EDGF encrypted with HGJI is now the same as ABCD encrypted with DEFG. In this example, that means the distance between characters of the encrypted messages is the same as the distance between the original messages.
From my limited knowledge of the matter, that alone doesn't give you the cypher - you'll need to know additional information about the messages to get the cypher (statistics of words, conditional probabilities of letter sequences etc.). But without the one reuse of your cypher, you couldn't apply these techniques.
From my limited knowledge of the matter, that alone doesn't give you the cypher - you'll need to know additional information about the messages to get the cypher (statistics of words, conditional probabilities of letter sequences etc.). But without the one reuse of your cypher, you couldn't apply these techniques.