optimise

static/js/modules/crypto/paillier.js

@@ -42,7 +42,7 @@ class Ciphertext {
             let gm = (1n + key.n * plainText) % key.n2;
 
             // Compute g^m h^r.
-            this.cipherText = (gm * mod_exp(key.hn, r, key.n2)) % key.n2;
+            this.cipherText = (gm * key.hn_exp(r)) % key.n2;
 
             // Force into range.
             while (this.cipherText < 0n) {
@@ -50,7 +50,7 @@ class Ciphertext {
             }
 
             this.mode = JURIK;
-            this.r = mod_exp(key.h, r, key.n);
+            this.r = key.h_exp(r);
         } else {
             // Use the standard form
             // Compute g^m by binomial theorem.
@@ -282,6 +282,44 @@ export class PaillierPubKey {
 
         this.n2 = this.n ** 2n;
         this.hn = mod_exp(this.h, this.n, this.n2);
+
+        this._h_cache = [];
+        this._hn_cache = [];
+
+        for (let i = 0n; i < BigInt(KEY_SIZE); i++) {
+            this._h_cache.push(mod_exp(this.h, 2n ** i, this.n));
+            this._hn_cache.push(mod_exp(this.h, 2n ** i, this.n2));
+        }
+    }
+
+    h_exp(b) {
+        let ctr = 1n;
+        let i = 0;
+        while (b !== 0n) {
+            if (b % 2n === 1n) {
+                ctr *= this._h_cache[i];
+                ctr %= this.n;
+            }
+            i++;
+            b >>= 1n;
+        }
+
+        return ctr;
+    }
+
+    hn_exp(b) {
+        let ctr = 1n;
+        let i = 0;
+        while (b !== 0n) {
+            if (b % 2n === 1n) {
+                ctr *= this._hn_cache[i];
+                ctr %= this.n2;
+            }
+            i++;
+            b >>= 1n;
+        }
+
+        return ctr;
     }
 
     encrypt(m, r) {

static/js/modules/crypto/random_primes.js

@@ -19,6 +19,8 @@ export function cryptoRandom(bits) {
     return intRepr;
 }
 
+window.cryptoRandom = cryptoRandom;
+
 /**
  * Generate random integer of length N bits.
  *

whitepaper/Dissertation.bib

@@ -256,7 +256,7 @@ doi={10.1109/SP.2014.36}}
 
 @misc{msgpack,
     author = {msgpack},
-    title = {MessagePack: Spec},
+    title = {{MessagePack}: Spec},
     year = {2021},
     publisher = {GitHub},
     journal = {GitHub repository},
@@ -330,10 +330,10 @@ doi={10.1109/SP.2014.36}}
 }
 
 @misc{
-	projectgemini, 
+	projectgemini,
 	title={{Project Gemini}: Speculative specification},
-	url={gemini://gemini.circumlunar.space/docs/specification.gmi}, 
-	journal={Project gemini}, 
+	url={gemini://gemini.circumlunar.space/docs/specification.gmi},
+	journal={Project gemini},
 	author={Solderpunk},
 	year={2022}
 }