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Open-ended cryptanalysis of the DES cipher motivated by answering the question: 

Suppose one has the output (32 bits), and the subkey (48 bits) for the DES Feistel function.
Can one reconstruct uniquely the 32 bits of input? 

des_feistel_backwards.py demonstrates that the answer depends on which output is known and is probabalistic. We found that many outputs have colliding inputs which cause the same output. Can this be exploited? 

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Is the DES Feistel function a one-way function?

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