Copyright (c) 2014-2019 SEGGER Microcontroller GmbH www.segger.com
Modular Exponentiation Benchmark compiled Jul 8 2019 11:39:54
Compiler: gcc 8.2.1
System: Processor speed = 200.000 MHz
Config: CRYPTO_VERSION = 23400 [2.34]
Config: CRYPTO_MPI_BITS_PER_LIMB = 32
Modular Arithmetic Performance
==============================
CRT private key, exponent length = modulus length, all times in ms
+---------------------------+--------------------------------+--------------------------------+
| Modulus | 1024 bits | 2048 bits |
| Algorithm | Time x Memory x | Time x Memory x |
+---------------------------+--------------------------------+--------------------------------+
| Basic, fast | 185.33 1.00x 700 1.00x | 905.47 1.00x 1340 1.00x |
| Basic, ladder | 259.25 0.71x 840 1.20x | 1403.02 0.65x 1608 1.20x |
| Basic, 2b, FW | 174.00 1.07x 1260 1.80x | 874.01 1.04x 2412 1.80x |
| Basic, 3b, FW | 166.15 1.12x 1820 2.60x | 863.53 1.05x 3484 2.60x |
| Basic, 4b, FW | 160.86 1.15x 2940 4.20x | 844.50 1.07x 5628 4.20x |
| Basic, 5b, FW | 159.57 1.16x 5180 7.40x | 831.48 1.09x 9916 7.40x |
| Basic, 6b, FW | 163.00 1.14x 9660 13.80x | 824.51 1.10x 18492 13.80x |
+---------------------------+--------------------------------+--------------------------------+
| Basic, 2b, RM | 172.01 1.08x 1260 1.80x | 864.03 1.05x 2412 1.80x |
| Basic, 3b, RM | 164.00 1.13x 1540 2.20x | 845.51 1.07x 2948 2.20x |
| Basic, 4b, RM | 158.29 1.17x 2100 3.00x | 829.01 1.09x 4020 3.00x |
| Basic, 5b, RM | 155.72 1.19x 3220 4.60x | 817.00 1.11x 6164 4.60x |
| Basic, 6b, RM | 155.86 1.19x 5460 7.80x | 808.51 1.12x 10452 7.80x |
+---------------------------+--------------------------------+--------------------------------+
| Barrett, fast | 120.22 1.54x 980 1.40x | 639.52 1.42x 1876 1.40x |
| Barrett, ladder | 166.67 1.11x 1120 1.60x | 989.48 0.92x 2144 1.60x |
| Barrett, 2b, FW | 113.22 1.64x 1540 2.20x | 616.98 1.47x 2948 2.20x |
| Barrett, 3b, FW | 106.10 1.75x 2100 3.00x | 600.02 1.51x 4020 3.00x |
| Barrett, 4b, FW | 102.30 1.81x 3220 4.60x | 581.99 1.56x 6164 4.60x |
| Barrett, 5b, FW | 101.30 1.83x 5460 7.80x | 571.48 1.58x 10452 7.80x |
| Barrett, 6b, FW | 103.90 1.78x 9940 14.20x | 567.00 1.60x 19028 14.20x |
+---------------------------+--------------------------------+--------------------------------+
| Barrett, 2b, RM | 110.40 1.68x 1540 2.20x | 604.00 1.50x 2948 2.20x |
| Barrett, 3b, RM | 104.60 1.77x 1820 2.60x | 586.50 1.54x 3484 2.60x |
| Barrett, 4b, RM | 100.70 1.84x 2380 3.40x | 571.52 1.58x 4556 3.40x |
| Barrett, 5b, RM | 99.00 1.87x 3500 5.00x | 562.00 1.61x 6700 5.00x |
| Barrett, 6b, RM | 99.00 1.87x 5740 8.20x | 555.48 1.63x 10988 8.20x |
+---------------------------+--------------------------------+--------------------------------+
| Montgomery, fast | 96.00 1.93x 700 1.00x | 635.50 1.42x 1340 1.00x |
| Montgomery, ladder | 129.12 1.44x 840 1.20x | 842.01 1.08x 1608 1.20x |
| Montgomery, 2b, FW | 97.09 1.91x 1260 1.80x | 634.02 1.43x 2412 1.80x |
| Montgomery, 3b, FW | 87.08 2.13x 1820 2.60x | 565.51 1.60x 3484 2.60x |
| Montgomery, 4b, FW | 82.70 2.24x 2940 4.20x | 534.52 1.69x 5628 4.20x |
| Montgomery, 5b, FW | 81.77 2.27x 5180 7.40x | 521.48 1.74x 9916 7.40x |
| Montgomery, 6b, FW | 83.83 2.21x 9660 13.80x | 519.52 1.74x 18492 13.80x |
+---------------------------+--------------------------------+--------------------------------+
| Montgomery, 2b, RM | 88.17 2.10x 1260 1.80x | 582.48 1.55x 2412 1.80x |
| Montgomery, 3b, RM | 83.50 2.22x 1540 2.20x | 546.52 1.66x 2948 2.20x |
| Montgomery, 4b, RM | 80.61 2.30x 2100 3.00x | 523.51 1.73x 4020 3.00x |
| Montgomery, 5b, RM | 79.46 2.33x 3220 4.60x | 512.50 1.77x 6164 4.60x |
| Montgomery, 6b, RM | 79.77 2.32x 5460 7.80x | 505.50 1.79x 10452 7.80x |
+---------------------------+--------------------------------+--------------------------------+
| Configured | 185.49 1.00x 700 1.00x | 905.00 1.00x 1340 1.00x |
+---------------------------+--------------------------------+--------------------------------+
Public key, exponent length = 17 bits, all times in ms
+---------------------------+--------------------------------+--------------------------------+
| Modulus | 1024 bits | 2048 bits |
| Algorithm | Time x Memory x | Time x Memory x |
+---------------------------+--------------------------------+--------------------------------+
| Basic, fast | 5.43 1.00x 804 1.00x | 16.93 1.00x 1572 1.00x |
| Basic, ladder | 10.77 0.50x 1072 1.33x | 33.83 0.50x 2096 1.33x |
| Basic, 2b, FW | 6.20 0.88x 1876 2.33x | 19.19 0.88x 3668 2.33x |
| Basic, 3b, FW | 7.19 0.75x 2948 3.67x | 22.35 0.76x 5764 3.67x |
| Basic, 4b, FW | 10.17 0.53x 5092 6.33x | 31.56 0.54x 9956 6.33x |
| Basic, 5b, FW | 15.17 0.36x 9380 11.67x | 46.95 0.36x 18340 11.67x |
| Basic, 6b, FW | 24.76 0.22x 17956 22.33x | 75.64 0.22x 35108 22.33x |
+---------------------------+--------------------------------+--------------------------------+
| Basic, 2b, RM | 6.09 0.89x 1876 2.33x | 18.94 0.89x 3668 2.33x |
| Basic, 3b, RM | 6.76 0.80x 2412 3.00x | 21.04 0.80x 4716 3.00x |
| Basic, 4b, RM | 8.10 0.67x 3484 4.33x | 25.20 0.67x 6812 4.33x |
| Basic, 5b, RM | 10.78 0.50x 5628 7.00x | 33.50 0.51x 11004 7.00x |
| Basic, 6b, RM | 16.10 0.34x 9916 12.33x | 49.81 0.34x 19388 12.33x |
+---------------------------+--------------------------------+--------------------------------+
| Barrett, fast | 4.17 1.30x 1340 1.67x | 14.03 1.21x 2620 1.67x |
| Barrett, ladder | 8.56 0.63x 1608 2.00x | 29.14 0.58x 3144 2.00x |
| Barrett, 2b, FW | 4.93 1.10x 2412 3.00x | 16.19 1.05x 4716 3.00x |
| Barrett, 3b, FW | 5.67 0.96x 3484 4.33x | 18.89 0.90x 6812 4.33x |
| Barrett, 4b, FW | 7.94 0.68x 5628 7.00x | 26.66 0.64x 11004 7.00x |
| Barrett, 5b, FW | 11.82 0.46x 9916 12.33x | 39.88 0.42x 19388 12.33x |
| Barrett, 6b, FW | 19.37 0.28x 18492 23.00x | 64.81 0.26x 36156 23.00x |
+---------------------------+--------------------------------+--------------------------------+
| Barrett, 2b, RM | 4.68 1.16x 2412 3.00x | 15.70 1.08x 4716 3.00x |
| Barrett, 3b, RM | 5.19 1.05x 2948 3.67x | 17.48 0.97x 5764 3.67x |
| Barrett, 4b, RM | 6.23 0.87x 4020 5.00x | 21.04 0.80x 7860 5.00x |
| Barrett, 5b, RM | 8.30 0.65x 6164 7.67x | 28.11 0.60x 12052 7.67x |
| Barrett, 6b, RM | 12.42 0.44x 10452 13.00x | 42.12 0.40x 20436 13.00x |
+---------------------------+--------------------------------+--------------------------------+
| Montgomery, fast | 4.39 1.24x 804 1.00x | 15.64 1.08x 1572 1.00x |
| Montgomery, ladder | 8.02 0.68x 1072 1.33x | 28.60 0.59x 2096 1.33x |
| Montgomery, 2b, FW | 6.66 0.82x 1876 2.33x | 23.81 0.71x 3668 2.33x |
| Montgomery, 3b, FW | 6.86 0.79x 2948 3.67x | 24.54 0.69x 5764 3.67x |
| Montgomery, 4b, FW | 8.74 0.62x 5092 6.33x | 31.25 0.54x 9956 6.33x |
| Montgomery, 5b, FW | 11.86 0.46x 9380 11.67x | 42.50 0.40x 18340 11.67x |
| Montgomery, 6b, FW | 17.91 0.30x 17956 22.33x | 64.25 0.26x 35108 22.33x |
+---------------------------+--------------------------------+--------------------------------+
| Montgomery, 2b, RM | 5.02 1.08x 1876 2.33x | 17.88 0.95x 3668 2.33x |
| Montgomery, 3b, RM | 5.43 1.00x 2412 3.00x | 19.38 0.87x 4716 3.00x |
| Montgomery, 4b, RM | 6.67 0.81x 3484 4.33x | 23.83 0.71x 6812 4.33x |
| Montgomery, 5b, RM | 8.34 0.65x 5628 7.00x | 29.82 0.57x 11004 7.00x |
| Montgomery, 6b, RM | 11.26 0.48x 9916 12.33x | 40.28 0.42x 19388 12.33x |
+---------------------------+--------------------------------+--------------------------------+
| Configured | 5.43 1.00x 804 1.00x | 16.92 1.00x 1572 1.00x |
+---------------------------+--------------------------------+--------------------------------+
Benchmark complete.
