aboutsummaryrefslogtreecommitdiff
path: root/final
diff options
context:
space:
mode:
authorHolden Rohrer <holden.rohrer@gmail.com>2019-11-11 23:52:06 -0500
committerHolden Rohrer <holden.rohrer@gmail.com>2019-11-11 23:52:06 -0500
commitfd2de4e488e01fd84d877ceabbd9f0f984d93174 (patch)
treeb26aa724b07960d3675c21fbfeb36e9b17fe4374 /final
parentdb732bd93ffc688e16a0d9e0eb2e321315fd4621 (diff)
added rsa-code
Diffstat (limited to 'final')
-rw-r--r--final/final.pdfbin111456 -> 135463 bytes
-rw-r--r--final/rsa-code.tex20
-rw-r--r--final/rsa.tex2
3 files changed, 22 insertions, 0 deletions
diff --git a/final/final.pdf b/final/final.pdf
index 889c90f..f77fda6 100644
--- a/final/final.pdf
+++ b/final/final.pdf
Binary files differ
diff --git a/final/rsa-code.tex b/final/rsa-code.tex
new file mode 100644
index 0000000..64a0a47
--- /dev/null
+++ b/final/rsa-code.tex
@@ -0,0 +1,20 @@
+The code for RSA encryption and decryption can be found in this folder at {\tt rsa-encrypt.py} and {\tt rsa-decrypt.py}.
+{\tt rsa-encrypt} relies completely on user input, allowing the user to input a semiprime of arbitrary size (larger is more secure) and a value $e$ which must be coprime with one less both divisors of the semiprime ($p-1$ and $q-1$).
+However, other than basic input and type conversion (string to list of integers to list of integers, for example), the ``heavy-lifting'' it does is very limited.
+{\tt\par
+def decrypt\_block(blk):\par
+\hskip .25in return blk**d \% n\par
+}
+defines the majority of it, specifically the application of Euler's theorem.
+
+
+Similarly, decryption relies on the basic principle of Euler's theorem to develop the decryption value $d$ (and the fact that that value can exist).
+While efficiency was not absolutely necessary, it could be improved by using a speedier (Euclidean algorithm-based) decision algorithm for $d$ than simply checking all values.
+This was neglected to focus on the real interesting component of RSA.
+Once that value $d$ is available, the decryption can be known easily
+In this case,
+{\tt\par
+def encrypt\_block(blk):\par
+\hskip .25in return (blk ** e) \% n\par
+}
+defines the heavy lifting of ``undoing'' the RSA encryption, and shows how RSA shines in its simplicity---in stark contrast with its convoluted comrades.
diff --git a/final/rsa.tex b/final/rsa.tex
index 837a00e..9fc1bec 100644
--- a/final/rsa.tex
+++ b/final/rsa.tex
@@ -9,3 +9,5 @@ There are several optimizations (such as applying the Chinese Remainder Theorem)
\sinclude Methodology:rsa-method
+\sinclude The Code:rsa-code
+