The following ciphertext was encrypted using the Paillier cryptosystem with public 1158 622 2 797 549 1082 909 osystem and decrypt the ciphertext.

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Public key is 35,17) please no computer answers I neeed to see and understand how it is done 

**Title: Exploring the Paillier Cryptosystem**

The following ciphertext was encrypted using the Paillier cryptosystem with public key:

\[ 
1158, \ 622, \ 2, \ 797, \ 549, \ 1082, \ 909 
\]

**Assignment:** Utilize the Paillier cryptosystem and decrypt the ciphertext.

**Explanation:** 
The Paillier cryptosystem is a homomorphic encryption system that allows computations to be carried out on ciphertexts, generating an encrypted result which, when decrypted, matches the result of operations performed on the plaintexts. This feature makes it particularly useful for secure data analysis where privacy is a concern.

The numbers provided represent an encrypted message using this system, and the task is to decrypt the ciphertext to reveal the original message.
Transcribed Image Text:**Title: Exploring the Paillier Cryptosystem** The following ciphertext was encrypted using the Paillier cryptosystem with public key: \[ 1158, \ 622, \ 2, \ 797, \ 549, \ 1082, \ 909 \] **Assignment:** Utilize the Paillier cryptosystem and decrypt the ciphertext. **Explanation:** The Paillier cryptosystem is a homomorphic encryption system that allows computations to be carried out on ciphertexts, generating an encrypted result which, when decrypted, matches the result of operations performed on the plaintexts. This feature makes it particularly useful for secure data analysis where privacy is a concern. The numbers provided represent an encrypted message using this system, and the task is to decrypt the ciphertext to reveal the original message.
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