794E-14	0.5	3.6286397E-14
Lc	 [Lc]  [Lc]  [Lc]  [Lc] ccc [Lc] c [Lc] 	4	7.2572794E-14	0.5	3.6286397E-14
L|	 [L|]  [L|]  [L|]  [L|] | [L|] || [L|] |	4	7.2572794E-14	0.5	3.6286397E-14
V|	 [V|]  [V|]  [V|]  [V|] | [V|] || [V|] |	4	7.2572794E-14	0.5	3.6286397E-14
zK	Kz [zK]  [zK]  [zK]  [zK] Kzzz [zK] 	4	8.821267E-14	0.5	4.4106334E-14
M|	 [M|] |M [M|]  [M|]  [M|]  [M|] ||| [M|] 	4	1.3445E-13	0.47058824	6.327059E-14
B^	^ [B^] B [B^]  [B^]  [B^]  [B^] BBBBBB	4	1.5048696E-13	0.44444445	6.68831E-14
O2	 [O2] 2 [O2] 22O [O2]  [O2]  [O2]  [O2] OOO	4	3.6739966E-13	0.42105263	1.5469459E-13
zc	z [zc]  [zc]  [zc]  [zc] cc [zc]  [zc]  [zc] cz	4	3.6739966E-13	0.42105263	1.5469459E-13

Original 340:

lM	 [lM]  [lM]  [lM]  [lM]  [lM]  [lM]  [lM] 	7	2.4584872E-24	1.0	2.4584872E-24
^*	 [^*]  [^*]  [^*]  [^*]  [^*]  [^*] 	6	9.121544E-22	1.0	9.121544E-22
KM	 [KM]  [KM]  [KM]  [KM]  [KM]  [KM] MK	6	5.8000224E-21	0.85714287	4.971448E-21
OK	 [OK]  [OK]  [OK]  [OK]  [OK]  [OK] OOO [OK] 	6	4.9299357E-20	0.7058824	3.4799547E-20
2z	 [2z]  [2z] 2 [2z]  [2z]  [2z]  [2z]  [2z]  [2z] z	6	1.1834862E-19	0.6666667	7.8899085E-20
RK	 [RK]  [RK]  [RK]  [RK]  [RK] R [RK]  [RK] 	5	2.6677867E-17	0.6666667	1.7785245E-17
O<	 [O<] OO [O<]  [O<]  [O<]  [O<]  [O<] OO	5	3.7667542E-17	0.625	2.3542214E-17
2M	 [2M]  [2M] 22 [2M]  [2M]  [2M]  [2M]  [2M] 	5	4.807438E-17	0.625	3.004649E-17
p<	p [p<] ppp [p<]  [p<]  [p<]  [p<]  [p<] p	5	6.0663964E-17	0.5882353	3.5684687E-17
l|	 [l|]  [l|]  [l|]  [l|]  [l|] | [l|]  [l|] ||	5	8.1414365E-17	0.5882353	4.7890806E-17
Rc	 [Rc] R [Rc]  [Rc]  [Rc]  [Rc]  [Rc] c [Rc] cc	5	1.5873065E-16	0.5555556	8.81837E-17
B5	B [B5] 5B [B5]  [B5]  [B5]  [B5]  [B5] BBBB	5	2.0258507E-16	0.5263158	1.06623727E-16
9t	 [9t]  [9t]  [9t]  [9t] 	4	3.6698536E-16	1.0	3.6698536E-16
>S	 [>S]  [>S]  [>S]  [>S] 	4	3.6698536E-16	1.0	3.6698536E-16
>Z	 [>Z]  [>Z]  [>Z]  [>Z] 	4	3.6698536E-16	1.0	3.6698536E-16
DZ	 [DZ]  [DZ]  [DZ]  [DZ] 	4	3.6698536E-16	1.0	3.6698536E-16
YZ	 [YZ]  [YZ]  [YZ]  [YZ] 	4	3.6698536E-16	1.0	3.6698536E-16
fZ	 [fZ]  [fZ]  [fZ]  [fZ] 	4	3.6698536E-16	1.0	3.6698536E-16
ft	 [ft]  [ft]  [ft]  [ft] 	4	3.6698536E-16	1.0	3.6698536E-16
J-	 [J-]  [J-]  [J-]  [J-] -	4	8.959601E-16	0.8888889	7.96409E-16
UJ	 [UJ]  [UJ]  [UJ]  [UJ] U	4	8.959601E-16	0.8888889	7.96409E-16	(ALL ODD POSITIONS)
*9	* [*9]  [*9]  [*9]  [*9] *	4	1.857863E-15	0.8	1.4862904E-15
*t	* [*t]  [*t]  [*t]  [*t] *	4	1.857863E-15	0.8	1.4862904E-15
.9	 [.9]  [.9]  [.9]  [.9] ..	4	1.857863E-15	0.8	1.4862904E-15
V9	V [V9]  [V9]  [V9]  [V9] V	4	1.857863E-15	0.8	1.4862904E-15
^9	^ [^9]  [^9]  [^9]  [^9] ^	4	1.857863E-15	0.8	1.4862904E-15
dk	kd [dk]  [dk]  [dk]  [dk] 	4	2.1874027E-15	0.8	1.7499221E-15
MJ	 [MJ]  [MJ]  [MJ]  [MJ] MMM	4	3.441921E-15	0.72727275	2.5032153E-15	(ALL ODD POSITIONS)
#V	V# [#V]  [#V]  [#V]  [#V] V	4	4.5357996E-15	0.72727275	3.2987635E-15
<-	 [<-]  [<-]  [<-]  [<-] < [<-] 	4	4.5357996E-15	0.72727275	3.2987635E-15
y4	 [y4]  [y4]  [y4]  [y4] 4 [y4] 	4	4.5357996E-15	0.72727275	3.2987635E-15
U<	<U [U<]  [U<]  [U<]  [U<] <	4	4.5357996E-15	0.72727275	3.2987635E-15
<y	 [<y]  [<y]  [<y]  [<y] y<<	4	4.5357996E-15	0.72727275	3.2987635E-15
VU	 [VU]  [VU]  [VU]  [VU] V [VU] 	4	4.5357996E-15	0.72727275	3.2987635E-15
(#	 [(#]  [(#]  [(#]  [(#] #(((	4	8.403125E-15	0.6666667	5.6020836E-15
#K	 [#K]  [#K]  [#K]  [#K] K [#K] K	4	8.403125E-15	0.6666667	5.6020836E-15
lT	 [lT] ll [lT]  [lT]  [lT]  [lT] 	4	8.403125E-15	0.6666667	5.6020836E-15
ly	 [ly] l [ly]  [ly]  [ly]  [ly] l	4	8.403125E-15	0.6666667	5.6020836E-15
^4	^ [^4]  [^4]  [^4]  [^4] 44^	4	9.405435E-15	0.6666667	6.27029E-15
GV	VG [GV]  [GV]  [GV]  [GV] VG	4	9.405435E-15	0.6666667	6.27029E-15
cJ	 [cJ]  [cJ]  [cJ]  [cJ] cccccc	4	1.4335362E-14	0.5714286	8.191635E-15
(G	G [(G] ( [(G]  [(G]  [(G]  [(G] (	4	1.7424726E-14	0.61538464	1.07229086E-14
(V	V( [(V]  [(V]  [(V]  [(V] V((	4	1.7424726E-14	0.61538464	1.07229086E-14
M4	M [M4]  [M4]  [M4]  [M4] 44MM	4	1.7424726E-14	0.61538464	1.07229086E-14
K<	<KK [K<]  [K<]  [K<]  [K<] <K	4	1.7424726E-14	0.61538464	1.07229086E-14
VM	 [VM]  [VM]  [VM]  [VM] MV [VM] M	4	1.7424726E-14	0.61538464	1.07229086E-14
^M	 [^M]  [^M]  [^M]  [^M] M^ [^M] M	4	1.7424726E-14	0.61538464	1.07229086E-14
lV	 [lV]  [lV]  [lV]  [lV] l [lV] Vl	4	1.7424726E-14	0.61538464	1.07229086E-14
(K	 [(K]  [(K]  [(K]  [(K] K [(K] ( [(K] 	4	3.2281456E-14	0.5714286	1.8446546E-14
l5	l [l5]  [l5]  [l5]  [l5] 5 [l5] 5l	4	3.2281456E-14	0.5714286	1.8446546E-14
O-	OO [O-]  [O-]  [O-]  [O-] OO [O-] O	4	3.4998443E-14	0.53333336	1.8665836E-14
|C	| [|C] ||| [|C]  [|C]  [|C]  [|C] |	4	3.4998443E-14	0.53333336	1.8665836E-14
OT	TOOOO [OT]  [OT]  [OT]  [OT] OO	4	3.4998443E-14	0.53333336	1.8665836E-14
OU	 [OU] O [OU]  [OU]  [OU]  [OU] OOOO	4	3.4998443E-14	0.53333336	1.8665836E-14
RM	 [RM]  [RM]  [RM] R [RM]  [RM]  [RM]  [RM] 	4	5.5070735E-14	0.53333336	2.937106E-14
c4	 [c4] c [c4]  [c4]  [c4]  [c4] 4cccc	4	7.2572794E-14	0.5	3.6286397E-14
Vc	 [Vc]  [Vc]  [Vc]  [Vc] ccV [Vc] ccc	4	7.2572794E-14	0.5	3.6286397E-14
V|	 [V|]  [V|]  [V|]  [V|] ||V [V|] |||	4	7.2572794E-14	0.5	3.6286397E-14
^|	 [^|]  [^|]  [^|]  [^|] || [^|]  [^|] ||	4	7.2572794E-14	0.5	3.6286397E-14
K|	|K [K|]  [K|]  [K|]  [K|] || [K|] ||K	4	1.3445E-13	0.47058824	6.327059E-14
OM	 [OM]  [OM] O [OM]  [OM]  [OM]  [OM] O [OM] O	4	1.3445E-13	0.47058824	6.327059E-14
Mc	cM [Mc]  [Mc]  [Mc]  [Mc] cc [Mc] ccM	4	1.3445E-13	0.47058824	6.327059E-14
p5	pppp [p5]  [p5]  [p5]  [p5] 555ppp	4	1.9684829E-13	0.44444445	8.748813E-14

Also, I am wondering if the multiplicity of the cipher text (# of unique symbols divided by cipher length) can be a rough prediction of the expected number of repeated ngrams (when compared to the 408).

For example, the 408 has 62 repeated bigrams. 340 has a higher multiplicity and should be expected to have a lower number of repeated bigrams. If the reduction is proportional to multiplicity, then we should have:

62 * m1 = x * m2 (where m1 is 408’s multiplicity, m2 is 340’s multiplicity, and x is the expected number of repeated bigrams in the 340).
Thus:
62 * 0.132 = x * 0.185; and x = 44. Your new interpretation shows x = 42 so it seems close to this!

A similar calculation for trigrams:

11 * 0.132 = x * 0.185; x = 8.

Maybe there’s an interpretation lurking somewhere with this many trigrams and bigrams.

Maybe there’s an interpretation lurking somewhere with this many trigrams and bigrams.

I can give you five trigrams right now.

I tested some other permutations and found another one that produces 42 repeated bigrams (but only 2 repeated trigrams):

Start with original 340:

HER>pl^VPk|1LTG2d
Np+B(#O%DWY.<*Kf)
By:cM+UZGW()L#zHJ
Spp7^l8*V3pO++RK2
_9M+ztjd|5FP+&4k/
p8R^FlO-*dCkF>2D(
#5+Kq%;2UcXGV.zL|
(G2Jfj#O+_NYz+@L9
d<M+b+ZR2FBcyA64K
-zlUV+^J+Op7<FBy-
U+R/5tE|DYBpbTMKO
2<clRJ|*5T4M.+&BF
z69Sy#+N|5FBc(;8R
lGFN^f524b.cV4t++
yBX1*:49CE>VUZ5-+
|c.3zBK(Op^.fMqG2
RcT+L16C<+FlWB|)L
++)WCzWcPOSHT/()p
|FkdW<7tB_YOB*-Cc
>MDHNpkSzZO8A|K;+

Flip horizontally:

d2GTL1|kPV^lp>REH
)fK*<.YWD%O#(B+pN
JHz#L)(WGZU+Mc:yB
2KR++Op3V*8l^7ppS
/k4&+PF5|djtz+M9_
(D2>FkCd*-OlF^R8p
|Lz.VGXcU2;%qK+5#
9L@+zYN_+O#jfJ2G(
K46AycBF2RZ+b+M<d
-yBF<7pO+J^+VUlz-
OKMTbpBYD|Et5/R+U
FB&+.M4T5*|JRlc<2
R8;(cBF5|N+#yS96z
++t4Vc.b425f^NFGl
+-5ZUV>EC94:*1XBy
2GqMf.^pO(KBz3.c|
L)|BWlF+<C61L+TcR
p)(/THSOPcWzCW)++
cC-*BOY_Bt7<WdkF|
+;K|A8OZzSkpNHDM>

Rotate 180 degrees:

>MDHNpkSzZO8A|K;+
|FkdW<7tB_YOB*-Cc
++)WCzWcPOSHT/()p
RcT+L16C<+FlWB|)L
|c.3zBK(Op^.fMqG2
yBX1*:49CE>VUZ5-+
lGFN^f524b.cV4t++
z69Sy#+N|5FBc(;8R
2<clRJ|*5T4M.+&BF
U+R/5tE|DYBpbTMKO
-zlUV+^J+Op7<FBy-
d<M+b+ZR2FBcyA64K
(G2Jfj#O+_NYz+@L9
#5+Kq%;2UcXGV.zL|
p8R^FlO-*dCkF>2D(
_9M+ztjd|5FP+&4k/
Spp7^l8*V3pO++RK2
By:cM+UZGW()L#zHJ
Np+B(#O%DWY.<*Kf)
HER>pl^VPk|1LTG2d

Cast to width 16 grid:

>MDHNpkSzZO8A|K;
+|FkdW<7tB_YOB*-
Cc++)WCzWcPOSHT/
()pRcT+L16C<+FlW
B|)L|c.3zBK(Op^.
fMqG2yBX1*:49CE>
VUZ5-+lGFN^f524b
.cV4t++z69Sy#+N|
5FBc(;8R2<clRJ|*
5T4M.+&BFU+R/5tE
|DYBpbTMKO-zlUV+
^J+Op7<FBy-d<M+b
+ZR2FBcyA64K(G2J
fj#O+_NYz+@L9#5+
Kq%;2UcXGV.zL|p8
R^FlO-*dCkF>2D(_
9M+ztjd|5FP+&4k/
Spp7^l8*V3pO++RK
2By:cM+UZGW()L#z
HJNp+B(#O%DWY.<*
Kf)HER>pl^VPk|1L
TG2d

Starting at upper left corner, read diagonally (up to down):

>M+D|CHFc(Nk+)Bpd
+p|fkW)R)MVS<WcLq
U.z7CT|GZc5Ztz+c2
5VF5OBWL.y-4BT|8_
c13B+tc4D^AYP6zXl
+(MYJ+|OOCB1G+;.B
+ZfKBS<K*Fz8+pORj
K;*H+(:N6R&bp2#qR
-TFO4^92BT7FO%^9/
lp9fS<FM<B+;FMSW^
C5ycUKFc_2l+p2.E2
#l+OByNUOzpBH>4+R
R-yAYc-t7yJKbNJ/z
-6zX*j^:NfT||5ld4
+Gddlcp)G*tU<K@VC
|8M+H2EVM(L.k5*+B
Ed++G9zFFVU(Rb2#L
>P3Z#>J5|2+pGOp+p
D&OW%l8(4+(D^_k+)
WV/RLYPK#.kz<|*1L

Thanks doranchak, that’s one that I wasn’t aware of.

As I said, I’m working on a list of these along with some basic variations and their combined n-gram scores, any help is much appreciated! I believe the 340 will be solved in this direction. So to me it seems that it’s just a matter of finding out what exactly that he did. It is convoluted to do all these steps (mirror the 340, then this, then that) but maybe that’s what he did. Or maybe it was much simpler but were not getting it because of specific misalignments. A bit like searching for a needle in a haystack, therefore it should be best to cover all the bases first (interpretations).

If you look at the Kaczynski transposition matrix and how it was used then you know anything goes. Not saying that Kaczynksi = Zodiac because we just don’t know but maybe these killers just share similarities.

These variations we are finding all stem from the same bigram peaks (15, 19). So maybe there’s one that solves the 340 that we haven’t found yet.

I certainly hope this will be fruitful. Hopefully, these bigram peaks are true indicators of something real, and not just phantom noise. It would be really nice if one of the untranspositions led to substantially higher trigram counts or homophone cycle scores, to establish a strong correlation to the bigram peaks.

Here are my current full results, showing any operations that led to bigram repeats greater than 35, or trigram repeats greater than 3 (and found some of those 5 trigram ones you hinted at )

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

My diagonal untransposition routine starts only at the top left corner, which is why I added the 2nd flip/rotate steps to make them equivalent to starting at other corners.

Thanks for your table.

I think it’s one of the most promising directions and I will certainly keep working on it for quite a while. But anything may happen. Transposition seems to be the most likely option here, as I can’t think of anything else that would produce these peaks (perhaps repeating elements in the plaintext at a fixed distance, or something with the encoding?). I’m not asking you guys to help me, or to follow me in this direction but ofcourse any help is appreciated.

With the untranspositions we are now exploring – information is moving up and down allot and that will certainly destroy anything left of the cycles. That seems to only leave a few options for the difference in the cycles versus the 408: The encoding is just different from the 408 (more randomization, polyalphabetic, etc). Another step, superencipherment? Or the bigram repeat peaks 15, 19 can possible relate to a transposition scheme that we don’t understand (or haven’t uncovered) yet (more local shift of information).

What do I mean with information shift? These are my 2-cycle measurement on the 408 (which is the percentual difference from the randomized mean) so higher is more cyclic.

408: 249
408, each row randomized (position of the symbols are randomized locally over the row): 230

So it can be seen that randomizing the cipher, yet keeping the randomization local to a certain length (17 in this case), does not so much disturb the measurement. I’m sure it will offer a greater disturbance with a more exponential measurement. I’m not a big fan of those as they focus on the part of the whole.

408, rows per pair of 2 randomized: 188
340: 180

Ofcourse I’m not indicating that pairs of rows were randomized in the 340 but there is certainly a limit of how much information you can shift without disturbing the cycles to a breaking point. Also the cycles are ofcourse purely an artifact of the encoding. And it does make more sense to transpose first and then encode so it doesn’t make much sense to me to also look for a restoration of the cycles unless you specifically explore transformations that limit the shift of information (vague concept).

I was able to get 7 repeated trigrams to appear by applying a periodic transformation as the first step (that is, untransposing based on the period).

Here is a new spreadsheet showing the results:

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

It shows any permutation whose resulting ciphertext has more than 40 repeated bigrams or more than 4 repeated trigrams. Interestingly, untransposing at period 117, followed by horizontal flip, then 90 degree rotation, then rewriting into 6-column grid, then applying a second horizontal flip, then applying a 180 rotation, and ending with reading diagonally from the upper left corner, leads to another cipher text containing 42 repeated bigrams. I’m starting to wonder how to separate these from phantoms, since even with a small probability that a high number of repeats would occur, you’d be sure to find multiple hits when millions of permutations are tested (which I’ve done). So I think some kind of strong correlation measurement is needed (such as a high bigram count occurring with a high trigram count or high number of low-probability repeating fragments).

Thanks for the new table. I made an AZdecrypt file out of it with the 1804 permutations and will start scoring them soon. The results may give us an indication.

Update: decided on 30 restarts and 1.000.000 iterations per cipher with Practical Cryptography 5-grams.

https://drive.google.com/open?id=0B5r0r … FEtUVBGWUE

Thanks. I’d forgotten to include "finding the real solution" as one of the best correlation measurements for bigram repeats.

Thanks. I’d forgotten to include "finding the real solution" as one of the best correlation measurements for bigram repeats.

Yes, hehe. It was my first thought.

I need to go somewhere in an hour and I’ve calculated that the test will not be done before then so I’ll share the full results later this evening. For now these are the top 10 out of 290 ciphers processed. The grid x=14, 16 schemes are on top. It disturbs me because the Paul Averly card has the number 14 on it twice, and that’s how I found it in the first place (knowing that these kind of associations are sketchy). Though I am unable to come up with a reason it not solving in that specific direction. Let’s just wait a bit I guess.

Update: the 340’s base score with these n-grams is 20351.

Permutation 22: 41, 2, 1, 1, 180, 16, 1, 270, 1

Score: 20808 Ioc: 664 M: 185 C: 340 S: 63

poadderssensonded
tortwascsingemasi
thislydidthiswils
oheldinutagainere
useonlasanontarof
thesthelongboyand
eediocetonhsmithn
icmultancedfroemb
arrestinlaruesith
asbontastheatfilt
oflassiesaidrient
heedaneofulaginat
etsthatccoupiedfr
omthethindaystsfr
ryourfiddleoanddw
hiteemranomingara
wacrewsshayoopull
spaulateytoldinfr
ienetorerournwiso
nastacinguidthama

>+MC|D(cFHB)+kNf|
p+dpVM)R)Wk.UqLcW
<S5cZG|TC7z5FV52c
+ztZ|TB4-y.LWBO^D
4ct+B31c_8+JYM(+l
Xz6PYAfZ+B.;+G1BC
OO|KjROp+8zF*K<SB
KRq#2pb&R6N:(+H*;
9^%OF7TB29^4OFT-S
MF;+B<MF<Sf9pl/2p
+l2_cFKUcy5C^WHBp
zOUNyBO+l#2E.KJy7
t-cYAy-RR+4>TfN:^
j*Xz6-z/JNbG)pcld
dG+4dl5||2H+M8|CV
@K<Ut*dEB+*5k.L(M
VER(UVFFz9G++>#Z3
P>L#2bpOGp+2|5Jl%
WO&Dp+^D(+4(8VW)+
k_PYLR/k.#K|<z1*L

Permutation 2: 42, 4, 1, 1, 0, 14, 1, 0, 0

Score: 20742 Ioc: 699 M: 185 C: 340 S: 63

yhsteinduringthth
eametollfrioinsoi
lcmehisamagamedvd
saladdinaprominir
onarriesgavellthe
coonmosthodarisan
atrancnnatitthede
veoureofayersfind
omanasconsagandra
nsinsuchlationshe
plodondomdecesoft
ernthortoandthere
histilltolandtedt
resseeltermingart
ofinhassrnsciyone
edsitgegohemahill
teaterccsidencase
sasvineoshthatars
dooregranamedinch
healallydamonducm

>OpW%l+(D^k+)WV9/
RLYPFMSK#.k2l+p2z
<|NUOzpBH*1AYc-t7
yJKL-6zX*j^:NfTld
4+Gddlcp)GtU<K@VC
|8M+H25EVM(L.k5*+
BEdBT|++G9zFFVU(R
tc4D^b2#L>P3Z#l+(
MYJ+J5|2+pG1G+;.B
+Zf+pD&OK*Fz8+pOR
jK8(4+(:N6R&bp2#q
R_TFO4^92BT7FO%^C
/lp9fS<FM<B+;Fc(W
^C5ycUKFc_Nk+)B.E
2#l+OBypd+p|f>4+R
R-ykW)R)MVbNJ/zS<
WcLqU.||5z7CT|GZc
5*Ztz+c25VFOBWL.y
-48_c13B+AYP6zX|O
OCBKBS<>;*HM+-D|H

Permutation 4: 42, 4, 1, 1, 0, 14, 0, 270, 1

Score: 20724 Ioc: 716 M: 185 C: 340 S: 63

smdryingtoandregr
eentrastslauindue
tocamedidominedto
latedheconoscutil
inallieddatatthef
oaandupleagelapon
illitonnagerreage
teitonusestarsing
ananapoundamangli
nrundtimtoreandme
ntagingscheinduss
estrmioguitormyof
ridgustratingregr
ofpleatrescandill
usinmildlndousine
edlardedaencarest
reesaloopeoftoare
porteneupermirell
diasemaininthecom
mfitistsgodandtod

>OpW%l+(D^k+)WV9/
RLYPFMSK#.k2l+p2z
<|NUOzpBH*1AYc-t7
yJKL-6zX*j^:NfTld
4+Gddlcp)GtU<K@VC
|8M+H25EVM(L.k5*+
BEdBT|++G9zFFVU(R
tc4D^b2#L>P3Z#l+(
MYJ+J5|2+pG1G+;.B
+Zf+pD&OK*Fz8+pOR
jK8(4+(:N6R&bp2#q
R_TFO4^92BT7FO%^C
/lp9fS<FM<B+;Fc(W
^C5ycUKFc_Nk+)B.E
2#l+OBypd+p|f>4+R
R-ykW)R)MVbNJ/zS<
WcLqU.||5z7CT|GZc
5*Ztz+c25VFOBWL.y
-48_c13B+AYP6zX|O
OCBKBS<>;*HM+-D|H

Permutation 19: 41, 3, 1, 1, 0, 14, 0, 90, 0

Score: 20688 Ioc: 747 M: 185 C: 340 S: 63

epsreforhechatsaa
dhdiningtonigheah
ileoftainenstrong
desmanthatinloses
strialarreunandse
dstotellfoureahea
styeahoonairdtons
conodayditatorthe
reoatrishegoalrea
builledstolochont
edalectatimerehea
tedplayearinentss
edmintprestlongat
heseeminoorsaltar
ralerthehasistcar
dstreesystemssynd
amfingherbutedinf
igonclusandhehisy
edsntsoracteriall
inreaireaprilyado

HD|M+->;*HKBS<|OO
CBAYP6zX8_c13B+OB
WL.y-4Ztz+c25VFz7
CT|GZc5*S<WcLqU.|
|5kW)R)MVbNJ/zpd+
p|f>4+RR-yNk+)B.E
2#l+OByFc(W^C5ycU
KFc_C/lp9fS<FM<B+
;TFO4^92BT7FO%^+(
:N6R&bp2#qR_K*Fz8
+pORjK8(41G+;.B+Z
f+pD&Ol+(MYJ+J5|2
+pGtc4D^b2#L>P3Z#
BT|++G9zFFVU(R5EV
M(L.k5*+BEdtU<K@V
C|8M+H2ld4+Gddlcp
)G-6zX*j^:NfTAYc-
t7yJKLNUOzpBH*12l
+p2z<|FMSK#.k9/RL
YPk+)WV+(D^W%lOp>

Permutation 1: 42, 4, 1, 1, 0, 14, 1, 180, 0

Score: 20682 Ioc: 741 M: 185 C: 340 S: 63

candhocatsthesels
sagenintheprofred
undnesforsohelpar
opearlieraanyndon
thecalmoodidnaudi
iheseathstuesheis
unedhalfofsyourli
ntofthetofthertec
liesfiresriesfrfi
nistmainlythetrsm
isthrefassantheph
entherethsarahano
theippisdismineol
ityofferehharesue
harandtoourschora
lofstyledtoessehe
serelyimagenddsau
ildontracetesylat
esthesanishofindi
crondhaintheentss

H|D-+MH*;><SBKBCO
O|Xz6PYA+B31c_84-
y.LWBOFV52c+ztZ*5
cZG|TC7z5||.UqLcW
<Sz/JNbVM)R)Wky-R
R+4>f|p+dpyBO+l#2
E.B)+kN_cFKUcy5C^
W(cF;+B<MF<Sf9pl/
C^%OF7TB29^4OFT_R
q#2pb&R6N:(+4(8Kj
ROp+8zF*KO&Dp+fZ+
B.;+G1Gp+2|5J+JYM
(+l#Z3P>L#2b^D4ct
R(UVFFz9G++|TBdEB
+*5k.L(MVE52H+M8|
CV@K<UtG)pclddG+4
dlTfN:^j*Xz6-LKJy
7t-cYA1*HBpzOUN|<
z2p+l2k.#KSMFPYLR
/9VW)+k^D(+l%WpO>

Permutation 17: 41, 3, 1, 1, 0, 14, 1, 180, 1

Score: 20657 Ioc: 673 M: 185 C: 340 S: 63

swoundldistancomm
faustheforethanma
larydedrenehroleo
fcoaderincleaparo
oraldeduostorespn
soileneedytandart
heinmayleglifryea
tlerfristinclucan
dclmeithacolmling
stheisshepertileo
nsmentogetandrand
inswimingusonoroh
nsareewishealthde
aconnatelloagerto
ugararinatpractso
foounshipenappies
dadhefinisticused
royotatamesasithi
nshecolunteratrea
standlongwillimsl

HD|M+->;*HKBS<|OO
CBAYP6zX8_c13B+OB
WL.y-4Ztz+c25VFz7
CT|GZc5*S<WcLqU.|
|5kW)R)MVbNJ/zpd+
p|f>4+RR-yNk+)B.E
2#l+OByFc(W^C5ycU
KFc_C/lp9fS<FM<B+
;TFO4^92BT7FO%^+(
:N6R&bp2#qR_K*Fz8
+pORjK8(41G+;.B+Z
f+pD&Ol+(MYJ+J5|2
+pGtc4D^b2#L>P3Z#
BT|++G9zFFVU(R5EV
M(L.k5*+BEdtU<K@V
C|8M+H2ld4+Gddlcp
)G-6zX*j^:NfTAYc-
t7yJKLNUOzpBH*12l
+p2z<|FMSK#.k9/RL
YPk+)WV+(D^W%lOp>

Permutation 3: 42, 4, 1, 1, 0, 14, 0, 90, 1

Score: 20619 Ioc: 731 M: 185 C: 340 S: 63

canchocatvthegels
salaninthefrommac
urenesforsohannar
onearliaraaroneon
thadalmoodidneuci
ihaveathstuesheis
uredhelmofgoourli
ntofthetofthected
liesfiresciasfrmi
nistmainlythatmgm
isthmafagsanthenh
ertherethsarahano
theinfiveisminaon
itooffacehharesue
hareretoourschoma
longtonedtoesseha
serelyimalancegau
incontracetasolat
astheserighofinei
dcondheintheentsv

H|D-+MH*;><SBKBCO
O|Xz6PYA+B31c_84-
y.LWBOFV52c+ztZ*5
cZG|TC7z5||.UqLcW
<Sz/JNbVM)R)Wky-R
R+4>f|p+dpyBO+l#2
E.B)+kN_cFKUcy5C^
W(cF;+B<MF<Sf9pl/
C^%OF7TB29^4OFT_R
q#2pb&R6N:(+4(8Kj
ROp+8zF*KO&Dp+fZ+
B.;+G1Gp+2|5J+JYM
(+l#Z3P>L#2b^D4ct
R(UVFFz9G++|TBdEB
+*5k.L(MVE52H+M8|
CV@K<UtG)pclddG+4
dlTfN:^j*Xz6-LKJy
7t-cYA1*HBpzOUN|<
z2p+l2k.#KSMFPYLR
/9VW)+k^D(+l%WpO>

Permutation 20: 41, 3, 1, 1, 0, 14, 0, 270, 0

Score: 20600 Ioc: 689 M: 185 C: 340 S: 63

stsinmarchamtheal
ianterodlinuponth
inlegetoseridecon
calltorialesofcot
taissohisinghieus
andpensbehererici
abraceannotohhute
ofbasionwarianoth
nurehelichisortho
fhertholicedlasth
eonedmadontwoafri
chansnotentaisntt
hepinplottinsmand
eacrsamcanceshion
bretherccaahisout
hstonerwaitatmeru
urediamplerafouts
oonarnahonficcrim
esheblamesofalles
ssupledgetschiurg

>pOl%W^D(+VW)+kPY
LR/9k.#KSMF|<z2p+
l21*HBpzOUNLKJy7t
-cYATfN:^j*Xz6-G)
pclddG+4dl2H+M8|C
V@K<UtdEB+*5k.L(M
VE5R(UVFFz9G++|TB
#Z3P>L#2b^D4ctGp+
2|5J+JYM(+lO&Dp+f
Z+B.;+G14(8KjROp+
8zF*K_Rq#2pb&R6N:
(+^%OF7TB29^4OFT;
+B<MF<Sf9pl/C_cFK
Ucy5C^W(cFyBO+l#2
E.B)+kNy-RR+4>f|p
+dpz/JNbVM)R)Wk5|
|.UqLcW<S*5cZG|TC
7zFV52c+ztZ4-y.LW
BO+B31c_8Xz6PYABC
OO|<SBKH*;>-+M|DH

Permutation 18: 41, 3, 1, 1, 0, 14, 1, 0, 1

Score: 20536 Ioc: 757 M: 185 C: 340 S: 63

strainatchindheun
ioncernshematasth
aslitetarolisapon
tondrelyaficanted
toassehisasthekad
instonstehiserice
itsocoimmacehhare
ndbusinslationeth
sasahanecharetthe
dherthelicksforth
kamisconnstleonly
chairmorescairmrt
hetemthectandcoms
oopsdancomperhans
tredhelptoohiseat
hstanalliedodnesa
aronionthisodeard
oamissohanditprin
erheblockcanunded
rrathestitstheatt

>pOl%W^D(+VW)+kPY
LR/9k.#KSMF|<z2p+
l21*HBpzOUNLKJy7t
-cYATfN:^j*Xz6-G)
pclddG+4dl2H+M8|C
V@K<UtdEB+*5k.L(M
VE5R(UVFFz9G++|TB
#Z3P>L#2b^D4ctGp+
2|5J+JYM(+lO&Dp+f
Z+B.;+G14(8KjROp+
8zF*K_Rq#2pb&R6N:
(+^%OF7TB29^4OFT;
+B<MF<Sf9pl/C_cFK
Ucy5C^W(cFyBO+l#2
E.B)+kNy-RR+4>f|p
+dpz/JNbVM)R)Wk5|
|.UqLcW<S*5cZG|TC
7zFV52c+ztZ4-y.LW
BO+B31c_8Xz6PYABC
OO|<SBKH*;>-+M|DH

Permutation 23: 41, 2, 1, 1, 180, 16, 0, 180, 0

Score: 20535 Ioc: 752 M: 185 C: 340 S: 63

tileratshavethema
ndreasonspandpatr
riesainditddistoe
llsonnilesseasere
tsthasinormicarth
eraatnoiaasimonim
mieddidleverbegin
allynooneerptherc
apethrisintoplate
doorarspeatsemiin
dividlyurstrongst
urnstoalionastral
gionsllbeaddishet
ourtiseandtentatt
rolinghonlythebeg
insthenamellonceo
patorthproonalcen
eisessearnailesur
rethahardedtedmnd
aylandoosespartno

L*1z<|K#.k/RLYP_k
+)WV8(4+(D^+pD&OW
%lJ5|2+pGOpb2#L>P
3Z#>++G9zFFVU(REV
M(L.k5*+BEd*tU<K@
VC|8M+H2||5ld4+Gd
dlcp)GbNJ/z-6zX*j
^:NfT>4+RR-yAYc-t
7yJK.E2#l+OByNUOz
pBHW^C5ycUKFc_2l+
p2/lp9fS<FM<B+;FM
S-TFO4^92BT7FO%^9
;*H+(:N6R&bp2#qRK
BS<K*Fz8+pORjK|OO
CB1G+;.B+ZfAYP6zX
l+(MYJ+8_c13B+tc4
D^OBWL.y-4BT|Ztz+
c25VF5z7CT|GZc5S<
WcLqU.kW)R)MVpd+p
|fNk+)BHFc(D|CM+>

Here are the words found in each candidate plaintext. Grouped by word length. Each group orders the words from common to obscure.

REHEATED

SYSTEMS REASONS EARLIER NAPPIES ANDREAS ALADDIN TONNAGE LATIONS LASSIES LONGTON INDIVID ENCASES 
TERMING CONNATE

SYSTEM DURING HEALTH REPORT REASON STRONG MAINLY LATEST BEGINS STRAIN STORES CRIMES ARREST ALLIED 
DINING HEATED SOFTER PLEDGE RATING DRYING ENAMEL ANDREA BLAMES FIDDLE CONTRA CHORAL DEACON IMAGEN 
STYLED LASSIE MELLON AGAINE HEFORE ANTERO LATION PLATED ADDERS STONER ATIONS ASTRAL ARANDT REHEAT 
DOMINE ANDTHE THECAL GAINER CANTED INGTON ANGLIN SCHEIN ENCASE AMPLER SWOUND MINGUS EASONS TOLAND 
MULTAN BARRES

THERE THESE STILL AGAIN WHITE CASES APRIL SOUTH UNION MARCH STYLE NEEDS DUETO ALONG TREES SMITH 
CHAIR IMAGE NOONE STONE CRIME OFFER TRIAL STAND POUND TRAIN GREEN BEGIN SIMON CARDS STARS BLOCK 
SARAH STORE PLATE TURNS NAMED BLAME FORTH FIRES WOUND TRACE SALAD CREWS NINTH PAULA ALTAR LOSES 
AMPLE ALERT ONION PULLS CARES STEMS SINGH LEVER PEARL LEDGE AMISS STEIN NEEDY WILLI LANCE AARON 
HEGEL BRACE ATTHE ADDIS TIMER TIONS ORTHO ANDRE ASTRA ETHER SHAVE MORES HARES TARSI SCAND HANNA 
MINED TONER RIMES SCHOR EATER STRAT URING MALAR ANALL BARRE ASANO MELLO DAMON TRISH FORET ILLUS 
REUSE ADDER STRIA PLEAT CHATS TAINE SINGE OTHEI LARUE LANDO LICKS ONTHE SHEMA MINIS FINIS TANCE 
LALLY ADDIN THINS PEATS FAUST TONED OFTHE MANAS ALLES PREST INDUS ANNOT ALLIN FALLE AGING FOURE 
ATION SEMAI MALAN AYERS THERA DARTH TONUS THEMA LESSE DISTA MULTA COADE RANDI PORTE MAYLE ESTRE 
VERBE SONDE SAGEN ARIAN THEIS MESAS LUCAN FROMM EDALE TILER LATED DUPLE MANDE GAVEL AREND NALLY 
LONGA HAINT ELLON ALLIE THEIN SALTA NILES ANDRA THEON GRANA ACTER UNTER SAGAN NATCH TRONG SENSO 
ISING CHORA ATING ALLYN AILES SCUTI GAINE FRIST CANDI ANCES THECA TAMES PRACT ESTAR EASON DIDNA 
OFTER INDIC IMMAC ETHAN COTTA CONCA CAPET ANISH ANDAR STOEL PONTO PERHA LYTHE HEMAN HASER ERMIN 
DAMAN CONTR ANUND TRESS TREAS TELLO SALAN RAINA ONAIR LATEY LATES LAMES ISTIC INTHE HEISS HARER 
HARAN AFRIC

THAT THIS FROM HAVE WILL SAID THEM INTO THEN TIME YOUR MORE ONLY THAN YEAH SUCH YEAR HERE LAST MOST 
PART CAME FOUR CASE FIVE HAND SIDE DAYS USED FIND EVER FACE DOOR LESS NAME LONG MAIN UPON HELP GAVE 
HALF TELL NEED SORT ROLE DATA LAND TOLD ONCE CARE SURE SOON GAME HAIR REST NEAR FIRE HELD TERM EAST 
AINT FINE PAUL PLAY HARD TEST SEEM LATE ONTO MISS TURN GETS CALL EDGE RACE RICH TREE WISH SOFT SEAT 
GOAL CARD RAIN NOTE ALAN HEAT WAIT THIN TOUR LOSE FALL STAR ISNT IRON SHIP TONE MINE SOIL LIES RING 
HILL SONS MOOD USES CREW GAIN PORT SAND DEAR MERE ANNA ACTS PULL SALT FRED TILL ERIC EASE RELY INCH 
OURS RICE PLOT ROPE CHIN COUP DISH CATS ORAL LOCK MILD EARN SING RIDE SARA LISA EARL TONS TENT PLEA 
MIST RATS SOFA CALM SEAN LION NORM TOES VERB LOCH CURE HATS GREG SEAS CHAT LOOP CART ARCH ALLY TORE 
NOON SWIM CAPE ALEC DEED TOLL PEAT THEE IDLE HANS STEM PRIN TINS SINS FORT ACRE IONS ANAL DALE FAYE 
DIST NAIL SPAN MARC PIES PENS GINA LEAP HARE MINI ILLI PROF BLOC MINT LIED EATS HIST TORT REES TILE 
HEAL SAGA NILE RALE UNDE SCAN LIAR STAN HERB LEON ASTA MESH GRAN INDI IDLY LASS VINE HIND LAME SINO 
SAGE OCHO ETON TITS TAME ONUS LLTH FORE DANE ESTA NEON PEAR ACET SLIT PERM OFFA REAP HELM OMAN BARR 
CONS OOPS THEO LICE DUET NAIR ICED NISH MISC DOMI LICK ARDS ROON PONT BEAD MALA AUDI DART LING HORT 
SYST CHAN LEVE KAMI HEED GUST RETT RENE IONA AMES MULT SESS CRIM OTOH ORTH FAGS AMIS SINE ARIA SPAR 
PERT NIRO NANA DERS MACE SEMA FERE CAND SEMI WHIT ANDR HARA TONI ANTE ORES COMS UREA PRES MIRE MELL 
MEDI OUTS PIED GELS ALES SCSI LINA LARD COMP SASA ANCE NOTO ANAT TERN PROM MAND IMAG NMOS NIGH MINA 
MANG URNS LUCA ALIA RIEN ESEA DIAM RIME ASTR TRIS TEEM SHAY LITE FRYE CHAR BUTE TORI SONO KADI ADHD 
OURE AYER NING ICAN AYLA LEDS INCL ALFO SINT TRAN SAAD MESA FICA DILL TERI RONA NARR DIDO TUES SORA 
SANT CERN TLON MICA STIL RESP TRAC NODA ERIN MADO HERA FRIO COTT STRI RAND HITE CONN ANSI TATA ASSE 
LLYN FTHE HANN EDIN BRAC THOR SHEP ONDO MOND NENT LECT HEEN DECO COLM CANT ATHE TING MING CHOR CHOC 
TSIN TANA SERI ADDI TOTE TEAT REPO HEST GINS ARAN STOR SEEL LEGE RYDE RAST NEER MALO ESTI ECON STAC 
LINT INGE HELI GARA ERAT COND COMM AIRE OREG MATA ILYA ANON RUES REDI ILES AUST AGER NATE ISAS HIEU 
HASE DONT ASAN ALTA THET THAD TERA SCON RONG REUS ONDE OLEO INCO GREE GODA ANAS ABRA TTHE SHEA RFID 
LADD AIRD THEL OFFE HEIN HAIN ESAS ARTH ARES TRES TREA SERE ISTO DAMA BASI ASSI AINA TROL TRAS STYE 
SENS NCES MERU MANT HETH TENE TAIN SNOT RESS PLOD PLAT ISER ILEO GING ELON ELLO DREG TRON THER SALO 
SAAR RISA PLED NATI INGS FING ATTR ANDA ANAP THEI THEA SION PENA LEAT LALL ITIS HASS THRE TARO SCHE 
NOTH INLA BRET AMAN ALLT ALLI UTIL THAM TAND MAHI LITY LARY HOMA GERT ECOL EARD DIVI CATV ATER AMON 
ACTE YING RIAN RANA NGAN ISAM ILLE ESCA DIAS ARIS AGIN AGEN USIN OTHE NAPO MASI ISTS ISTA HATA GATH 
FROE FINI ESSE CONT CONC ATRA ATED ALAR TWAS SALA RATI OFTE MANA LOTT LENE EONS ENTS EMIN DERI CLEA 
AREN APPI ANDS ANDI WARI TATI SYED SOLA SOCO SEAR SANA NAND MENT MAGE FULA FORS ENSO ELMO DUOS DINA 
DARI COAD CHAI BUSI TOLA TARR STRA SLAT SAIN RIAL RATH NOOR NOMI NIST NETH MBAR MAGA LUNT IRES IDEN 
HOON HOCA HAHA EFAS ANGL ADER TION THES SUEH STON SIST SCHO SANO ROND RNAI RIST RINA REND NERE NDDS 
LAYE ISTH INDO ICUS HESE HELO HAMA ESPN DVDS DRIE DEVE CHON CHAM ASSR ASIS ANNO USTR TERO TARS STOA 
SONA SMIT SITH SARE SAMA NAST MESO LTOR LIAN LANI INIS INED HOLI HEMA GUID FTER ELLS COON AYLE AULA 
ARON ANIS ANDO WILS TOFT TINC STOL SIMO SESA SANI SAHA RIES REFO RANS PRAC OREA OLIN MONI MINO LIMS 
LIER LATA LANC INST HILE GELA GANA ETES EGLI DIDN CRON CHIU BUIL ANTH ALON ALLE ALIO AGAI ACEH UNIO 
TRIA TRAL TOAL TEMS TEDI SHEM SCUT ONAL NETO NCLE LYCH LICH INGA INDU INAL IDEC ICHI HORA HISE HEBE 
HEAH GION GETA GAND ERBE EITH EHER EDDI EDDA EATE DTOA DREN DINI CETA ATES ATCC ASAH ALRE AINE ACRS

"Crimes" stood out, and here’s its context in your plaintext:

crime she blames of all

stsinmarchamtheal
ianterodlinuponth
inlegetoseridecon
calltorialesofcot
taissohisinghieus
andpensbehererici
abraceannotohhute
ofbasionwarianoth
nurehelichisortho
fhertholicedlasth
eonedmadontwoafri
chansnotentaisntt
hepinplottinsmand
eacrsamcanceshion
bretherccaahisout
hstonerwaitatmeru
urediamplerafouts
oonarnahonficcrim
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One thing that just crossed my mind is a scheme similar to this (I didn’t fill in the image completely):

It would accomplish a few things we have been looking for. It creates the score bump we find at grid x=14, 16. It leaves small repeating fragments intact (bigrams). And since Information is only moving within a specific limit (a couple of rows) this could explain the randomization of the cycles while still leaving some its information intact.

Those groups of 3 rows could be arranged horizontally from right to left, resulting in a grid about 114 columns in width.

What I like about that idea is it may be consistent with Dan Olson’s idea of splitting the cipher in half and placing the halves side by side.

So maybe we split the cipher into multiple groups, put them side to side, then read out the diagonals.