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How can I show that AES-GCM is secure under the adaptive chosen cipher-text game?

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How can I show that AES-GCM is secure under the adaptive chosen ciphertext game? This is assuming the GHASH Mac tag can't be forged faster than brute force?

Marc Ilunga avatar
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One strategy is to prove GCM to be Authenticated Encryption secure. Then , CCA is also given. Such analysis exist for reference. Not sure about the GHASH assumption you state but a starting point is to consider GCM as encrypt then MAC.
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