From 91845596775396914e410514ae084d5e0e0da9de Mon Sep 17 00:00:00 2001 From: Holden Rohrer Date: Mon, 11 Nov 2019 20:23:50 -0500 Subject: added rsa --- final/rsa.tex | 8 ++++++++ 1 file changed, 8 insertions(+) create mode 100644 final/rsa.tex (limited to 'final/rsa.tex') diff --git a/final/rsa.tex b/final/rsa.tex new file mode 100644 index 0000000..0b2962e --- /dev/null +++ b/final/rsa.tex @@ -0,0 +1,8 @@ +In determining correctness, a major concern is determining that the message hasn't been tampered with by an intelligent intermediate. +Public key cryptography tries to answer this problem by providing proof of authorship and, as an extension of ``normal'' encryption, preventing interception. +RSA is one such algorithm. +It works by providing a set of public keys to all parties, and corresponding secret private keys. + +One of the simpler algorithms, it applies the NP-hard nature of factorizing a semiprime, Euler’s theorem, and the Euclidean Algorithm to encrypt communication. +Because it is simple to devise, it has been included as a sample, in the form of a Python script which encrypts and decrypts messages, given a small RSA key (compared to those used in real applications). +There are several optimizations (such as applying the Chinese Remainder Theorem) which can be used, but none have been applied to maintain the code's simplicity. -- cgit