Let (P, C, K, E, D) be a cryptosystem such that #K = #P = #C. Show that if this cryptosystem has perfect secrecy, then every ciphertext is used with equal probability and every plaintext is used with equal probability.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Let (P, C, K, E, D) be a cryptosystem such that #K = #P = #C. Show
that if this cryptosystem has perfect secrecy, then every ciphertext is used with
equal probability and every plaintext is used with equal probability.
Transcribed Image Text:Let (P, C, K, E, D) be a cryptosystem such that #K = #P = #C. Show that if this cryptosystem has perfect secrecy, then every ciphertext is used with equal probability and every plaintext is used with equal probability.
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