![]() I decided to construct my own cryptex using laser cut parts, by that I mean only laser cut parts. Key exchange: RSA algorithm can be used for secure key exchange, which means that two parties can exchange a secret key without actually sending the key over the network.This project has been made on a laser cutter that I used at FabLab Innovation ()Įver since seeing the movie - the Da Vinci Code - I have been fascinated with the cryptex, a small scale combination vault, that can only be unlocked by entering the right word on the scroll, allowing the user to pull out a tube which contains some sort of secret.The public key is used to encrypt the data, while the private key is used to decrypt the data. Public-key cryptography: RSA algorithm is a public-key cryptography algorithm, which means that it uses two different keys for encryption and decryption.Security: RSA algorithm is considered to be very secure and is widely used for secure data transmission. ![]() This can be done efficiently using modular exponentiation algorithms, such as binary exponentiation. Once we have the integer representation of the message, we compute the ciphertext c as c = m^e (mod n). This can be done using a reversible encoding scheme, such as ASCII or UTF-8. To encrypt a message m, we need to convert it to an integer between 0 and n-1. Our public key is (n, e) and our private key is (n, d). This can be done using the extended Euclidean algorithm. To compute the private key exponent d, we need to find an integer d such that d*e = 1 (mod phi(n)). This value of e will be the public key exponent. Next, we need to choose an integer e such that 1 < e < phi(n) and gcd(e, phi(n)) = 1, where phi(n) = (p-1)*(q-1) is Euler’s totient function. Once we have the two primes, we can compute their product n = p*q, which will be the modulus for our RSA system. We can generate the primes using any primality testing algorithm, such as the Miller-Rabin test. These primes should be of roughly equal length and their product should be much larger than the message we want to encrypt. To start, we need to generate two large prime numbers, p and q. We will implement a simple version of RSA using primitive roots. Implementation of RSA Cryptosystem using Primitive Roots in C++ But till now it seems to be an infeasible task. RSA keys can be typically 1024 or 2048 bits long, but experts believe that 1024-bit keys could be broken in the near future. Therefore encryption strength totally lies on the key size and if we double or triple the key size, the strength of encryption increases exponentially. So if somebody can factorize the large number, the private key is compromised. ![]() And private key is also derived from the same two prime numbers. The public key consists of two numbers where one number is a multiplication of two large prime numbers. The idea! The idea of RSA is based on the fact that it is difficult to factorize a large integer. Since this is asymmetric, nobody else except the browser can decrypt the data even if a third party has the public key of the browser. The client receives this data and decrypts it.The server encrypts the data using the client’s public key and sends the encrypted data.A client (for example browser) sends its public key to the server and requests some data.Software Engineering Interview Questions.Top 10 System Design Interview Questions and Answers.Top 20 Puzzles Commonly Asked During SDE Interviews.Commonly Asked Data Structure Interview Questions.Top 10 algorithms in Interview Questions.Top 20 Dynamic Programming Interview Questions.Top 20 Hashing Technique based Interview Questions.Top 50 Dynamic Programming (DP) Problems.Top 20 Greedy Algorithms Interview Questions.Top 100 DSA Interview Questions Topic-wise.
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