Where I will be able to found papers to read the state-art of the use that Markov chain in cryptanalysis. I found this
Canteaut, A. and Chabaud, F. (1998). A new algorithm for finding minimum-weight words in a linear code: Application to mceliece ́ cryptosystem and to narrow-sense s bch codes of length 511. IEEE Transactions on Information Theory, 44. Canteaut, A. and Sendrier, N. (1998). Cryptanalysis of the original mceliece cryptosys- tem. Lecture Notes in Computer Science, 1514:187–199.
Decrypting classical cipher text using Markov chain monte carlo.
but I need more please