Q.2 Write short on Principles of public key cryptosystem.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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**Question 2: Write short on Principles of Public Key Cryptosystem.**

In a public key cryptosystem, each user has a pair of keys: a public key and a private key. The public key is used for encryption, while the private key is used for decryption. Key principles include:

1. **Key Pair Generation**: The system generates a pair of keys that are mathematically related. The private key is kept secret, and the public key is distributed openly.

2. **Encryption and Decryption**: Data encrypted with a recipient’s public key can only be decrypted with their corresponding private key, ensuring confidentiality.

3. **Authentication**: Public keys can also be used for verifying the authenticity of a digital signature, which is created using the signer's private key.

4. **Non-repudiation**: A sender cannot deny sending a message if it is signed with their private key since it can be verified with the corresponding public key.

5. **Key Distribution**: Public keys can be freely shared over unsecured channels, simplifying key distribution compared to symmetric cryptosystems.

Public key cryptosystems are fundamental in securing digital communications, enabling secure data encryption, digital signatures, and secure key exchanges.
Transcribed Image Text:**Question 2: Write short on Principles of Public Key Cryptosystem.** In a public key cryptosystem, each user has a pair of keys: a public key and a private key. The public key is used for encryption, while the private key is used for decryption. Key principles include: 1. **Key Pair Generation**: The system generates a pair of keys that are mathematically related. The private key is kept secret, and the public key is distributed openly. 2. **Encryption and Decryption**: Data encrypted with a recipient’s public key can only be decrypted with their corresponding private key, ensuring confidentiality. 3. **Authentication**: Public keys can also be used for verifying the authenticity of a digital signature, which is created using the signer's private key. 4. **Non-repudiation**: A sender cannot deny sending a message if it is signed with their private key since it can be verified with the corresponding public key. 5. **Key Distribution**: Public keys can be freely shared over unsecured channels, simplifying key distribution compared to symmetric cryptosystems. Public key cryptosystems are fundamental in securing digital communications, enabling secure data encryption, digital signatures, and secure key exchanges.
Expert Solution
Step 1

The concept of public key cryptography came into existence in order to solve the two most difficult problems associated with symmetric encryption:

  1. Key distribution under symmetric key encryption requires either the two users to possess a shared key that someone has distributed to them or the use of a key distribution center. 
  2. Digital signatures.

Asymmetric or public key algorithms depend on one key for encryption and a different but related key for decryption.

Public key algorithms have the following important characteristic:

  • It is computationally impossible to calculate the decryption key from only the provided knowledge of the cryptographic algorithm and the encryption key.   
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