SCXI-1325 | NI | Data validation module

Description

SCXI-1325 | NI | Data validation module

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The key pair for choosing the RSA cryptosystem is mainly determined by E, D, and M. Because the selection of key pairs cannot be arbitrarily generated, and the more bits of P and Q, the longer it takes to break the cryptographic system, making the system more secure. But the more digits, the slower the speed. The SCXI-1325 module allows users to choose the number of prime digits themselves.

For the convenience of users, this module does not require users to directly input the values of two large prime numbers P and Q, but instead inputs their neighbors to approximate any number, and then the computer finds them near the neighboring values based on a specific algorithm. After obtaining two large prime numbers, we also obtain the public key M=P × Q, thus obtaining the Euler number of M φ (M) =(P-1) x (Q-1).

Greater than P, Q and combined with φ (M) There are countless coprime numbers, so the SCXI-1325 system still uses user input of neighboring values to search for an integer E that satisfies the condition near it (where the Euclidean algorithm is used to determine whether E is related to it) φ (M) After obtaining the encryption key E, the final step in searching for the key is to find the decryption key D, which can be obtained according to the equation ED=1mo d（ φ (M) Obtain.

After the above three steps, the computer-aided generation of key pairs is completed. Subsequently, the computer will prompt whether to update the newly generated parameter values to the system default parameter values. Users have two options, update and not update.

Mailbox：sauldcsplc@gmail.com |SCXI-1325

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