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GroMARK Mystery Cache

This cache has been archived.

The Rat: With no finds this year and only two last year, this cache is being archived. The real fun of this one was at the time I published it without the hints, so it is now probably more tedious than fun anyway. I was surprised at how well this hide survived. It was firmly attached and hard to see or remove. I may reprise the technique on another hide.

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Hidden : 12/11/2004
Difficulty:
3.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:

The cache is not at the posted coordinates, but is within two miles.

To find this cache you must solve this difficult cipher. But there's a twist. This cipher is intended to be solved by community effort right here on the page. I invite everyone to post his or her ideas or progress in a note. Such things as useful web links, methods of solution, elimination of certain approaches, and so on should all be shared. However, please don't post:

1) any portion of the true coordinates
2) any portion of the plaintext of the message (although I might post as a hint later)
3) the primer or any of its digits (or enough information about the other digits to give it away)
4) any information about the final cache location that would allow someone to find it without solving the cipher

I will have to delete spoilers of this sort. I will add hints to the cache page every few days until someone either solves it or shows enough progress that I think it is time to let them finish and claim FTF. The hints will be on the page, not in the logs, so you won't be notified just by being on the watchlist. You'll have to check the page from time to time.

A GroMARK cipher is a hobbyist cipher. The name comes from Gronsfeld with Mixed Alphabet and Running Key. It uses what is called a pseudorandom key generated by mod 10 chain addition. That sounds complicated, but it really isn't. You start with a key number, called a primer. Let's use 4835 as an example. You keep generating more numbers at the end by adding together the digits in pairs, saving only the final digit if the sum is 10 or more. In this case since 4+8=12, you discard the 1 and append 2 to the end, so the key is now 48352. Since 8+3=11 then next digit is a 1, and you have 483521. You continue this until you have one digit for every letter of the message you are encrypting. Next you create a mixed alphabet and place it directly below a regular alphabet. For each letter to be enciphered you find it in the regular (plaintext) alphabet, count to the right the number of characters shown by the key number, and take the letter in the mixed (ciphertext) alphabet below. That's the next ciphertext letter. To decrypt a message you create the same cipher alphabet and pseudorandom key (because you know the primer) and just reverse it. You find the ciphertext letter in the mixed alphabet, count the right number of letters to the left and the letter above is the plaintext letter. That's all there is to it. Here's a simple example.

ABCDEFGHIJKLMNOPQRSTUVWXYZ - Plain alphabet
ZQEKRCAIWPXVBHODLTSNGFMJUY - Mixed (Ciphertext) alphabet Primer 4835

MEETMEATNOONTOMORROW - plaintext message
48352187395024526978
LBIUOCWZLJNHFSTLJZFR - ciphertext



The ciphertext is typically written in 5-letter blocks:
LBIUO CWZLJ NHFST LJZFR

Notice that when encrypting the second R you can't go 9 spaces to the right, so you keep counting past the Z back to the beginning. In this case, 9 spaces to the right of R is A, and under the A is a Z, so that is the letter used to substitute. Similarly, 8 spaces to the right of the W is E, and under the E is R.

So how do you break one of these ciphers? When you are given a portion of plaintext (a crib) and the primer, but not the mixed alphabet, you recreate the numerical key string by simple addition and try to place the crib spot by spot. If the crib is not in the right place, you will usually get a conflict, such as two different letters in the same place in the mixed alphabet. Whenever you don't get a conflict you try a test decryption using the letters you have. If t looks good, you keep it and try to fill in more letters in the mixed alphabet. It is difficult but pretty straightforward. Here is the secret message:

QEHHK FYKPZ FYJFV MDKXH DIQTE NAXAF HHRYN CIFSO HHRNU XHVPT NGYBF
TFZTG CAKGB UKTHS OZXJO TCQDT OZEDJ TPSVG RAFTD DHBMV KEODY SOYQK
GXDXI RAYDZ IKOHI ZRGOS WWJRX LIZZH ARYDH XBYLQ UJZHC SXLSW NBZNQ W

In order to log a find you must not only find the cache but also e-mail me the key to the mixed alphabet.

The way keys are mixed is explained on the ACA page linked above. See the example there using the word ENIGMA, although the columns may be taken off either in alphabetical order as shown, or simply left to right.

Additional Hints (Decrypt)

[Hint 1: The numerical key ends with 22 (i.e., the numbers that key the final QW). Hint 2: The primer is 50687. Hint 3: The mixed alphabet is not random; it has a key. See additional requirement added above in order to log a find. Hint 4: the plaintext begins "be careful" and ends "bringapen." Hint 5: the key is a single word mixed in the method described in the ACA links provided.]

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)