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Scheme with perfect secrecy

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Reference no: EM132438101

Alice wants to securely send Bob an arbitrary number M from the set {0, 1,...,N-1} for some positive integer N. She wants to have a scheme with perfect secrecy. She heard of the One Time Pad (OTP), but OTP is for bit strings, not numbers. She decides to use the following scheme. The key space is {0, 1,...,N - 1}. A ciphertext C for M is computed as (M + K) mod N and decryption performs (C - K) mod N. Prove that this scheme is perfectly secure.

Reference no: EM132438101

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