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.
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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that if this cryptosystem has perfect secrecy, then every ciphertext is used with
equal probability and every plaintext is used with equal probability.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7da3d53-31d2-48e7-b787-228d47eca939%2F83751348-b8bb-486e-8d43-e305703e5a40%2F0lfkb4_processed.png&w=3840&q=75)
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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