Knapsack Algorithm | Cryptography and N

TL;DR

The Knapsack Algorithm is a public key cryptography algorithm that solves the NP completeness problem.

Transcript

hello friends welcome to the next public key cryptography algorithm after the rsa which is known as the knapsack algorithm guys the basic concept of this knapsack algorithm depends upon the np completeness problem this np completeness problem you might have studied in the subject of advanced data structures where in the np complete problem deals wi... Read More

Key Insights

• 🤩 Symmetric key cryptography uses the same key for encryption and decryption, while asymmetric key cryptography uses different keys.
• 🤩 The concerns with asymmetric key cryptography include fortitude, practicality, and applicability.
• 🤩 The Knapsack Algorithm is based on the subset sum problem and is a public key cryptography algorithm.
• 🤩 The Knapsack Algorithm uses a super increasing knapsack as the private key and a non-super increasing knapsack as the public key.
• ❓ The encryption process with the Knapsack Algorithm involves encoding the plaintext message as a solution to the knapsack problem.
• 🤩 To decrypt the ciphertext, the inverse of the public key's multiplier modulo the modulus is used.

Questions & Answers

Q: What is the difference between symmetric and asymmetric key cryptography?

Symmetric key cryptography uses the same key for encryption and decryption, while asymmetric key cryptography uses different keys for these processes. The encryption key is often called the public key, and the decryption key is called the private key.

Q: What are the concerns with asymmetric public key cryptography?

The concerns include fortitude, practicality, and applicability. Many algorithms are insecure, impractical, or have large key sizes or ciphertext sizes. Only a few algorithms are both secure and practical.

Q: What is the Knapsack Algorithm based on?

The Knapsack Algorithm is based on the subset sum problem, which is a special case of the NP completeness problem. It involves finding a subset of numbers from a given list that add up to a target sum.

Q: How does the encryption process work with the Knapsack Algorithm?

The Knapsack Algorithm uses a super increasing knapsack as the private key and a non-super increasing knapsack as the public key. The plaintext message is encoded as a solution to the knapsack problem, reducing the ciphertext to a target sum.

Summary & Key Takeaways

• The video introduces the concepts of symmetric and asymmetric key cryptography.

• It explains the concerns and limitations of asymmetric public key cryptography.

• The Knapsack Algorithm, based on the subset sum problem, is introduced as a solution to these concerns and limitations.