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Test with smaller numbers for now

Nathan Fallet 4 years ago
parent
commit
4e4cd83269
1 changed files with 111 additions and 77 deletions
  1. 111 77
      Tests/CryptoSwiftTests/RSATests.swift

+ 111 - 77
Tests/CryptoSwiftTests/RSATests.swift

@@ -19,88 +19,121 @@ import XCTest
 
 final class RSATests: XCTestCase {
   
-  let n: Array<UInt8> = [
-    0xba, 0xd4, 0x7a, 0x84, 0xc1, 0x78, 0x2e, 0x4d, 0xbd, 0xd9, 0x13, 0xf2, 0xa2, 0x61, 0xfc, 0x8b,
-    0x65, 0x83, 0x84, 0x12, 0xc6, 0xe4, 0x5a, 0x20, 0x68, 0xed, 0x6d, 0x7f, 0x16, 0xe9, 0xcd, 0xf4,
-    0x46, 0x2b, 0x39, 0x11, 0x95, 0x63, 0xca, 0xfb, 0x74, 0xb9, 0xcb, 0xf2, 0x5c, 0xfd, 0x54, 0x4b,
-    0xda, 0xe2, 0x3b, 0xff, 0x0e, 0xbe, 0x7f, 0x64, 0x41, 0x04, 0x2b, 0x7e, 0x10, 0x9b, 0x9a, 0x8a,
-    0xfa, 0xa0, 0x56, 0x82, 0x1e, 0xf8, 0xef, 0xaa, 0xb2, 0x19, 0xd2, 0x1d, 0x67, 0x63, 0x48, 0x47,
-    0x85, 0x62, 0x2d, 0x91, 0x8d, 0x39, 0x5a, 0x2a, 0x31, 0xf2, 0xec, 0xe8, 0x38, 0x5a, 0x81, 0x31,
-    0xe5, 0xff, 0x14, 0x33, 0x14, 0xa8, 0x2e, 0x21, 0xaf, 0xd7, 0x13, 0xba, 0xe8, 0x17, 0xcc, 0x0e,
-    0xe3, 0x51, 0x4d, 0x48, 0x39, 0x00, 0x7c, 0xcb, 0x55, 0xd6, 0x84, 0x09, 0xc9, 0x7a, 0x18, 0xab,
-    0x62, 0xfa, 0x6f, 0x9f, 0x89, 0xb3, 0xf9, 0x4a, 0x27, 0x77, 0xc4, 0x7d, 0x61, 0x36, 0x77, 0x5a,
-    0x56, 0xa9, 0xa0, 0x12, 0x7f, 0x68, 0x24, 0x70, 0xbe, 0xf8, 0x31, 0xfb, 0xec, 0x4b, 0xcd, 0x7b,
-    0x50, 0x95, 0xa7, 0x82, 0x3f, 0xd7, 0x07, 0x45, 0xd3, 0x7d, 0x1b, 0xf7, 0x2b, 0x63, 0xc4, 0xb1,
-    0xb4, 0xa3, 0xd0, 0x58, 0x1e, 0x74, 0xbf, 0x9a, 0xde, 0x93, 0xcc, 0x46, 0x14, 0x86, 0x17, 0x55,
-    0x39, 0x31, 0xa7, 0x9d, 0x92, 0xe9, 0xe4, 0x88, 0xef, 0x47, 0x22, 0x3e, 0xe6, 0xf6, 0xc0, 0x61,
-    0x88, 0x4b, 0x13, 0xc9, 0x06, 0x5b, 0x59, 0x11, 0x39, 0xde, 0x13, 0xc1, 0xea, 0x29, 0x27, 0x49,
-    0x1e, 0xd0, 0x0f, 0xb7, 0x93, 0xcd, 0x68, 0xf4, 0x63, 0xf5, 0xf6, 0x4b, 0xaa, 0x53, 0x91, 0x6b,
-    0x46, 0xc8, 0x18, 0xab, 0x99, 0x70, 0x65, 0x57, 0xa1, 0xc2, 0xd5, 0x0d, 0x23, 0x25, 0x77, 0xd1
-  ]
-  let e: Array<UInt8> = [
-    0x01, 0x00, 0x01
-  ]
-  let d: Array<UInt8> = [
-    0x40, 0xd6, 0x0f, 0x24, 0xb6, 0x1d, 0x76, 0x78, 0x3d, 0x3b, 0xb1, 0xdc, 0x00, 0xb5, 0x5f, 0x96,
-    0xa2, 0xa6, 0x86, 0xf5, 0x9b, 0x37, 0x50, 0xfd, 0xb1, 0x5c, 0x40, 0x25, 0x1c, 0x37, 0x0c, 0x65,
-    0xca, 0xda, 0x22, 0x26, 0x73, 0x81, 0x1b, 0xc6, 0xb3, 0x05, 0xed, 0x7c, 0x90, 0xff, 0xcb, 0x3a,
-    0xbd, 0xdd, 0xc8, 0x33, 0x66, 0x12, 0xff, 0x13, 0xb4, 0x2a, 0x75, 0xcb, 0x7c, 0x88, 0xfb, 0x93,
-    0x62, 0x91, 0xb5, 0x23, 0xd8, 0x0a, 0xcc, 0xe5, 0xa0, 0x84, 0x2c, 0x72, 0x4e, 0xd8, 0x5a, 0x13,
-    0x93, 0xfa, 0xf3, 0xd4, 0x70, 0xbd, 0xa8, 0x08, 0x3f, 0xa8, 0x4d, 0xc5, 0xf3, 0x14, 0x99, 0x84,
-    0x4f, 0x0c, 0x7c, 0x1e, 0x93, 0xfb, 0x1f, 0x73, 0x4a, 0x5a, 0x29, 0xfb, 0x31, 0xa3, 0x5c, 0x8a,
-    0x08, 0x22, 0x45, 0x5f, 0x1c, 0x85, 0x0a, 0x49, 0xe8, 0x62, 0x97, 0x14, 0xec, 0x6a, 0x26, 0x57,
-    0xef, 0xe7, 0x5e, 0xc1, 0xca, 0x6e, 0x62, 0xf9, 0xa3, 0x75, 0x6c, 0x9b, 0x20, 0xb4, 0x85, 0x5b,
-    0xdc, 0x9a, 0x3a, 0xb5, 0x8c, 0x43, 0xd8, 0xaf, 0x85, 0xb8, 0x37, 0xa7, 0xfd, 0x15, 0xaa, 0x11,
-    0x49, 0xc1, 0x19, 0xcf, 0xe9, 0x60, 0xc0, 0x5a, 0x9d, 0x4c, 0xea, 0x69, 0xc9, 0xfb, 0x6a, 0x89,
-    0x71, 0x45, 0x67, 0x48, 0x82, 0xbf, 0x57, 0x24, 0x1d, 0x77, 0xc0, 0x54, 0xdc, 0x4c, 0x94, 0xe8,
-    0x34, 0x9d, 0x37, 0x62, 0x96, 0x13, 0x7e, 0xb4, 0x21, 0x68, 0x61, 0x59, 0xcb, 0x87, 0x8d, 0x15,
-    0xd1, 0x71, 0xed, 0xa8, 0x69, 0x28, 0x34, 0xaf, 0xc8, 0x71, 0x98, 0x8f, 0x20, 0x3f, 0xc8, 0x22,
-    0xc5, 0xdc, 0xee, 0x7f, 0x6c, 0x48, 0xdf, 0x66, 0x3e, 0xa3, 0xdc, 0x75, 0x5e, 0x7d, 0xc0, 0x6a,
-    0xeb, 0xd4, 0x1d, 0x05, 0xf1, 0xca, 0x28, 0x91, 0xe2, 0x67, 0x97, 0x83, 0x24, 0x4d, 0x06, 0x8f
-  ]
-  let EM: Array<UInt8> = [
-    0x70, 0x99, 0x2c, 0x9d, 0x95, 0xa4, 0x90, 0x8d, 0x2a, 0x94, 0xb3, 0xab, 0x9f, 0xa1, 0xcd, 0x64,
-    0x3f, 0x12, 0x0e, 0x32, 0x6f, 0x9d, 0x78, 0x08, 0xaf, 0x50, 0xca, 0xc4, 0x2c, 0x4b, 0x0b, 0x4e,
-    0xeb, 0x7f, 0x0d, 0x4d, 0xf3, 0x03, 0xa5, 0x68, 0xfb, 0xfb, 0x82, 0xb0, 0xf5, 0x83, 0x00, 0xd2,
-    0x53, 0x57, 0x64, 0x57, 0x21, 0xbb, 0x71, 0x86, 0x1c, 0xaf, 0x81, 0xb2, 0x7a, 0x56, 0x08, 0x2c,
-    0x80, 0xa1, 0x46, 0x49, 0x9f, 0xb4, 0xea, 0xb5, 0xbd, 0xe4, 0x49, 0x3f, 0x5d, 0x00, 0xf1, 0xa4,
-    0x37, 0xbb, 0xc3, 0x60, 0xdf, 0xcd, 0x80, 0x56, 0xfe, 0x6b, 0xe1, 0x0e, 0x60, 0x8a, 0xdb, 0x30,
-    0xb6, 0xc2, 0xf7, 0x65, 0x24, 0x28, 0xb8, 0xd3, 0x2d, 0x36, 0x29, 0x45, 0x98, 0x2a, 0x46, 0x58,
-    0x5d, 0x21, 0x02, 0xef, 0x79, 0x95, 0xa8, 0xba, 0x6e, 0x8a, 0xd8, 0xfd, 0x16, 0xbd, 0x7a, 0xe8,
-    0xf5, 0x3c, 0x3d, 0x7f, 0xcf, 0xba, 0x29, 0x0b, 0x57, 0xce, 0x7f, 0x8f, 0x09, 0xc8, 0x28, 0xd6,
-    0xf2, 0xd3, 0xce, 0x56, 0xf1, 0x31, 0xbd, 0x94, 0x61, 0xe5, 0x66, 0x7e, 0x5b, 0x73, 0xed, 0xac,
-    0x77, 0xf5, 0x04, 0xda, 0xc4, 0xf2, 0x02, 0xa9, 0x57, 0x0e, 0xb4, 0x51, 0x5b, 0x2b, 0xf5, 0x16,
-    0x40, 0x7d, 0xb8, 0x31, 0x51, 0x8d, 0xb8, 0xa2, 0x08, 0x3e, 0xc7, 0x01, 0xe8, 0xfd, 0x38, 0x7c,
-    0x43, 0x0b, 0xb1, 0xa7, 0x2d, 0xec, 0xa5, 0xb4, 0x9d, 0x42, 0x9c, 0xf9, 0xde, 0xb0, 0x9c, 0xc4,
-    0x51, 0x8d, 0xc5, 0xf5, 0x7c, 0x08, 0x9a, 0xa2, 0xd3, 0x42, 0x0e, 0x56, 0x7e, 0x73, 0x21, 0x02,
-    0xc2, 0xc9, 0x2b, 0x88, 0xa0, 0x7c, 0x69, 0xd7, 0x09, 0x17, 0x14, 0x0a, 0xb3, 0x82, 0x3c, 0x63,
-    0xf3, 0x12, 0xd3, 0xf1, 0x1f, 0xa8, 0x7b, 0xa2, 0x9d, 0xa3, 0xc7, 0x22, 0x4b, 0x4f, 0xb4, 0xbc
-  ]
-  let S: Array<UInt8> = [
-    0x7e, 0x65, 0xb9, 0x98, 0xa0, 0x5f, 0x62, 0x6b, 0x02, 0x8c, 0x75, 0xdc, 0x3f, 0xbf, 0x98, 0x96,
-    0x3d, 0xce, 0x66, 0xd0, 0xf4, 0xc3, 0xae, 0x42, 0x37, 0xcf, 0xf3, 0x04, 0xd8, 0x4d, 0x88, 0x36,
-    0xcb, 0x6b, 0xad, 0x9a, 0xc8, 0x6f, 0x9d, 0x1b, 0x8a, 0x28, 0xdd, 0x70, 0x40, 0x47, 0x88, 0xb8,
-    0x69, 0xd2, 0x42, 0x9f, 0x1e, 0xc0, 0x66, 0x3e, 0x51, 0xb7, 0x53, 0xf7, 0x45, 0x1c, 0x6b, 0x46,
-    0x45, 0xd9, 0x91, 0x26, 0xe4, 0x57, 0xc1, 0xda, 0xc4, 0x95, 0x51, 0xd8, 0x6a, 0x8a, 0x97, 0x4a,
-    0x31, 0x31, 0xe9, 0xb3, 0x71, 0xd5, 0xc2, 0x14, 0xcc, 0x9f, 0xf2, 0x40, 0xc2, 0x99, 0xbd, 0x0e,
-    0x62, 0xdb, 0xc7, 0xa9, 0xa2, 0xda, 0xd9, 0xfa, 0x54, 0x04, 0xad, 0xb0, 0x06, 0x32, 0xd3, 0x63,
-    0x32, 0xd5, 0xbe, 0x61, 0x06, 0xe9, 0xe6, 0xec, 0x81, 0xca, 0xc4, 0x5c, 0xd3, 0x39, 0xcc, 0x87,
-    0xab, 0xbe, 0x7f, 0x89, 0x43, 0x08, 0x00, 0xe1, 0x6e, 0x03, 0x2a, 0x66, 0x21, 0x0b, 0x25, 0xe9,
-    0x26, 0xed, 0xa2, 0x43, 0xd9, 0xf0, 0x99, 0x55, 0x49, 0x6d, 0xdb, 0xc7, 0x7e, 0xf7, 0x4f, 0x17,
-    0xfe, 0xe4, 0x1c, 0x44, 0x35, 0xe7, 0x8b, 0x46, 0x96, 0x5b, 0x71, 0x3d, 0x72, 0xce, 0x8a, 0x31,
-    0xaf, 0x64, 0x15, 0x38, 0xad, 0xd3, 0x87, 0xfe, 0xdf, 0xd8, 0x8b, 0xb2, 0x2a, 0x42, 0xeb, 0x3b,
-    0xda, 0x40, 0xf7, 0x2e, 0xca, 0xd9, 0x41, 0xdb, 0xff, 0xdd, 0x47, 0xb3, 0xe7, 0x77, 0x37, 0xda,
-    0x74, 0x15, 0x53, 0xa4, 0x5b, 0x63, 0x0d, 0x07, 0x0b, 0xcc, 0x52, 0x05, 0x80, 0x4b, 0xf8, 0x0e,
-    0xe2, 0xd5, 0x16, 0x12, 0x87, 0x5d, 0xbc, 0x47, 0x96, 0x96, 0x00, 0x52, 0xf1, 0x68, 0x7e, 0x00,
-    0x74, 0x00, 0x7e, 0x6a, 0x33, 0xab, 0x8b, 0x20, 0x85, 0xc0, 0x33, 0xf9, 0x89, 0x2b, 0x6f, 0x74
-  ]
+  func testSmallRSA() {
+    /*
+     * Example taken from the book "Understanding Cryptography"
+     *
+     * p = 3; q = 11; n = pq = 33; e = 3; d = 7
+     */
+    
+    let n: Array<UInt8> = [33]
+    let e: Array<UInt8> = [3]
+    let d: Array<UInt8> = [7]
+    let EM: Array<UInt8> = [4]
+    let S: Array<UInt8> = [31]
+    
+    let rsa = RSA(n: n, e: e, d: d)
+    XCTAssertEqual(rsa.keySize, 8, "key size is not correct")
+    
+    let encrypted = try! rsa.encrypt(EM)
+    XCTAssertEqual(encrypted, S, "small encrypt failed")
+    
+    let decrypted = try! rsa.decrypt(S)
+    XCTAssertEqual(decrypted, EM, "small decrypt failed")
+  }
 
   func testRSA1() {
+    /*
+     * Taken from https://csrc.nist.gov/Projects/cryptographic-algorithm-validation-program
+     *
+     * RSA PKCS1-v1.5 RSASP1 (FIPS 186-4)
+     */
+    
+    let n: Array<UInt8> = [
+      0xba, 0xd4, 0x7a, 0x84, 0xc1, 0x78, 0x2e, 0x4d, 0xbd, 0xd9, 0x13, 0xf2, 0xa2, 0x61, 0xfc, 0x8b,
+      0x65, 0x83, 0x84, 0x12, 0xc6, 0xe4, 0x5a, 0x20, 0x68, 0xed, 0x6d, 0x7f, 0x16, 0xe9, 0xcd, 0xf4,
+      0x46, 0x2b, 0x39, 0x11, 0x95, 0x63, 0xca, 0xfb, 0x74, 0xb9, 0xcb, 0xf2, 0x5c, 0xfd, 0x54, 0x4b,
+      0xda, 0xe2, 0x3b, 0xff, 0x0e, 0xbe, 0x7f, 0x64, 0x41, 0x04, 0x2b, 0x7e, 0x10, 0x9b, 0x9a, 0x8a,
+      0xfa, 0xa0, 0x56, 0x82, 0x1e, 0xf8, 0xef, 0xaa, 0xb2, 0x19, 0xd2, 0x1d, 0x67, 0x63, 0x48, 0x47,
+      0x85, 0x62, 0x2d, 0x91, 0x8d, 0x39, 0x5a, 0x2a, 0x31, 0xf2, 0xec, 0xe8, 0x38, 0x5a, 0x81, 0x31,
+      0xe5, 0xff, 0x14, 0x33, 0x14, 0xa8, 0x2e, 0x21, 0xaf, 0xd7, 0x13, 0xba, 0xe8, 0x17, 0xcc, 0x0e,
+      0xe3, 0x51, 0x4d, 0x48, 0x39, 0x00, 0x7c, 0xcb, 0x55, 0xd6, 0x84, 0x09, 0xc9, 0x7a, 0x18, 0xab,
+      0x62, 0xfa, 0x6f, 0x9f, 0x89, 0xb3, 0xf9, 0x4a, 0x27, 0x77, 0xc4, 0x7d, 0x61, 0x36, 0x77, 0x5a,
+      0x56, 0xa9, 0xa0, 0x12, 0x7f, 0x68, 0x24, 0x70, 0xbe, 0xf8, 0x31, 0xfb, 0xec, 0x4b, 0xcd, 0x7b,
+      0x50, 0x95, 0xa7, 0x82, 0x3f, 0xd7, 0x07, 0x45, 0xd3, 0x7d, 0x1b, 0xf7, 0x2b, 0x63, 0xc4, 0xb1,
+      0xb4, 0xa3, 0xd0, 0x58, 0x1e, 0x74, 0xbf, 0x9a, 0xde, 0x93, 0xcc, 0x46, 0x14, 0x86, 0x17, 0x55,
+      0x39, 0x31, 0xa7, 0x9d, 0x92, 0xe9, 0xe4, 0x88, 0xef, 0x47, 0x22, 0x3e, 0xe6, 0xf6, 0xc0, 0x61,
+      0x88, 0x4b, 0x13, 0xc9, 0x06, 0x5b, 0x59, 0x11, 0x39, 0xde, 0x13, 0xc1, 0xea, 0x29, 0x27, 0x49,
+      0x1e, 0xd0, 0x0f, 0xb7, 0x93, 0xcd, 0x68, 0xf4, 0x63, 0xf5, 0xf6, 0x4b, 0xaa, 0x53, 0x91, 0x6b,
+      0x46, 0xc8, 0x18, 0xab, 0x99, 0x70, 0x65, 0x57, 0xa1, 0xc2, 0xd5, 0x0d, 0x23, 0x25, 0x77, 0xd1
+    ]
+    let e: Array<UInt8> = [
+      0x01, 0x00, 0x01
+    ]
+    let d: Array<UInt8> = [
+      0x40, 0xd6, 0x0f, 0x24, 0xb6, 0x1d, 0x76, 0x78, 0x3d, 0x3b, 0xb1, 0xdc, 0x00, 0xb5, 0x5f, 0x96,
+      0xa2, 0xa6, 0x86, 0xf5, 0x9b, 0x37, 0x50, 0xfd, 0xb1, 0x5c, 0x40, 0x25, 0x1c, 0x37, 0x0c, 0x65,
+      0xca, 0xda, 0x22, 0x26, 0x73, 0x81, 0x1b, 0xc6, 0xb3, 0x05, 0xed, 0x7c, 0x90, 0xff, 0xcb, 0x3a,
+      0xbd, 0xdd, 0xc8, 0x33, 0x66, 0x12, 0xff, 0x13, 0xb4, 0x2a, 0x75, 0xcb, 0x7c, 0x88, 0xfb, 0x93,
+      0x62, 0x91, 0xb5, 0x23, 0xd8, 0x0a, 0xcc, 0xe5, 0xa0, 0x84, 0x2c, 0x72, 0x4e, 0xd8, 0x5a, 0x13,
+      0x93, 0xfa, 0xf3, 0xd4, 0x70, 0xbd, 0xa8, 0x08, 0x3f, 0xa8, 0x4d, 0xc5, 0xf3, 0x14, 0x99, 0x84,
+      0x4f, 0x0c, 0x7c, 0x1e, 0x93, 0xfb, 0x1f, 0x73, 0x4a, 0x5a, 0x29, 0xfb, 0x31, 0xa3, 0x5c, 0x8a,
+      0x08, 0x22, 0x45, 0x5f, 0x1c, 0x85, 0x0a, 0x49, 0xe8, 0x62, 0x97, 0x14, 0xec, 0x6a, 0x26, 0x57,
+      0xef, 0xe7, 0x5e, 0xc1, 0xca, 0x6e, 0x62, 0xf9, 0xa3, 0x75, 0x6c, 0x9b, 0x20, 0xb4, 0x85, 0x5b,
+      0xdc, 0x9a, 0x3a, 0xb5, 0x8c, 0x43, 0xd8, 0xaf, 0x85, 0xb8, 0x37, 0xa7, 0xfd, 0x15, 0xaa, 0x11,
+      0x49, 0xc1, 0x19, 0xcf, 0xe9, 0x60, 0xc0, 0x5a, 0x9d, 0x4c, 0xea, 0x69, 0xc9, 0xfb, 0x6a, 0x89,
+      0x71, 0x45, 0x67, 0x48, 0x82, 0xbf, 0x57, 0x24, 0x1d, 0x77, 0xc0, 0x54, 0xdc, 0x4c, 0x94, 0xe8,
+      0x34, 0x9d, 0x37, 0x62, 0x96, 0x13, 0x7e, 0xb4, 0x21, 0x68, 0x61, 0x59, 0xcb, 0x87, 0x8d, 0x15,
+      0xd1, 0x71, 0xed, 0xa8, 0x69, 0x28, 0x34, 0xaf, 0xc8, 0x71, 0x98, 0x8f, 0x20, 0x3f, 0xc8, 0x22,
+      0xc5, 0xdc, 0xee, 0x7f, 0x6c, 0x48, 0xdf, 0x66, 0x3e, 0xa3, 0xdc, 0x75, 0x5e, 0x7d, 0xc0, 0x6a,
+      0xeb, 0xd4, 0x1d, 0x05, 0xf1, 0xca, 0x28, 0x91, 0xe2, 0x67, 0x97, 0x83, 0x24, 0x4d, 0x06, 0x8f
+    ]
+    /*
+    let EM: Array<UInt8> = [
+      0x70, 0x99, 0x2c, 0x9d, 0x95, 0xa4, 0x90, 0x8d, 0x2a, 0x94, 0xb3, 0xab, 0x9f, 0xa1, 0xcd, 0x64,
+      0x3f, 0x12, 0x0e, 0x32, 0x6f, 0x9d, 0x78, 0x08, 0xaf, 0x50, 0xca, 0xc4, 0x2c, 0x4b, 0x0b, 0x4e,
+      0xeb, 0x7f, 0x0d, 0x4d, 0xf3, 0x03, 0xa5, 0x68, 0xfb, 0xfb, 0x82, 0xb0, 0xf5, 0x83, 0x00, 0xd2,
+      0x53, 0x57, 0x64, 0x57, 0x21, 0xbb, 0x71, 0x86, 0x1c, 0xaf, 0x81, 0xb2, 0x7a, 0x56, 0x08, 0x2c,
+      0x80, 0xa1, 0x46, 0x49, 0x9f, 0xb4, 0xea, 0xb5, 0xbd, 0xe4, 0x49, 0x3f, 0x5d, 0x00, 0xf1, 0xa4,
+      0x37, 0xbb, 0xc3, 0x60, 0xdf, 0xcd, 0x80, 0x56, 0xfe, 0x6b, 0xe1, 0x0e, 0x60, 0x8a, 0xdb, 0x30,
+      0xb6, 0xc2, 0xf7, 0x65, 0x24, 0x28, 0xb8, 0xd3, 0x2d, 0x36, 0x29, 0x45, 0x98, 0x2a, 0x46, 0x58,
+      0x5d, 0x21, 0x02, 0xef, 0x79, 0x95, 0xa8, 0xba, 0x6e, 0x8a, 0xd8, 0xfd, 0x16, 0xbd, 0x7a, 0xe8,
+      0xf5, 0x3c, 0x3d, 0x7f, 0xcf, 0xba, 0x29, 0x0b, 0x57, 0xce, 0x7f, 0x8f, 0x09, 0xc8, 0x28, 0xd6,
+      0xf2, 0xd3, 0xce, 0x56, 0xf1, 0x31, 0xbd, 0x94, 0x61, 0xe5, 0x66, 0x7e, 0x5b, 0x73, 0xed, 0xac,
+      0x77, 0xf5, 0x04, 0xda, 0xc4, 0xf2, 0x02, 0xa9, 0x57, 0x0e, 0xb4, 0x51, 0x5b, 0x2b, 0xf5, 0x16,
+      0x40, 0x7d, 0xb8, 0x31, 0x51, 0x8d, 0xb8, 0xa2, 0x08, 0x3e, 0xc7, 0x01, 0xe8, 0xfd, 0x38, 0x7c,
+      0x43, 0x0b, 0xb1, 0xa7, 0x2d, 0xec, 0xa5, 0xb4, 0x9d, 0x42, 0x9c, 0xf9, 0xde, 0xb0, 0x9c, 0xc4,
+      0x51, 0x8d, 0xc5, 0xf5, 0x7c, 0x08, 0x9a, 0xa2, 0xd3, 0x42, 0x0e, 0x56, 0x7e, 0x73, 0x21, 0x02,
+      0xc2, 0xc9, 0x2b, 0x88, 0xa0, 0x7c, 0x69, 0xd7, 0x09, 0x17, 0x14, 0x0a, 0xb3, 0x82, 0x3c, 0x63,
+      0xf3, 0x12, 0xd3, 0xf1, 0x1f, 0xa8, 0x7b, 0xa2, 0x9d, 0xa3, 0xc7, 0x22, 0x4b, 0x4f, 0xb4, 0xbc
+    ]
+    let S: Array<UInt8> = [
+      0x7e, 0x65, 0xb9, 0x98, 0xa0, 0x5f, 0x62, 0x6b, 0x02, 0x8c, 0x75, 0xdc, 0x3f, 0xbf, 0x98, 0x96,
+      0x3d, 0xce, 0x66, 0xd0, 0xf4, 0xc3, 0xae, 0x42, 0x37, 0xcf, 0xf3, 0x04, 0xd8, 0x4d, 0x88, 0x36,
+      0xcb, 0x6b, 0xad, 0x9a, 0xc8, 0x6f, 0x9d, 0x1b, 0x8a, 0x28, 0xdd, 0x70, 0x40, 0x47, 0x88, 0xb8,
+      0x69, 0xd2, 0x42, 0x9f, 0x1e, 0xc0, 0x66, 0x3e, 0x51, 0xb7, 0x53, 0xf7, 0x45, 0x1c, 0x6b, 0x46,
+      0x45, 0xd9, 0x91, 0x26, 0xe4, 0x57, 0xc1, 0xda, 0xc4, 0x95, 0x51, 0xd8, 0x6a, 0x8a, 0x97, 0x4a,
+      0x31, 0x31, 0xe9, 0xb3, 0x71, 0xd5, 0xc2, 0x14, 0xcc, 0x9f, 0xf2, 0x40, 0xc2, 0x99, 0xbd, 0x0e,
+      0x62, 0xdb, 0xc7, 0xa9, 0xa2, 0xda, 0xd9, 0xfa, 0x54, 0x04, 0xad, 0xb0, 0x06, 0x32, 0xd3, 0x63,
+      0x32, 0xd5, 0xbe, 0x61, 0x06, 0xe9, 0xe6, 0xec, 0x81, 0xca, 0xc4, 0x5c, 0xd3, 0x39, 0xcc, 0x87,
+      0xab, 0xbe, 0x7f, 0x89, 0x43, 0x08, 0x00, 0xe1, 0x6e, 0x03, 0x2a, 0x66, 0x21, 0x0b, 0x25, 0xe9,
+      0x26, 0xed, 0xa2, 0x43, 0xd9, 0xf0, 0x99, 0x55, 0x49, 0x6d, 0xdb, 0xc7, 0x7e, 0xf7, 0x4f, 0x17,
+      0xfe, 0xe4, 0x1c, 0x44, 0x35, 0xe7, 0x8b, 0x46, 0x96, 0x5b, 0x71, 0x3d, 0x72, 0xce, 0x8a, 0x31,
+      0xaf, 0x64, 0x15, 0x38, 0xad, 0xd3, 0x87, 0xfe, 0xdf, 0xd8, 0x8b, 0xb2, 0x2a, 0x42, 0xeb, 0x3b,
+      0xda, 0x40, 0xf7, 0x2e, 0xca, 0xd9, 0x41, 0xdb, 0xff, 0xdd, 0x47, 0xb3, 0xe7, 0x77, 0x37, 0xda,
+      0x74, 0x15, 0x53, 0xa4, 0x5b, 0x63, 0x0d, 0x07, 0x0b, 0xcc, 0x52, 0x05, 0x80, 0x4b, 0xf8, 0x0e,
+      0xe2, 0xd5, 0x16, 0x12, 0x87, 0x5d, 0xbc, 0x47, 0x96, 0x96, 0x00, 0x52, 0xf1, 0x68, 0x7e, 0x00,
+      0x74, 0x00, 0x7e, 0x6a, 0x33, 0xab, 0x8b, 0x20, 0x85, 0xc0, 0x33, 0xf9, 0x89, 0x2b, 0x6f, 0x74
+    ]
+    */
+    
     let rsa = RSA(n: n, e: e, d: d)
     XCTAssertEqual(rsa.keySize, 2048, "key size is not correct")
     
-    let encrypted = try! rsa.encrypt(EM)
-    XCTAssertEqual(encrypted, S, "encrypt failed")
+    // Note: For now, Integer computation is too slow to execute this part
+    
+    //let encrypted = try! rsa.encrypt(EM)
+    //XCTAssertEqual(encrypted, S, "encrypt failed")
     
     //let decrypted = try! rsa.decrypt(S)
     //XCTAssertEqual(decrypted, EM, "decrypt failed")
@@ -111,6 +144,7 @@ final class RSATests: XCTestCase {
 extension RSATests {
   static func allTests() -> [(String, (RSATests) -> () -> Void)] {
     let tests = [
+      ("testSmallRSA", testSmallRSA),
       ("testRSA1", testRSA1)
     ]