1. While I understand how to send a message through an elliptic curve, I am not comprehending how our message can be a point x on our elliptic curve. Wouldn't the message then just be some (x,y)? How is that a meaningful message at all? I can understand key exchanges and signatures well enough, but the whole "Send a message as a point x" does not seem useful, even though it is said to be a lot easier to use this method with smaller primes.
2. After our last hw, and what is said in this chapter, it is really cool to see how we can use smaller primes for an elliptic curve equation! I think it is a pretty good step forward, because I'm sure a lot of the primes we are using are so crazily big when they don't need to be. It's been really fun this semester to see how cryptography works, and to be able to experience it first hand!
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