| Subject: In Depth Treasure Magazine Grid Analysis |
Author:
Adam
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Date Posted: Wed, Aug 13 2003, 4:04:06
Hi everybody,
Anybody who wants to skip ahead and see what the
"Treasure Magazine" Analysis results are may skip
ahead to the section below.
As most regular readers of our last forum know, I've
been working on a rather complicated Cipher program.
I used some of the tools I created to analyse John's
Cipher Scheme and have finally (with Stephen's Help)
managed to implement a full suite of analysis tools for
the "Treasure" Magazine grid functions. I'm almost ready
for an official release of the software (Still have to
implement a help system) but I wanted to share my results
on the Treasure grids with everyone.
Note: Before I begin, I want to point out that I am
very "pro-grid" in a general sense and this information
only pertains to Treasure Magazine's _particular_
implementation_ of a grid formula.
Here's a rundown of the decoding scheme that Treasure
Claims gives a readable plaintext encoding of Cipher #1.
1. Place all the cipher entries in a series of 3*3 grids.
2. Create a possible list of additional numbers by using
numbers found in Cipher 2.
3. Extend these possible numbers by including all
reorganized combinations (i.e. 123 could be 321 or 213).
4. Extend these possible numbers further by adding,
subtracting, multiplying and dividing the numbers by 3
(the grid length).
5. Add one of these "extra" numbers to each grid entry.
6. Decode by applying each grid position to the DOI,
which is labled _by letter_.
Whew. Of course, many are wary, myself included, of the
fact that "Treasure" only included the translation for the
last ten or so grid positions. The reader would in fact
have to work out all the possible grid values then figure
out which led to the accurate translation. While the
article does provide some intriguing insight, it contains
many of these unfortunate "hoax indicators." I do not
believe the article was a hoax, necessarily, but I will
save that for another time.
THE ANALYSIS
The full program output report is rather detailed,
consisting of a hundred or so pages, so I'll skip the
specifics and show the final results. I'll be happy to
furnish the detailed report (or a copy of the program...once
I finish it off) to anyone interested.
The computer calculated all the possible values for each
Cipher number using the additional numbers, then applied
those numbers to a copy of the DOI numbered by letter.
Generating the full report takes several seconds on a 2ghz
computer, so it is no doubt that anyone could have done this
by hand.
Even WITHOUT using and +3, -3, /3, *3 operations on the
additional numbers, here's the potential candidates for
letters for the first few cipher numbers:
71: Total character choices without '+3' numerical operations
{A,C,D,E,F,H,I,L,M,N,O,P,R,S,T,U,W,}
194: Total character choices without '+3' numerical operations
{A,C,D,E,F,G,H,I,J,K,L,M,N,O,P,R,S,T,U,W,Y,}
38: Total character choices without '+3' numerical operations
{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,R,S,T,U,W,Y,}
1701: Total character choices without '+3' numerical operations
{A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,R,S,T,U,W,Y,}
Adding the additional operations gives the FULL alphabet
(excluding x and z) as a possible translation for EVERY
single integer.
CONCLUSION
Well, ladies and genteleman, I would like to say that we
can now, without a doubt, exclude the "treasure" decoding
scheme, as given, as completely bogus. The Treasure scheme
allows the decoder to make up any decoding her or she chooses.
HOWEVER, this only excludes using the decoding scheme
using the rules as given. As we all know, choosing numbers
willy-nilly isn't an acceptable decoding pattern.
The article does point out that an underlying pattern
could have been use to choose the additional numbers from
Cipher 2's translation IF a real pattern exists, then the
decoding scheme could generate an accurate 1-1 translation
without this fudge factor.
Here are the numbers that "Treasure" says one should use.
Feel free to find a pattern of how one should choose the
numbers to add...assuming there is one... ;)
Adam
Integers Added to Cipher using Base 'Treasure Magazine List'
= {114,141,411,179,197,719,791,917,971,1014,1041,1079,1097,
1104,1140,1238,1283,1288,1328,1382,1401,1410,1709,1790,1823,
1828,1832,1882,1907,1970,2138,2183,2188,2318,2381,2813,2818,
2831,2881,3128,3182,3218,3812,3821,4011,4101,4110,1819,1820,
1821,209,229,778,4592,4,6,3,1,}
Integers Added to Cipher using Base 'Treasure Magazine List
+ 3' = {117,144,414,182,200,722,794,920,974,1017,1044,1082,
1100,1107,1143,1241,1286,1291,1331,1385,1404,1413,1712,1793,
1826,1831,1835,1885,1910,1973,2141,2186,2191,2321,2384,2816,
2821,2834,2884,3131,3185,3221,3815,3824,4014,4104,4113,1822,
1823,1824,212,232,781,4595,7,9,6,4,}
Integers Added to Cipher using Base 'Treasure Magazine List
- 3' = {111,138,408,176,194,716,788,914,968,1011,1038,1076,
1094,1101,1137,1235,1280,1285,1325,1379,1398,1407,1706,1787,
1820,1825,1829,1879,1904,1967,2135,2180,2185,2315,2378,2810,
2815,2828,2878,3125,3179,3215,3809,3818,4008,4098,4107,1816,
1817,1818,206,226,775,4589,1,3,0,0,}
Integers Added to Cipher using Base 'Treasure Magazine List
* 3' = {342,423,1233,537,591,2157,2373,2751,2913,3042,3123,
3237,3291,3312,3420,3714,3849,3864,3984,4146,4203,4230,5127,
5370,5469,5484,5496,5646,5721,5910,6414,6549,6564,6954,7143,
8439,8454,8493,8643,9384,9546,9654,11436,11463,12033,12303,
12330,5457,5460,5463,627,687,2334,13776,12,18,9,3,}
Integers Added to Cipher using Base 'Treasure Magazine List
/ 3' = {38,47,137,0,0,0,0,0,0,338,347,0,0,368,380,0,0,0,0,0,
467,470,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1337,
1367,1370,0,0,607,0,0,0,0,0,2,1,0,}
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