Zodiackillersite.com

by **Jarlve** » Mon Dec 05, 2016 2:11 pm

I belief to have found evidence of transposition misalignment in the 340.

Here's a graph that shows it. The x-axis are the positions from 1 to 341 at which a new unique symbol was added. And the y-axis is the AZdecrypt score with 100 restarts. Prior to the other operations the 340 was mirrored. Highest score is slightly over 21000 with a symbol added at position 200.

You can see that there is a spike in the scores which occurs around position 200 in a region of about 15 characters wide, so it is unlikely to be a random spike. And this region sits almost in the center of the "J|*|J" pivot. Either it is coincidence or it links the pivot to the misalignment I found. It would suggest that Zodiac omitted character(s) during the transposition process and this could also have caused period 30 bigram repeats to have shifted to period 29 (which originally were period 2 repeats).

What I don't know,
- How many character(s) have been omitted, or added even?
- Exactly what transposition was used, period, skytale, columnar, diagonal or other?
- Are other shenanigans still at work diffusing the plaintext somehow?

Code: Select all: AZdecrypt combine statistics for: 340.txt -------------------------------------------------- Add character(1), Period(UTP,15): 20497.14779421491 Add character(2), Period(UTP,15): 20556.52153687464 Add character(3), Period(UTP,15): 20475.47773236265 Add character(4), Period(UTP,15): 20654.78129878752 Add character(5), Period(UTP,15): 20671.5501303477 Add character(6), Period(UTP,15): 20753.55719246887 Add character(7), Period(UTP,15): 20657.60745750204 Add character(8), Period(UTP,15): 20469.090151178 Add character(9), Period(UTP,15): 20426.9917844562 Add character(10), Period(UTP,15): 20452.8869879031 Add character(11), Period(UTP,15): 20461.56587429997 Add character(12), Period(UTP,15): 20468.21487207458 Add character(13), Period(UTP,15): 20256.2186711912 Add character(14), Period(UTP,15): 20481.90348273641 Add character(15), Period(UTP,15): 20186.57491551695 Add character(16), Period(UTP,15): 20201.26922300893 Add character(17), Period(UTP,15): 20292.01178247043 Add character(18), Period(UTP,15): 20645.39506563861 Add character(19), Period(UTP,15): 20301.03884313522 Add character(20), Period(UTP,15): 20622.5268430728 Add character(21), Period(UTP,15): 20447.65626932274 Add character(22), Period(UTP,15): 20563.20284182889 Add character(23), Period(UTP,15): 20533.79190586108 Add character(24), Period(UTP,15): 20671.06079954849 Add character(25), Period(UTP,15): 20661.74318163066 Add character(26), Period(UTP,15): 20622.44146987588 Add character(27), Period(UTP,15): 20629.8020526509 Add character(28), Period(UTP,15): 20650.17013515145 Add character(29), Period(UTP,15): 20393.09373612172 Add character(30), Period(UTP,15): 20492.70600006293 Add character(31), Period(UTP,15): 20450.41603761886 Add character(32), Period(UTP,15): 20555.66780505846 Add character(33), Period(UTP,15): 20420.38829166154 Add character(34), Period(UTP,15): 20514.79361391663 Add character(35), Period(UTP,15): 20589.14942789692 Add character(36), Period(UTP,15): 20499.19134057719 Add character(37), Period(UTP,15): 20591.42229143892 Add character(38), Period(UTP,15): 20391.69751012192 Add character(39), Period(UTP,15): 20470.43132086313 Add character(40), Period(UTP,15): 20540.47145664075 Add character(41), Period(UTP,15): 20405.89188121062 Add character(42), Period(UTP,15): 20477.02553541093 Add character(43), Period(UTP,15): 20440.6306314431 Add character(44), Period(UTP,15): 20494.09296553828 Add character(45), Period(UTP,15): 20207.09810501791 Add character(46), Period(UTP,15): 20567.0396933099 Add character(47), Period(UTP,15): 20543.3777681775 Add character(48), Period(UTP,15): 20635.63524788871 Add character(49), Period(UTP,15): 20684.83976424922 Add character(50), Period(UTP,15): 20587.46811799252 Add character(51), Period(UTP,15): 20613.10308532339 Add character(52), Period(UTP,15): 20650.00357942961 Add character(53), Period(UTP,15): 20622.20344940638 Add character(54), Period(UTP,15): 20721.5023329097 Add character(55), Period(UTP,15): 20435.01828048431 Add character(56), Period(UTP,15): 20399.84397997556 Add character(57), Period(UTP,15): 20548.40017126347 Add character(58), Period(UTP,15): 20481.5061336608 Add character(59), Period(UTP,15): 20444.47547621553 Add character(60), Period(UTP,15): 20453.64730382281 Add character(61), Period(UTP,15): 20338.98298360955 Add character(62), Period(UTP,15): 20313.92893439075 Add character(63), Period(UTP,15): 20460.35771135967 Add character(64), Period(UTP,15): 20341.81514707755 Add character(65), Period(UTP,15): 20446.32051295977 Add character(66), Period(UTP,15): 20465.43610891803 Add character(67), Period(UTP,15): 20318.10240758756 Add character(68), Period(UTP,15): 20196.91276282664 Add character(69), Period(UTP,15): 20225.15501415193 Add character(70), Period(UTP,15): 20385.4885205276 Add character(71), Period(UTP,15): 20498.32771332123 Add character(72), Period(UTP,15): 20412.61953460037 Add character(73), Period(UTP,15): 20303.32972057503 Add character(74), Period(UTP,15): 20322.53159074688 Add character(75), Period(UTP,15): 20430.28280412346 Add character(76), Period(UTP,15): 20347.33724209415 Add character(77), Period(UTP,15): 20353.59469072027 Add character(78), Period(UTP,15): 20448.99463801572 Add character(79), Period(UTP,15): 20471.33433559222 Add character(80), Period(UTP,15): 20531.48067971342 Add character(81), Period(UTP,15): 20529.75008804381 Add character(82), Period(UTP,15): 20691.91237363118 Add character(83), Period(UTP,15): 20374.46409439576 Add character(84), Period(UTP,15): 20270.21121329562 Add character(85), Period(UTP,15): 20260.29493767911 Add character(86), Period(UTP,15): 20311.42444536918 Add character(87), Period(UTP,15): 20454.6495654676 Add character(88), Period(UTP,15): 20282.4370020057 Add character(89), Period(UTP,15): 20272.57808132248 Add character(90), Period(UTP,15): 20487.18351109194 Add character(91), Period(UTP,15): 20455.56664954765 Add character(92), Period(UTP,15): 20427.57416807809 Add character(93), Period(UTP,15): 20378.60238358068 Add character(94), Period(UTP,15): 20377.18361543204 Add character(95), Period(UTP,15): 20335.48015077374 Add character(96), Period(UTP,15): 20400.65195025031 Add character(97), Period(UTP,15): 20272.55695827207 Add character(98), Period(UTP,15): 20336.97112342358 Add character(99), Period(UTP,15): 20485.88411393922 Add character(100), Period(UTP,15): 20452.67885376603 Add character(101), Period(UTP,15): 20480.90663580828 Add character(102), Period(UTP,15): 20462.10789519166 Add character(103), Period(UTP,15): 20139.43720837317 Add character(104), Period(UTP,15): 20451.1327111745 Add character(105), Period(UTP,15): 20390.36103866927 Add character(106), Period(UTP,15): 20294.67627519697 Add character(107), Period(UTP,15): 20193.7871592832 Add character(108), Period(UTP,15): 20274.8722999499 Add character(109), Period(UTP,15): 20248.66337059916 Add character(110), Period(UTP,15): 20435.06127419788 Add character(111), Period(UTP,15): 20277.43503720539 Add character(112), Period(UTP,15): 20252.83894928991 Add character(113), Period(UTP,15): 20249.03761220359 Add character(114), Period(UTP,15): 20223.6224537336 Add character(115), Period(UTP,15): 20156.10349619347 Add character(116), Period(UTP,15): 20322.82220986226 Add character(117), Period(UTP,15): 20324.42761841093 Add character(118), Period(UTP,15): 20402.67161130511 Add character(119), Period(UTP,15): 20398.76364651454 Add character(120), Period(UTP,15): 20338.10247949524 Add character(121), Period(UTP,15): 20287.57362707046 Add character(122), Period(UTP,15): 20399.65454774255 Add character(123), Period(UTP,15): 20415.34453459679 Add character(124), Period(UTP,15): 20252.45415634761 Add character(125), Period(UTP,15): 20355.2211069234 Add character(126), Period(UTP,15): 20162.52247659618 Add character(127), Period(UTP,15): 20206.12044020012 Add character(128), Period(UTP,15): 20175.61481278194 Add character(129), Period(UTP,15): 20325.73492221403 Add character(130), Period(UTP,15): 20145.96260233126 Add character(131), Period(UTP,15): 20282.30129891121 Add character(132), Period(UTP,15): 20251.52767743671 Add character(133), Period(UTP,15): 20318.16526105799 Add character(134), Period(UTP,15): 20244.54985739642 Add character(135), Period(UTP,15): 20430.81053363648 Add character(136), Period(UTP,15): 20503.24337937142 Add character(137), Period(UTP,15): 20619.71368388441 Add character(138), Period(UTP,15): 20574.79637764343 Add character(139), Period(UTP,15): 20572.5712763622 Add character(140), Period(UTP,15): 20580.57819873958 Add character(141), Period(UTP,15): 20569.29365708616 Add character(142), Period(UTP,15): 20556.35288649235 Add character(143), Period(UTP,15): 20454.82109854035 Add character(144), Period(UTP,15): 20603.55969205789 Add character(145), Period(UTP,15): 20411.37252837968 Add character(146), Period(UTP,15): 20515.15009254269 Add character(147), Period(UTP,15): 20586.10632636754 Add character(148), Period(UTP,15): 20516.32595466875 Add character(149), Period(UTP,15): 20253.11082763146 Add character(150), Period(UTP,15): 20406.80615398801 Add character(151), Period(UTP,15): 20129.13486589471 Add character(152), Period(UTP,15): 20463.4473212385 Add character(153), Period(UTP,15): 20544.62697079657 Add character(154), Period(UTP,15): 20501.44209164732 Add character(155), Period(UTP,15): 20525.89433823337 Add character(156), Period(UTP,15): 20551.03518290377 Add character(157), Period(UTP,15): 20662.6393499669 Add character(158), Period(UTP,15): 20685.1694057838 Add character(159), Period(UTP,15): 20640.01134069024 Add character(160), Period(UTP,15): 20639.36847877805 Add character(161), Period(UTP,15): 20647.2543483223 Add character(162), Period(UTP,15): 20622.34645228502 Add character(163), Period(UTP,15): 20563.37707268242 Add character(164), Period(UTP,15): 20585.08616892712 Add character(165), Period(UTP,15): 20531.30592573456 Add character(166), Period(UTP,15): 20320.95388466655 Add character(167), Period(UTP,15): 20239.49462071494 Add character(168), Period(UTP,15): 20326.02649382177 Add character(169), Period(UTP,15): 20341.88079272963 Add character(170), Period(UTP,15): 20206.20237387368 Add character(171), Period(UTP,15): 20231.2411830227 Add character(172), Period(UTP,15): 20362.27614512159 Add character(173), Period(UTP,15): 20345.42494155855 Add character(174), Period(UTP,15): 20252.9376864744 Add character(175), Period(UTP,15): 20311.163052973 Add character(176), Period(UTP,15): 20412.1463592787 Add character(177), Period(UTP,15): 20344.9187334773 Add character(178), Period(UTP,15): 20312.37524577943 Add character(179), Period(UTP,15): 20169.01013723058 Add character(180), Period(UTP,15): 20320.71830082086 Add character(181), Period(UTP,15): 20304.48454594837 Add character(182), Period(UTP,15): 20367.42088629229 Add character(183), Period(UTP,15): 20369.57034127957 Add character(184), Period(UTP,15): 20267.56181344826 Add character(185), Period(UTP,15): 20241.92504870497 Add character(186), Period(UTP,15): 20222.46886178093 Add character(187), Period(UTP,15): 20151.04145890522 Add character(188), Period(UTP,15): 20193.90181131116 Add character(189), Period(UTP,15): 20185.38623089797 Add character(190), Period(UTP,15): 20243.38899894587 Add character(191), Period(UTP,15): 20447.38266130773 Add character(192), Period(UTP,15): 20656.29103800294 Add character(193), Period(UTP,15): 20670.82235437902 Add character(194), Period(UTP,15): 20628.95065938413 Add character(195), Period(UTP,15): 20772.73992521808 Add character(196), Period(UTP,15): 20691.88449277981 Add character(197), Period(UTP,15): 20879.90458270963 Add character(198), Period(UTP,15): 20866.42745981893 Add character(199), Period(UTP,15): 20934.29845849976 Add character(200), Period(UTP,15): 21057.68851181704 Add character(201), Period(UTP,15): 20974.07162755997 Add character(202), Period(UTP,15): 20940.62091645834 Add character(203), Period(UTP,15): 20948.84430563744 Add character(204), Period(UTP,15): 20837.76856421685 Add character(205), Period(UTP,15): 20914.95848643724 Add character(206), Period(UTP,15): 20810.24776198059 Add character(207), Period(UTP,15): 20807.68097923282 Add character(208), Period(UTP,15): 20784.73181307257 Add character(209), Period(UTP,15): 20870.89544222549 Add character(210), Period(UTP,15): 20790.24155197994 Add character(211), Period(UTP,15): 20719.0181832735 Add character(212), Period(UTP,15): 20802.14555253221 Add character(213), Period(UTP,15): 20729.762121137 Add character(214), Period(UTP,15): 20287.03648701519 Add character(215), Period(UTP,15): 20365.8226658095 Add character(216), Period(UTP,15): 20382.94452125492 Add character(217), Period(UTP,15): 20357.28095197375 Add character(218), Period(UTP,15): 20154.89833429463 Add character(219), Period(UTP,15): 20300.97345367259 Add character(220), Period(UTP,15): 20111.74933789884 Add character(221), Period(UTP,15): 20128.03217494718 Add character(222), Period(UTP,15): 20194.77819594127 Add character(223), Period(UTP,15): 20339.24691501637 Add character(224), Period(UTP,15): 20221.10566693204 Add character(225), Period(UTP,15): 20348.69420298135 Add character(226), Period(UTP,15): 20302.4728420567 Add character(227), Period(UTP,15): 20355.56907316226 Add character(228), Period(UTP,15): 20372.29320248942 Add character(229), Period(UTP,15): 20305.66315919613 Add character(230), Period(UTP,15): 20336.06546751155 Add character(231), Period(UTP,15): 20448.95498326073 Add character(232), Period(UTP,15): 20458.4925258353 Add character(233), Period(UTP,15): 20507.20496906699 Add character(234), Period(UTP,15): 20411.05043288422 Add character(235), Period(UTP,15): 20526.98846752935 Add character(236), Period(UTP,15): 20373.87377227912 Add character(237), Period(UTP,15): 20423.98286648207 Add character(238), Period(UTP,15): 20438.30850757277 Add character(239), Period(UTP,15): 20383.23517239568 Add character(240), Period(UTP,15): 20417.18707147837 Add character(241), Period(UTP,15): 20478.14375984392 Add character(242), Period(UTP,15): 20270.04180159642 Add character(243), Period(UTP,15): 20491.39689173736 Add character(244), Period(UTP,15): 20495.12051861063 Add character(245), Period(UTP,15): 20633.25851975021 Add character(246), Period(UTP,15): 20651.15261610794 Add character(247), Period(UTP,15): 20641.10675575852 Add character(248), Period(UTP,15): 20510.73238915004 Add character(249), Period(UTP,15): 20602.20660818 Add character(250), Period(UTP,15): 20574.33790354296 Add character(251), Period(UTP,15): 20605.16502256067 Add character(252), Period(UTP,15): 20484.48085649015 Add character(253), Period(UTP,15): 20515.4822018722 Add character(254), Period(UTP,15): 20582.00513061267 Add character(255), Period(UTP,15): 20625.65861183228 Add character(256), Period(UTP,15): 20566.47515704336 Add character(257), Period(UTP,15): 20557.55845122705 Add character(258), Period(UTP,15): 20544.49286444813 Add character(259), Period(UTP,15): 20547.49781177499 Add character(260), Period(UTP,15): 20485.8339366238 Add character(261), Period(UTP,15): 20277.07578107208 Add character(262), Period(UTP,15): 20449.16533824629 Add character(263), Period(UTP,15): 20690.893090034 Add character(264), Period(UTP,15): 20306.93164617548 Add character(265), Period(UTP,15): 20362.45901699815 Add character(266), Period(UTP,15): 20247.55426940569 Add character(267), Period(UTP,15): 20272.83185977558 Add character(268), Period(UTP,15): 20248.87564064841 Add character(269), Period(UTP,15): 20232.7374253827 Add character(270), Period(UTP,15): 20319.25219769031 Add character(271), Period(UTP,15): 20268.57255003993 Add character(272), Period(UTP,15): 20303.44864352755 Add character(273), Period(UTP,15): 20166.56757599678 Add character(274), Period(UTP,15): 20270.54545218727 Add character(275), Period(UTP,15): 20314.9721302446 Add character(276), Period(UTP,15): 20293.72518044205 Add character(277), Period(UTP,15): 20192.94246522591 Add character(278), Period(UTP,15): 20237.06638065855 Add character(279), Period(UTP,15): 20282.61833734133 Add character(280), Period(UTP,15): 20340.84471779862 Add character(281), Period(UTP,15): 20252.06092626028 Add character(282), Period(UTP,15): 20414.87599738971 Add character(283), Period(UTP,15): 20445.86931064614 Add character(284), Period(UTP,15): 20523.99813986326 Add character(285), Period(UTP,15): 20438.32854935619 Add character(286), Period(UTP,15): 20203.95504635729 Add character(287), Period(UTP,15): 20475.50762260629 Add character(288), Period(UTP,15): 20184.31286128898 Add character(289), Period(UTP,15): 20139.70397055613 Add character(290), Period(UTP,15): 20510.89165250119 Add character(291), Period(UTP,15): 20361.15477078453 Add character(292), Period(UTP,15): 20373.61428090286 Add character(293), Period(UTP,15): 20329.3085573994 Add character(294), Period(UTP,15): 20574.26741283479 Add character(295), Period(UTP,15): 20534.86013510671 Add character(296), Period(UTP,15): 20519.08979291848 Add character(297), Period(UTP,15): 20498.32985930475 Add character(298), Period(UTP,15): 20609.97747531015 Add character(299), Period(UTP,15): 20568.41787782125 Add character(300), Period(UTP,15): 20559.48856274302 Add character(301), Period(UTP,15): 20641.52532951452 Add character(302), Period(UTP,15): 20583.01251991607 Add character(303), Period(UTP,15): 20575.99913569506 Add character(304), Period(UTP,15): 20497.00046267448 Add character(305), Period(UTP,15): 20621.48201252583 Add character(306), Period(UTP,15): 20572.67665425897 Add character(307), Period(UTP,15): 20545.59971896065 Add character(308), Period(UTP,15): 20500.78934974644 Add character(309), Period(UTP,15): 20444.51021906448 Add character(310), Period(UTP,15): 20484.01320668307 Add character(311), Period(UTP,15): 20556.63693911386 Add character(312), Period(UTP,15): 20371.30359978671 Add character(313), Period(UTP,15): 20352.32762731343 Add character(314), Period(UTP,15): 20309.98937772952 Add character(315), Period(UTP,15): 20350.51198517271 Add character(316), Period(UTP,15): 20331.04629425816 Add character(317), Period(UTP,15): 20143.19323989052 Add character(318), Period(UTP,15): 20399.48157870697 Add character(319), Period(UTP,15): 20276.57857582928 Add character(320), Period(UTP,15): 20346.53373764503 Add character(321), Period(UTP,15): 20490.11914072892 Add character(322), Period(UTP,15): 20578.16234556816 Add character(323), Period(UTP,15): 20551.16632598003 Add character(324), Period(UTP,15): 20631.507468548 Add character(325), Period(UTP,15): 20615.5082765001 Add character(326), Period(UTP,15): 20652.33097496772 Add character(327), Period(UTP,15): 20613.35188702098 Add character(328), Period(UTP,15): 20664.306518234 Add character(329), Period(UTP,15): 20694.899177247 Add character(330), Period(UTP,15): 20637.94855450801 Add character(331), Period(UTP,15): 20634.8541989937 Add character(332), Period(UTP,15): 20750.55323189244 Add character(333), Period(UTP,15): 20509.90461852601 Add character(334), Period(UTP,15): 20550.58043091889 Add character(335), Period(UTP,15): 20630.98361295327 Add character(336), Period(UTP,15): 20300.18474349995 Add character(337), Period(UTP,15): 20561.77174753625 Add character(338), Period(UTP,15): 20509.39790851829 Add character(339), Period(UTP,15): 20508.13315884247 Add character(340), Period(UTP,15): 20605.74357548073 Add character(341), Period(UTP,15): 20503.60815278641 -------------------------------------------------- Combinations processed: 341/341 Measurements: - Summed: 6974084.821990641 - Average: 20451.8616480664 - Lowest: 20111.74933789884 (Add character(220), Period(UTP,15)) - Highest: 21057.68851181704 (Add character(200), Period(UTP,15))

Code: Select all: Add character(200), Period(UTP,15) SDEHERELITOODREAP ULINESNGHOLACONST IMEFORNOHIMSETTOA SSEHASARAROSEARCO IREDIEWEDINPINCAL ITIONTHISCUOMPOLL UPANDSOOTATNEREGE TISIDUESHAHAREATH STATINTHANDOFSIAA NDLETHEDELASHOFTH ETOFOURCENTOFGALI ANCEISFORETHECTAN CANONTHEDATANTSIN CEASFRPHOENTHATLS WASTHANDITHGETRAI NSINTHESHELLIFEST HESTSETHNARCHCLOT HERECSSARASPARIAN SENATHADINALLATIO FFICEHHAROMHEPROD L

by **smokie treats** » Mon Dec 05, 2016 7:34 pm

I agree. For what it is worth, my heatmap shows that deleting symbols in the area of the pivots would increase the count of period 30 repeats.

conversation.december.5.b.png

One idea would be to first explore the idea of misalignments without homophonic encoding. Just transpose plaintext messages, add or delete symbols in certain areas and with different configurations, and see just how unreadable the plaintext is when untransposed. Experiment a little and see just how many skips or nulls it would take to make an untransposed plaintext message unreadable.

As I said in the other thread, maybe the pivots are an intentionally planted clue. That would be very Zodiac like. Maybe he put the pivots in the message first before all of the other transposed plaintext. And he just transcribed around the pivots. I have a busy schedule this week, but would be interested in seeing if untransposed plaintext is readable using that scheme. I can play around with it maybe later this week or on the weekend.

by **smokie treats** » Mon Dec 05, 2016 8:01 pm

Jarlve, you might also want to check out my experiment with smokie38 where I tried to transcribe around column 9 to create period 29 repeats:

About the 5th post down, here: viewtopic.php?f=81&t=2617&start=1370

by **smokie treats** » Tue Dec 06, 2016 7:34 am

Step 1: Transpose plaintext. The inscription and transcription rectangles are both 17 x 20 to keep things really simple. I inscribed left right top bottom, lifted the plaintext from the inscription rectangle top bottom left right, and transcribed left right top bottom. Scroll to the right to see the transposed plaintext.

pivots as nulls.1.png

Step 2: Re-draft the message around the pivots. Scroll to the right to see the transposed plaintext written around the pivots.

pivots as nulls.2.png

Step 3. Untranspose as if the pivots were not there. On the far right is the untransposed message outlined in blue, which could not be solved. Scroll to the right to see.

pivots as nulls.3.png

Whether he did this or not, it is a good idea for a route cipher. The message sender and receiver could agree that certain positions in the message would be nulls, and the count and positions of the nulls could change with each subsequent message. At least one of the cryptography books of the era discussed using nulls to make solving the message very difficult. I will look for it.

EDIT:

I L I K E K I L * L H C T T H R I
E B E C A U S E Y Y H E C E I T I
H F U N I T I S L * E A H A N G E
A N K I L L I * I O A R K S O F F
I N T H E F O N M I L N B E S T P
S E M A N I S R G T A E T W H E N
G E R O U S A T R O O V E B O R N
T O K I L L S N H W U U D A L L T
V E S M E T H O I E N W D W I L L
L I N G E X P E M E I G E S I W I
E V E N B E T E M M R * M Y N A M
T I N G Y O U T R * I * I L L T R
I T H A G I R R E * S * P E O P L
R T O F I T I L R * M S S O M U C
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by **Jarlve** » Tue Dec 06, 2016 8:44 am

smokie treats wrote:I agree. For what it is worth, my heatmap shows that deleting symbols in the area of the pivots would increase the count of period 30 repeats.

I'm actually adding symbols - increasing the cipher length. Because I thought that for period 30 to shift to 29, some characters had to be missing. Here are two graphs, the x-axis is the first symbol added from position 1 to 341 and the y-axis is the second symbol added from position 1 to 342. The second graph is the same but here symbols are removed. The color intensity is the bigram score. The 340 was mirrored prior to any other operation and the last operation is period 30. So it compares adding or removing symbols and its effect on period 30 bigram repeats.

- Adding symbols is superior to removing symbols in boosting period 30 bigram repeats, though removing 2 symbols may play a small part in that.
- Both graphs show somewhat similar distributions, peaking around position x: 200, y: 200 (give or take) very close to the pivots.
- The highest bigram return of both graphs is "28 (Add character(210), Add character(215), Period(UTP,30))", very close to the positions with increased AZdecrypt scores.

Symbols added:

Code: Select all: Combinations processed: 116622/116622 Measurements: - Summed: 2110746 - Average: 18.09903791737408 - Lowest: 10 (Add character(151), Add character(272), Period(UTP,30)) - Highest: 28 (Add character(210), Add character(215), Period(UTP,30))

Symbols removed:

Code: Select all: Combinations processed: 115260/115260 Measurements: - Summed: 2050036 - Average: 17.78618774943606 - Lowest: 11 (Remove character(31), Remove character(110), Period(UTP,30)) - Highest: 25 (Remove character(1), Remove character(241), Period(UTP,30))

by **Jarlve** » Tue Dec 06, 2016 8:57 am

smokie treats wrote:As I said in the other thread, maybe the pivots are an intentionally planted clue. That would be very Zodiac like. Maybe he put the pivots in the message first before all of the other transposed plaintext. And he just transcribed around the pivots. I have a busy schedule this week, but would be interested in seeing if untransposed plaintext is readable using that scheme. I can play around with it maybe later this week or on the weekend.

Good idea but how does that explain the observation that the pivots are made up of period 29 repeats? It's doranchak who made that observation right?

by **smokie treats** » Tue Dec 06, 2016 9:00 am

I highly recommend reading The Department of the Army Technical Manual ( published 1955 ), pages 18 - 26 here:

https://www.nsa.gov/news-features/decla ... 078809.pdf

From page 22:

Nulls, when employed for the purpose of
making cryptanalysis more difficult, may also be inserted in specific positions
as prearranged, or they may be inserted at random if the system
permits.

by **smokie treats** » Tue Dec 06, 2016 9:01 am

Jarlve wrote:
smokie treats wrote:As I said in the other thread, maybe the pivots are an intentionally planted clue. That would be very Zodiac like. Maybe he put the pivots in the message first before all of the other transposed plaintext. And he just transcribed around the pivots. I have a busy schedule this week, but would be interested in seeing if untransposed plaintext is readable using that scheme. I can play around with it maybe later this week or on the weekend.

Good idea but how does that explain the observation that the pivots are made up of period 29 repeats? It's doranchak who made that observation right?

I believe that I made the observation. But you are right. If he put the pivots there first at period 29, it would have been quite a coincidence.

by **Jarlve** » Tue Dec 06, 2016 9:32 am

smokie treats wrote:Jarlve, you might also want to check out my experiment with smokie38 where I tried to transcribe around column 9 to create period 29 repeats:

About the 5th post down, here: viewtopic.php?f=81&t=2617&start=1370

I'm mindblown and need some time with this, it looks very promising. I applied your transposition to a plaintext and then mirrored it and a few things stood out, bigram peaks at period 15 and 31. It managed to shift the period from 30 to 31. Can you do it the other way around? Reading from your post it seems that you have not found strong evidence of a column like this in the 340 but could you see how it looks if you add columns from position 1 to 18 instead of removing? And also for rows?

Here's your transposition matrix with spaces added for easier visual reference. The middle column does not follow the transposition direction and seems to create a misalignment that causes period 2 repeats to shift.

Code: Select all: 252 234 216 198 180 162 144 126 270 108 90 72 54 36 18 323 305 287 269 251 233 215 197 179 161 288 143 125 107 89 71 53 35 17 322 304 286 268 250 232 214 196 306 178 160 142 124 106 88 70 52 34 16 321 303 285 267 249 231 324 213 195 177 159 141 123 105 87 69 51 33 15 320 302 284 266 325 248 230 212 194 176 158 140 122 104 86 68 50 32 14 319 301 326 283 265 247 229 211 193 175 157 139 121 103 85 67 49 31 13 327 318 300 282 264 246 228 210 192 174 156 138 120 102 84 66 48 328 30 12 317 299 281 263 245 227 209 191 173 155 137 119 101 83 329 65 47 29 11 316 298 280 262 244 226 208 190 172 154 136 118 330 100 82 64 46 28 10 315 297 279 261 243 225 207 189 171 153 331 135 117 99 81 63 45 27 9 314 296 278 260 242 224 206 188 332 170 152 134 116 98 80 62 44 26 8 313 295 277 259 241 223 333 205 187 169 151 133 115 97 79 61 43 25 7 312 294 276 258 334 240 222 204 186 168 150 132 114 96 78 60 42 24 6 311 293 335 275 257 239 221 203 185 167 149 131 113 95 77 59 41 23 5 336 310 292 274 256 238 220 202 184 166 148 130 112 94 76 58 40 337 22 4 309 291 273 255 237 219 201 183 165 147 129 111 93 75 338 57 39 21 3 308 290 272 254 236 218 200 182 164 146 128 110 339 92 74 56 38 20 2 307 289 271 253 235 217 199 181 163 145 340 127 109 91 73 55 37 19 1

by **Largo** » Tue Dec 06, 2016 1:49 pm

Wow, that is an interesting find! I wish I had more time to look closer all those new ideas. Unfortunately I am still working on a command line version of a solver which costs a lot of my spare time.

smokie treats wrote:At least one of the cryptography books of the era discussed using nulls to make solving the message very difficult. I will look for it.

I think it was this book:
Codes and Ciphers - A History of Cryptography from Alexander D'Agapeyeff

Zodiackillersite.com

Evidence of transposition misalignment in the 340

Evidence of transposition misalignment in the 340

Re: Evidence of transposition misalignment in the 340

Re: Evidence of transposition misalignment in the 340

Re: Evidence of transposition misalignment in the 340

Re: Evidence of transposition misalignment in the 340

Re: Evidence of transposition misalignment in the 340

Re: Evidence of transposition misalignment in the 340

Re: Evidence of transposition misalignment in the 340

Re: Evidence of transposition misalignment in the 340

Re: Evidence of transposition misalignment in the 340

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