I am having trouble with this problem:
Suppose that you would like to use the RSA system to send the secret message $P$ to a colleague across an insecure line of communication. Assume that you have made public your personal RSA modulus $n_1$, and encryption exponent $a_1$, while keeping your decryption exponent $b_1$ secret, and that your colleague has made public his or her personal RSA modulus $n_2$ and encryption exponent $a_2$, while keeping his decryption exponent $b_2$, secret. Assume also that $n_1>n_2$.
- Explain how your message could fail.
I know that $n_1>n_2$ has something to do with the message failing but I am not sure why.
After this, I am wondering how I could devise a method for signing a message that could not fail.
Thank you for your help!