Implement challenge 33 Diffie-Hellman

Cargo.toml

@@ -8,3 +8,4 @@ edition = "2021"
 [dependencies]
 openssl = ">= 0.10.38"
 rand = ">= 0.8.5"
+num-bigint = { version = ">= 0.4", features = ["rand"] }

data/33.txt

@@ -0,0 +1,8 @@
+ffffffffffffffffc90fdaa22168c234c4c6628b80dc1cd129024
+e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd
+3a431b302b0a6df25f14374fe1356d6d51c245e485b576625e7ec
+6f44c42e9a637ed6b0bff5cb6f406b7edee386bfb5a899fa5ae9f
+24117c4b1fe649286651ece45b3dc2007cb8a163bf0598da48361
+c55d39a69163fa8fd24cf5f83655d23dca3ad961c62f356208552
+bb9ed529077096966d670c354e4abc9804f1746c08ca237327fff
+fffffffffffff

src/bytes.rs

@@ -1,15 +1,10 @@
-#![allow(dead_code)]
 use rand::Rng;
 use std::fmt::Write;
 
-#[derive(PartialEq, PartialOrd, Debug)]
+#[derive(PartialEq, Eq, PartialOrd, Debug)]
 pub struct Bytes(pub Vec<u8>);
 
 impl Bytes {
-    pub fn empty() -> Bytes {
-        Bytes(vec![])
-    }
-
     pub fn from_utf8(s: &str) -> Bytes {
         Bytes(s.as_bytes().to_vec())
     }
@@ -62,16 +57,6 @@ impl Bytes {
         r
     }
 
-    pub fn is_ascii(&self) -> bool {
-        let Bytes(v) = self;
-        for &c in v.iter() {
-            if !(32..=127).contains(&c) {
-                return false;
-            }
-        }
-        true
-    }
-
     pub fn ascii_score(&self) -> u32 {
         let Bytes(v) = self;
         let mut r = 0;

src/main.rs

@@ -14,6 +14,7 @@ mod md4;
 mod mt19937;
 mod mtcipher;
 mod parser;
+mod rsa;
 mod set1;
 mod set2;
 mod set3;
@@ -59,4 +60,5 @@ fn main() {
         set4::challenge32();
     }
     set5::challenge33();
+    set5::challenge34();
 }

src/rsa.rs

@@ -0,0 +1,12 @@
+pub fn expmod(base: u32, exp: u32, m: u32) -> u32 {
+    if exp == 0 {
+        return 1;
+    }
+
+    if exp % 2 == 0 {
+        let s = expmod(base, exp / 2, m);
+        (s * s) % m
+    } else {
+        (expmod(base, exp - 1, m) * base) % m
+    }
+}

src/set3.rs

@@ -186,7 +186,7 @@ mod challenge19 {
 
             for i in 0..ciphers_len {
                 for j in i..ciphers_len {
-                    if target_bytes[i] == None || target_bytes[j] == None {
+                    if target_bytes[i].is_none() || target_bytes[j].is_none() {
                         continue;
                     }
                     let xored = target_bytes[i].unwrap() ^ target_bytes[j].unwrap();

src/set5.rs

@@ -1,3 +1,67 @@
+use crate::rsa;
+use num_bigint::{BigUint, RandBigInt, ToBigUint};
+use rand::Rng;
+use std::fs;
+
 pub fn challenge33() {
-    println!("[xxxx] Challenge 33: now we talking!");
+    #![allow(non_snake_case)]
+
+    fn simple_diffie_hellman() {
+        let mut rng = rand::thread_rng();
+
+        // Set a variable "p" to 37 and "g" to 5.
+        let p: u32 = 37;
+        let g: u32 = 5;
+
+        // Generate "a", a random number mod 37. Now generate "A", which is "g" raised to the "a"
+        // power mode 37 --- A = (g**a) % p.
+        let a: u32 = rng.gen::<u32>() % p;
+        let A = rsa::expmod(g, a, p);
+
+        // Do the same for "b" and "B".
+        let b: u32 = rng.gen::<u32>() % p;
+        let B = rsa::expmod(g, b, p);
+
+        // "A" and "B" are public keys. Generate a session key with them; set "s" to "B" raised to
+        // the "a" power mod 37 --- s = (B**a) % p.
+        let s = rsa::expmod(B, a, p);
+
+        // Do the same with A**b, check that you come up with the same "s".
+        let s_ = rsa::expmod(A, b, p);
+
+        assert_eq!(s, s_, "crypto is broken");
+        // To turn "s" into a key, you can just hash it to create 128 bits of key material (or
+        // SHA256 it to create a key for encrypting and a key for a MAC).
+    }
+
+    fn serious_diffie_hellman() {
+        let mut rng = rand::thread_rng();
+
+        let s = fs::read_to_string("data/33.txt").expect("run from git root dir");
+        let b: Vec<u8> = s
+            .chars()
+            .filter(|c| *c != '\n')
+            .map(|c| c.to_digit(16).unwrap().try_into().unwrap())
+            .collect();
+        let p = BigUint::from_radix_be(&b, 16).unwrap();
+        let g = 2_u8.to_biguint().unwrap();
+
+        let a = rng.gen_biguint_below(&p);
+        let A = g.modpow(&a, &p);
+
+        let b = rng.gen_biguint_below(&p);
+        let B = g.modpow(&b, &p);
+
+        let s = B.modpow(&a, &p);
+        let s_ = A.modpow(&b, &p);
+        assert_eq!(s, s_, "crypto is broken");
+    }
+
+    simple_diffie_hellman();
+    serious_diffie_hellman();
+    println!("[okay] Challenge 33: implemented Diffie-Hellman");
+}
+
+pub fn challenge34() {
+    println!("[xxxx] Challenge 34: tbd");
 }