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The Vernam cipher is robust to small deviations from randomness
running-key cipher Vernam cipher Shannon entropy unconditional secrecy
2013/4/18
The Vernam cipher (or one-time pad) has played an important rule in cryptography because it is a perfect secrecy system. For example, if an English text (presented in binary system) $X_1 X_2 ... $ is ...
Local limit theorem for large deviations and statistical box-tests
random allocations large deviations box-test power
2011/7/25
Let $n$ particles be independently allocated into $N$ boxes, where the $l$-th box appears with the probability $a_l$.
Local limit theorem for large deviations and statistical box-tests
secret-key cryptography / hash functions
2012/3/28
Let $n$ particles be independently allocated into $N$ boxes, where the $l$-th box appears with the probability $a_l$. Let $\mu_r$ be the number of boxes with exactly $r$ particles and $\mu=[ \mu_{r_1}...