csnotes/312/notes/rsa.md

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# Procedure
Example using 3 values:
* p = 3
* q = 17
* e = 15
* m = 3
There are a few components which must be calculated before we can safely determine a cipher text:
`n = p * q` : note that `p` and `q` values should be primes in this case.
`O(n) = (p - 1) * (q - 1)` is used later to verify that we have a value `d` which is the inverse of `e`. _We call this the quotient function_.
## Encryption
To produce a cipher text `C` we take `m` and raise it to the power of `e`(from earlier) then take the modulor of it by `n`:
```
C = (m^e) % n
```
`m` is the desired message to encrypt.
The public and private keys are using the above cipher text functions whose unknown parameters are passed as follows
`PublicKey(e, n)`
`PrivateKey(d, n)`
## Decryption
The reverse of this is the following:
```
M = (c^d) % n
```