Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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# Verifying a Signature In this scenario, Bob receives a message M = "Launch a missile." from Alice, along with her signature S. Bob needs to verify whether the signature is indeed from Alice using her public key (e, n). ### Given Data - **Message (M):** Launch a missile. - **Signature (S):** ``` 643D6F34902D9C7EC90CB0B2BCA36C47FA37165C0005CAB026C0542CBDD6802F ``` - **Public Key:** - **e:** 010001 (hexadecimal, equivalent to 65537 in decimal) - **n:** ``` AE1CD4DC432798D933779FBD46C6E1247F0CF1233595113AA51B450F18116115 ``` ### Verification Task Bob should verify if the signature corresponds to Alice's public key. ### Corrupted Signature Scenario Suppose the signature is corrupted such that the last byte changes from `2F` to `3F`, introducing a single bit of change. Bob needs to repeat the verification process with this corrupted signature and describe its impact on the verification process. ### Explanation To verify the original and corrupted signatures, Bob will: 1. **Decrypt the signature** using Alice’s public key (e, n). 2. **Compare the decrypted value** with the hash of the message M. 3. The Single bit change from `2F` to `3F` will likely result in a different decrypted value, causing the verification to fail. This exercise demonstrates the sensitivity of digital signatures to even minimal corruption, highlighting their importance in ensuring message integrity and authenticity.
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Transcribed Image Text:# Verifying a Signature In this scenario, Bob receives a message M = "Launch a missile." from Alice, along with her signature S. Bob needs to verify whether the signature is indeed from Alice using her public key (e, n). ### Given Data - **Message (M):** Launch a missile. - **Signature (S):** ``` 643D6F34902D9C7EC90CB0B2BCA36C47FA37165C0005CAB026C0542CBDD6802F ``` - **Public Key:** - **e:** 010001 (hexadecimal, equivalent to 65537 in decimal) - **n:** ``` AE1CD4DC432798D933779FBD46C6E1247F0CF1233595113AA51B450F18116115 ``` ### Verification Task Bob should verify if the signature corresponds to Alice's public key. ### Corrupted Signature Scenario Suppose the signature is corrupted such that the last byte changes from `2F` to `3F`, introducing a single bit of change. Bob needs to repeat the verification process with this corrupted signature and describe its impact on the verification process. ### Explanation To verify the original and corrupted signatures, Bob will: 1. **Decrypt the signature** using Alice’s public key (e, n). 2. **Compare the decrypted value** with the hash of the message M. 3. The Single bit change from `2F` to `3F` will likely result in a different decrypted value, causing the verification to fail. This exercise demonstrates the sensitivity of digital signatures to even minimal corruption, highlighting their importance in ensuring message integrity and authenticity.
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