4. (EAV-security) Let II = (Gen, Enc, Dec) be a secret key EAV-secure encryption scheme, with message space M = {0, 1}". We design the scheme II' = (Gen', Enc', Dec') as follows: • Gen' def Gen • Enc' (k, m): - t $ {0, 1}" - c← Enc(k,t) - - return (c, tm) • Dec' (k, ct) : - parse ct as (c, y) - a + Dec(k, c) return y Θα Prove that II' is EAV-secure.
4. (EAV-security) Let II = (Gen, Enc, Dec) be a secret key EAV-secure encryption scheme, with message space M = {0, 1}". We design the scheme II' = (Gen', Enc', Dec') as follows: • Gen' def Gen • Enc' (k, m): - t $ {0, 1}" - c← Enc(k,t) - - return (c, tm) • Dec' (k, ct) : - parse ct as (c, y) - a + Dec(k, c) return y Θα Prove that II' is EAV-secure.
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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.
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Transcribed Image Text:4. (EAV-security) Let II = (Gen, Enc, Dec) be a secret key EAV-secure encryption
scheme, with message space M = {0, 1}". We design the scheme
II' = (Gen', Enc', Dec') as follows:
• Gen' def Gen
• Enc' (k, m):
- t
$
{0, 1}"
- c← Enc(k,t)
-
- return (c, tm)
• Dec' (k, ct) :
-
parse ct as (c, y)
- a + Dec(k, c)
return y Θα
Prove that II' is EAV-secure.
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