The coded message R was computed as M^E mod N. To decode, you use the same procedure but with D instead of E. Is your problem finding an efficient way to do the computation?ribbon said:N= pq = 35, our E = 5 --> M^E is congruent to R (mod35) where R is the remainder.
The decoder (D=5) is being given to me, so this shouldn't be that hard, but how can I use it to help me find M, the sent message?
RSA encryption is a widely used encryption algorithm for securing data and communications. It uses a public key and a private key to encrypt and decrypt messages, making it a crucial tool for protecting sensitive information. Verifying the decoder in RSA ensures that the encrypted data can be correctly decrypted and prevents unauthorized access to the information.
The most common way to verify the decoder in an RSA system is by solving for the value of "M" in the equation C = M^e (mod n), where C is the ciphertext, e is the encryption key, and n is the product of two large prime numbers. If the decrypted message matches the original message, then the decoder is working correctly.
The private key is essential for verifying the decoder in RSA as it is used to decrypt the ciphertext and obtain the original message. Without the private key, the encrypted data cannot be decrypted, and the verification process cannot be completed.
No, only the intended recipient with the correct private key can verify the decoder in RSA. This ensures that the encrypted data can only be accessed by authorized parties and prevents unauthorized decryption.
Yes, there are alternative methods for verifying the decoder in RSA, such as using digital signatures or comparing the decrypted message to a known hash value. However, solving for M is the most widely used and accepted method for verifying the decoder in RSA.