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Classical Ciphers #10 Mystery Cache

Hidden : 8/4/2024
Difficulty:
4.5 out of 5
Terrain:
2 out of 5

Size: Size:   micro (micro)

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Geocache Description:


This final Classical Cipher task contains two ciphertexts.

The longer one is encrypted with triple-DES in electronic code book mode.It uses a 128-bit EDE key.The RSA public key cryptosystem has been used to encipher the triple-DES key; this forms the shorter ciphertext. 

A shorter message:

F1A4A49BF3589C179C664AAB39942B830965D9F7CC150D004680684982798A5CC3305CD71 F08FD25DB7309

The public exponent is 3247744314306457150247360105787744938443642973757036440140158835550994219878 7392056535628395806452913649 in decimal and the public modulus is the following 104-digit decimal integer:

82677.47631.03359.36967.54168.06750.25737.88369.58452.63553.00593.19851.28739.04121. 29375.01943.00637.16479.50578.73933.5611

A longer message:

T+DY2FMCBTweYLb6piApSgshc4m8Vb7HhvdgaI5i5tDCYp+0HSfic9VzFW+Kv8bbnMvt Catn7XFVlitcaDLPSZGqrFcICdqeO/VdNivKkrm6T6q2WL8082+gmRPGCNjbqdiXwYzr V8ahXo/R+bXkuOBtAQLQUFMOeGZrQDAalzY3ntho7itmzqRFGEsgP264DuFITRYwACk I5322CaUFdYNRmA/2CHCs1DrSIxdWifQ8KhLHlWx8H23TRe1x6zOp/fTYvIRCG8I54E voFt6tmHPd9/g4jyWRL0v+n9DUFmi6StGyZMwA8Kbfwzyia5GU3jnv6txeBv6Ozlh9+OGF SyqZx99A1fodlyPo/d0QWzYaEQleXLyZ5lEEiwHn3CsywQZFrkbik7D1xu9JFmuv6g==

Your task is to decipher the longer message and discover the final coordinates.

How you will do this is up to you, but it will almost certainly be much, much easier to break the RSA ciphertext by factoring the public modulus than by any other approach.

A small suprise is waiting You at the second part of this task, still this additional  challenge is quite easy.

Good luck!

 

 

Additional Hints (Decrypt)

Sbe zlfgrel: zbqr RPO.

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)