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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1006.0. "cypher jig-saw puzzle" by DIODE::CROWELL (Jon Crowell) Wed Jan 04 1989 21:41

    My sister has a jig-saw puzzle from one of those mail order gift places.
    
    It is some kind of cypher of a message. It says the cypher was used
    long ago to save a would-be presedent.  The numbers corrospond to
    the english alphabet and something about a square?
    
    Does anyone have any clues on how to decode this. Here is a sample
    of the code text.
    

                372,824,824,234,894
                707,769,153,153,862
                824,530,234,318,703
    824,824,864,372,621,333,703,234
    197,824,894,530,944,704,509,769
    703,707,824,509,372,894,511,197
    509,824,530,234,509,511,944,703
    511,769,234,530,944,769,509,234
    ...
    ...7 more lines this long,
    ...2 more lines (2 shorter on the right than the above)
    ...1 last line  (3 shorter on the right than the above)

                            *There is a picture of a mouse in the clearing
                             on the lower left*
    
    ??Any clues on what this code is??
    Thanks, Jon
        
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1006.1DWOVAX::YOUNGSharing is what Digital does best.Thu Jan 05 1989 01:198
    Cyphers (if this truly is one) are usually broken by statistical
    analysis.  If you include the whole text the we can take a pretty
    good crack at it.
    
    Oh yeah, are the commas (",") in the puzzle or did you add them
    here?
    
    --  Barry
1006.2complete textDIODE::CROWELLJon CrowellThu Jan 05 1989 01:4322
 
    Complete list, the commas are shown on the puzzle.    

                372,824,824,234,894
                707,769,153,153,862
                824,530,234,318,703
    824,824,864,372,621,333,703,234
    197,824,894,530,944,704,509,769
    703,707,824,509,372,894,511,197
    509,824,530,234,509,511,944,703
    511,769,234,530,944,769,509,234
    372,333,511,153,511,769,318,703
    197,611,865,611,824,621,318,824
    894,769,824,703,197,824,333,216
    704,707,865,509,530,894,769,333
    509,953,707,153,511,333,944,530
    216,511,703,707,234,769,372,707
    611,611,953,333,611,530,769,703
    197,234,824,707,511,153
    511,824,894,824,611,865
    223,511,333,611,944          <--picture of mouse here
    
1006.3make sure you have correct cipher before solving!HANNAH::OSMANtype hannah::hogan$:[osman]eric.vt240Thu Jan 05 1989 16:2113
Caution:

	Before spending too much time on this cipher, keep in mind
	that it is probably in error in at least one place.

	One possible way to remove errors would be for the submitter
	to type it in a *second* time without reference to the first
	copy.  Then use a computer to compare the two type-ins.

	By the way, since the submitter used the word "presedent", there
	may indeed be an error in the numbers.

/Eric
1006.4SMURF::DIKEThu Jan 05 1989 17:526
    It's possible that the numbers represent letters or words from some
    existing document.  523 is the 523'rd word or letter, for example.
    This is a fairly common way of encrypting a message, and has been
    done commerically as a contest in the not-too-distant past.
    				Jeff
    
1006.5you could code on the document itselfHANNAH::OSMANtype hannah::hogan$:[osman]eric.vt240Thu Jan 05 1989 19:1611
    Or, perhaps the rank of the letter in the document ITSELF.
    
    For example, to code this very reply so far, I would write:
    
    	1,2,3,4,5,2,7,8,4
    
    I did this by saying the "o" is in position 1, the "r" is 2, the space
    is 3, the p is 4, the e is 5, the r is the same as what's at 2, the h
    is 7, the a is 8, the p is the same as what's in 4 etc.
    
    /Eric
1006.6SMURF::DIKEFri Jan 06 1989 12:136
    If you assume that the decryption is meant to be easy for those
    people who know the key, then encrypting on the document itself
    is locking the key in the box it opens.  The only way to decrypt
    the document is to know what the document says.  Also, there will
    be an arbitrary number of possible decodings of this cipher.
    				Jeff               
1006.7exitNIZIAK::YARBROUGHFri Jan 06 1989 13:0013
    Another possible interpretation: each group of three digits describes
    a line or page in a document and the letter or word; e.g. 372 =
    line 3, 72nd letter; or page 3, 72nd word. From the repetitions
    It appears the writer used the same symbols over and over (he might
    have made it a lot harder) so I would guess that a simple substitution
    was used (perhaps 824 = 'o' or 'e', so the message might begin with
    'Look' or 'Keep') ... 
    
    If this message has historical significance it is probably discussed
    in David Kahn's "The Codebreakers" which might be found in your local
    public library.
    
    Lynn Yarbrough 
1006.8Substitution.RDVAX::COOPERTopher CooperFri Jan 06 1989 14:5322
RE: .6 (Jeff)
    
    > If you assume that the decryption is meant to be easy for those
    > people who know the key ...
    
    Although generally a good assumption for "real" ciphers there really
    is no reason to assume that here -- this is a challenge cipher after
    all, and the only intended recipients are those who "crack" it.
    
    > Also, there will be an arbitrary number of possible decodings
    > of this cipher
    
    Statistically very unlikely.  What is described is a simple
    substitution cipher and they are unambiguously decodable (assuming
    English text) after relatively few characters (about 50 I believe).
    
    Its probably worth reminding people that the ","'s may simply be
    conveniences for reading or may be red hearings to deliberately
    mislead.  There is a very good chance that they have no significance
    to the cipher.
    
    						Topher
1006.94GL::GILBERTOwnership ObligatesFri Jan 06 1989 20:056
    Notice that there are only 24 distinct 3-digit numbers in the message.
    
    824 occurs 15 times
    511 occurs 10 times
    769 occurs  9 times
    ...
1006.10They're at it againWOODRO::BOTTOMSThu Jan 26 1989 18:5313
    This is one of a series of puzzles put out by this company, usually
    at Christmas. (Is it gold printing on black background)? I have
    one
    from an earlier date.  The solutions to this series puzzles (if
    it is) is found in a historical document.  The one I have is an
    offset word count into the Constitution.  Cracking this one is not
    a mathematical problem but one perhaps best suited for a librarian.
    
                        -jb
    
    (I am a member of the American Cryptogram Association, pass member
    of the New York Cypher Society (D.Kahn director) and past crypto
    security officer -- advisor to S.Vietnamese on cryptosecurity).