Decrypt the message without computing bob''s private key

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Reference no: EM131329230

We investigate the weaknesses that arise in Elgamal encryption if a public key of small order is used. We look at the following example. Assume Bob uses the group Z∗ 29 with the primitive element α = 2. His public key is β = 28.

1. What is the order of the public key?

2. Which masking keys kM are possible?

3. Alice encrypts a text message. Every character is encoded according to the simple rule a → 0,..., z → 25. There are three additional ciphertext symbols: ¨a → 26, ¨o → 27, ¨u → 28. She transmits the following 11 ciphertexts (kE,y)

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Decrypt the message without computing Bob's private key. Just look at the ciphertext and use the fact that there are only very few masking keys and a bit of guesswork.

 

Reference no: EM131329230

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