Working

  • Key Generation: Each user generates a pair of keys for encrypting and decrypting messages. One of the keys is made public, stored in a register or accessible file, while the other key remains private. Users collect public keys from others.
  • Encryption: The sender encrypts the message using the public key of reciever. This transforms the message into an unreadable format (ciphertext). When Alice wants to send a confidential message to Bob, Alice encrypts it using Bob’s public key.
  • Decryption: The recipient uses their private key to decrypt the ciphertext back to the original message (plaintext). Upon receiving the message, Bob decrypts it using his private key. Only Bob can decrypt the message because only he has his private key.

In this setup, all participants possess public keys, while private keys are locally generated and never distributed. As long as a user’s private key remains secure and undisclosed, incoming communications are safe. The system can change its private key at any time and publish the corresponding public key to replace the old one.

Asymmetric Key Cryptography

In asymmetric Key cryptography, there are two keys, also known as key pairs: a public key and a private key. The public key is publicly distributed. Anyone can use this public key to encrypt messages, but only the recipient, who holds the corresponding private key, can decrypt those messages. “Public-key cryptography” is another representation used to refer to Asymmetric Key cryptography.

This cryptographic system addresses two major challenges faced in traditional (symmetric) cryptography: key distribution and digital signatures. Asymmetric algorithms use one key for encrypting data and another, related key for decrypting it. These algorithms possess an important feature:

  • It’s impossible to figure out the decryption key just by knowing the encryption key and the cryptographic algorithm.
  • Either of the two keys can be used for encryption, while the other is used for decryption.

Asymmetric-key cryptography uses mathematical functions to transform plaintext and ciphertext represented as numbers for encryption and decryption, while symmetric-key cryptography involves symbol substitution or permutation. In asymmetric-key cryptography, plaintext and ciphertext are treated as integers, requiring encoding and decoding processes for encryption and decryption.

General idea of asymmetric-key cryptosystem

Similar Reads

Characteristics of Asymmetric Key Cryptography

Security Responsibility...

Key Components

Plaintext: This refers to the original, readable message or data that is inputted into the encryption algorithm.Encryption algorithm: This algorithm transforms the plaintext in various ways.Public and private keys: A pair of keys chosen so that if one is used for encryption, the other is used for decryption. The specific transformations performed depend on whether the public or private key is provided as input.Ciphertext: The encrypted, scrambled message produced as output. It can be find using both the plaintext and the key, but uf there are different keys then it will give different ciphertexts for the same message or plaintext.Decryption algorithm: This algorithm takes the ciphertext and the corresponding key and retrieves the original plaintext....

Concept of the Trapdoor One-Way Function

Asymmetric-key cryptography lies in the concept of the trapdoor one-way function.Imagine a function as a simple rule we follow in math. It takes something from one group (let’s call it “Set A”) and matches it with something in another group (we’ll call this one “Set B”). It’s like connecting dots from one set to another, as can be seen below....

Primary Terminologies

Asymmetric Keys: Two keys, one public and one private, that are used together for different tasks like locking and unlocking information or verifying signatures.Public Key Certificate: A digital document signed by a trusted authority’s private key that confirms a person’s identity and links it to their public key. This document shows that the person controls the private key associated with the public key.Public Key (Asymmetric) Cryptographic Algorithm: A way to encode information that uses two keys, one public and one private. It’s designed so that figuring out the private key from the public one is extremely hard.Public Key Infrastructure (PKI): It is the collection of policies, procedures, server platforms, software and workstations that is used for the objective of administering certificates and public-private key pairs, it also has the ability to publish, maintain, and revoke public key certificates....

Working

Key Generation: Each user generates a pair of keys for encrypting and decrypting messages. One of the keys is made public, stored in a register or accessible file, while the other key remains private. Users collect public keys from others.Encryption: The sender encrypts the message using the public key of reciever. This transforms the message into an unreadable format (ciphertext). When Alice wants to send a confidential message to Bob, Alice encrypts it using Bob’s public key.Decryption: The recipient uses their private key to decrypt the ciphertext back to the original message (plaintext). Upon receiving the message, Bob decrypts it using his private key. Only Bob can decrypt the message because only he has his private key....

Algorithms

There are several algorithms used in asymmetric key cryptography, some of them are as follows:...

RSA (Rivest–Shamir–Adleman)

It is commonly utilized to ensure secure communication and for creating digital signatures. It Uses large integer prime numbers for key generation. It Encrypts data with the public key and decrypts with the private key. It is Slower than some other algorithms but offers strong security....

Elliptic Curve Cryptography (ECC)

It gives equal protection to RSA with shorter key sizes. The concept behind this is based on the mathematical properties of elliptic curves. It is Faster and more efficient for resource-constrained devices. It Gaining popularity in mobile security and the Internet of Things (IoT)....

Diffie-Hellman Key Exchange

It doesn’t directly encrypt data but establishes a shared secret key for secure communication. Two parties can generate a common secret key without ever exchanging it directly. It often used in conjunction with other algorithms like RSA for key exchange....

Digital Signature Standard (DSS)

It Uses a variant of the ElGamal encryption scheme. It is primarily for digital signatures, ensuring message authenticity and integrity. The sender signs a message with their private key, receiver verifies with the sender’s public key. It is often used for secure emails and software signing....

Applications

Encryption / Decryption: Messages are encrypted using the recipient’s public key, ensuring only the intended recipient can decrypt it.Digital Signature: Senders authenticate messages by signing them with their private key, verifying their identity and ensuring message integrity.Key Exchange: Parties cooperate to establish a shared session key securely, facilitating encrypted communication. This can involve the private key(s) of one or both parties....

Public-Key Cryptanalysis

Cryptanalysis is the study of studying cryptographic systems to understand their vulnerabilities or weaknesses, often with the goal of breaking or bypassing their security measures....

Frequently Asked Questions on Asymmetric Key Cryptography – FAQs

What is the main problem with public key cryptography?...