Do you know what the difference between K1, K2, and random alphabets are? I can't find a good definition online.
Also, for patristocrats, do you know what method is best to use? I know there are five listed on the wiki for monoalphabetic ciphers, but sometimes they don't always work when the spacings are messed up. For example, as has been said on this thread before, letter frequencies don't always work because the text can be so short.
1. K1 is when there is a keyword in the plaintext and K2 is when there is a keyword in the ciphertext. I believe random alphabets are, well, random alphabets - no particular order. Definitely check out the link UTF posted before this.
2. I don't know of any "superb, easy, ultra quick" method for patristocrats because I don't think one exists. Just keep guessing and keep an open mind because some words may be way different than the words you are thinking they are. For example, you could think seeing "TH" must correspond to "THE" when it actually corresponded to the end of "FIFTH."