Copyright (c) 2014-2021 SEGGER Microcontroller GmbH www.segger.com
Modular Exponentiation Benchmark compiled Nov 17 2023 22:51:42
Compiler: gcc 12.2.0
System: Processor speed = 160.000 MHz
Config: CRYPTO_VERSION = 24001 [2.40a]
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 | 286.16 1.00x 700 1.00x | 1593.21 1.00x 1340 1.00x |
| Basic, ladder | 410.12 0.70x 840 1.20x | 2984.72 0.53x 1608 1.20x |
| Basic, 2b, FW | 271.67 1.05x 1260 1.80x | 1656.15 0.96x 2412 1.80x |
| Basic, 3b, FW | 259.49 1.10x 1820 2.60x | 1748.19 0.91x 3484 2.60x |
| Basic, 4b, FW | 250.84 1.14x 2940 4.20x | 1747.13 0.91x 5628 4.20x |
| Basic, 5b, FW | 248.65 1.15x 5180 7.40x | 1721.95 0.93x 9916 7.40x |
| Basic, 6b, FW | 253.20 1.13x 9660 13.80x | 1695.42 0.94x 18492 13.80x |
+---------------------------+--------------------------------+--------------------------------+
| Basic, 2b, RM | 267.40 1.07x 1260 1.80x | 1622.02 0.98x 2412 1.80x |
| Basic, 3b, RM | 255.68 1.12x 1540 2.20x | 1674.17 0.95x 2948 2.20x |
| Basic, 4b, RM | 247.61 1.16x 2100 3.00x | 1691.23 0.94x 4020 3.00x |
| Basic, 5b, RM | 243.38 1.18x 3220 4.60x | 1682.79 0.95x 6164 4.60x |
| Basic, 6b, RM | 243.70 1.17x 5460 7.80x | 1671.71 0.95x 10452 7.80x |
+---------------------------+--------------------------------+--------------------------------+
| Barrett, fast | 232.68 1.23x 980 1.40x | 1149.34 1.39x 1876 1.40x |
| Barrett, ladder | 325.89 0.88x 1120 1.60x | 2036.57 0.78x 2144 1.60x |
| Barrett, 2b, FW | 219.94 1.30x 1540 2.20x | 1187.37 1.34x 2948 2.20x |
| Barrett, 3b, FW | 207.41 1.38x 2100 3.00x | 1213.71 1.31x 4020 3.00x |
| Barrett, 4b, FW | 200.10 1.43x 3220 4.60x | 1194.90 1.33x 6164 4.60x |
| Barrett, 5b, FW | 198.37 1.44x 5460 7.80x | 1174.12 1.36x 10452 7.80x |
| Barrett, 6b, FW | 202.34 1.41x 9940 14.20x | 1158.97 1.37x 19028 14.20x |
+---------------------------+--------------------------------+--------------------------------+
| Barrett, 2b, RM | 215.03 1.33x 1540 2.20x | 1153.46 1.38x 2948 2.20x |
| Barrett, 3b, RM | 204.36 1.40x 1820 2.60x | 1166.11 1.37x 3484 2.60x |
| Barrett, 4b, RM | 197.15 1.45x 2380 3.40x | 1161.73 1.37x 4556 3.40x |
| Barrett, 5b, RM | 193.88 1.48x 3500 5.00x | 1150.11 1.39x 6700 5.00x |
| Barrett, 6b, RM | 193.83 1.48x 5740 8.20x | 1142.75 1.39x 10988 8.20x |
+---------------------------+--------------------------------+--------------------------------+
| Montgomery, fast | 242.63 1.18x 700 1.00x | 1741.34 0.91x 1340 1.00x |
| Montgomery, ladder | 325.22 0.88x 840 1.20x | 2309.82 0.69x 1608 1.20x |
| Montgomery, 2b, FW | 244.66 1.17x 1260 1.80x | 1737.05 0.92x 2412 1.80x |
| Montgomery, 3b, FW | 219.38 1.30x 1820 2.60x | 1551.13 1.03x 3484 2.60x |
| Montgomery, 4b, FW | 208.68 1.37x 2940 4.20x | 1465.12 1.09x 5628 4.20x |
| Montgomery, 5b, FW | 206.20 1.39x 5180 7.40x | 1425.90 1.12x 9916 7.40x |
| Montgomery, 6b, FW | 211.13 1.36x 9660 13.80x | 1425.14 1.12x 18492 13.80x |
+---------------------------+--------------------------------+--------------------------------+
| Montgomery, 2b, RM | 222.64 1.29x 1260 1.80x | 1596.91 1.00x 2412 1.80x |
| Montgomery, 3b, RM | 211.16 1.36x 1540 2.20x | 1500.46 1.06x 2948 2.20x |
| Montgomery, 4b, RM | 203.73 1.40x 2100 3.00x | 1436.88 1.11x 4020 3.00x |
| Montgomery, 5b, RM | 200.43 1.43x 3220 4.60x | 1404.70 1.13x 6164 4.60x |
| Montgomery, 6b, RM | 200.66 1.43x 5460 7.80x | 1385.82 1.15x 10452 7.80x |
+---------------------------+--------------------------------+--------------------------------+
| Configured | 286.10 1.00x 700 1.00x | 1593.20 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 | 10.42 1.00x 804 1.00x | 43.29 1.00x 1572 1.00x |
| Basic, ladder | 20.91 0.50x 1072 1.33x | 86.44 0.50x 2096 1.33x |
| Basic, 2b, FW | 11.88 0.88x 1876 2.33x | 48.78 0.89x 3668 2.33x |
| Basic, 3b, FW | 13.85 0.75x 2948 3.67x | 56.71 0.76x 5764 3.67x |
| Basic, 4b, FW | 19.65 0.53x 5092 6.33x | 79.26 0.55x 9956 6.33x |
| Basic, 5b, FW | 29.37 0.35x 9380 11.67x | 115.51 0.37x 18340 11.67x |
| Basic, 6b, FW | 47.73 0.22x 17956 22.33x | 179.91 0.24x 35108 22.33x |
+---------------------------+--------------------------------+--------------------------------+
| Basic, 2b, RM | 11.68 0.89x 1876 2.33x | 48.36 0.90x 3668 2.33x |
| Basic, 3b, RM | 12.99 0.80x 2412 3.00x | 53.66 0.81x 4716 3.00x |
| Basic, 4b, RM | 15.63 0.67x 3484 4.33x | 63.89 0.68x 6812 4.33x |
| Basic, 5b, RM | 20.86 0.50x 5628 7.00x | 83.99 0.52x 11004 7.00x |
| Basic, 6b, RM | 31.23 0.33x 9916 12.33x | 123.19 0.35x 19388 12.33x |
+---------------------------+--------------------------------+--------------------------------+
| Barrett, fast | 8.73 1.19x 1340 1.67x | 31.01 1.40x 2620 1.67x |
| Barrett, ladder | 17.58 0.59x 1608 2.00x | 62.60 0.69x 3144 2.00x |
| Barrett, 2b, FW | 10.08 1.03x 2412 3.00x | 35.09 1.23x 4716 3.00x |
| Barrett, 3b, FW | 11.59 0.90x 3484 4.33x | 40.46 1.07x 6812 4.33x |
| Barrett, 4b, FW | 16.17 0.64x 5628 7.00x | 56.01 0.77x 11004 7.00x |
| Barrett, 5b, FW | 23.89 0.44x 9916 12.33x | 81.86 0.53x 19388 12.33x |
| Barrett, 6b, FW | 38.68 0.27x 18492 23.00x | 128.50 0.34x 36156 23.00x |
+---------------------------+--------------------------------+--------------------------------+
| Barrett, 2b, RM | 9.74 1.07x 2412 3.00x | 34.44 1.26x 4716 3.00x |
| Barrett, 3b, RM | 10.77 0.97x 2948 3.67x | 38.01 1.14x 5764 3.67x |
| Barrett, 4b, RM | 12.87 0.81x 4020 5.00x | 45.19 0.96x 7860 5.00x |
| Barrett, 5b, RM | 17.02 0.61x 6164 7.67x | 59.26 0.73x 12052 7.67x |
| Barrett, 6b, RM | 25.24 0.41x 10452 13.00x | 86.74 0.50x 20436 13.00x |
+---------------------------+--------------------------------+--------------------------------+
| Montgomery, fast | 11.91 0.87x 804 1.00x | 45.36 0.95x 1572 1.00x |
| Montgomery, ladder | 21.58 0.48x 1072 1.33x | 82.42 0.53x 2096 1.33x |
| Montgomery, 2b, FW | 18.03 0.58x 1876 2.33x | 68.75 0.63x 3668 2.33x |
| Montgomery, 3b, FW | 18.62 0.56x 2948 3.67x | 70.92 0.61x 5764 3.67x |
| Montgomery, 4b, FW | 23.72 0.44x 5092 6.33x | 90.19 0.48x 9956 6.33x |
| Montgomery, 5b, FW | 32.21 0.32x 9380 11.67x | 122.30 0.35x 18340 11.67x |
| Montgomery, 6b, FW | 48.82 0.21x 17956 22.33x | 184.41 0.23x 35108 22.33x |
+---------------------------+--------------------------------+--------------------------------+
| Montgomery, 2b, RM | 13.60 0.77x 1876 2.33x | 51.78 0.84x 3668 2.33x |
| Montgomery, 3b, RM | 14.72 0.71x 2412 3.00x | 56.05 0.77x 4716 3.00x |
| Montgomery, 4b, RM | 18.09 0.58x 3484 4.33x | 68.86 0.63x 6812 4.33x |
| Montgomery, 5b, RM | 22.60 0.46x 5628 7.00x | 86.01 0.50x 11004 7.00x |
| Montgomery, 6b, RM | 30.54 0.34x 9916 12.33x | 116.07 0.37x 19388 12.33x |
+---------------------------+--------------------------------+--------------------------------+
| Configured | 10.42 1.00x 804 1.00x | 43.29 1.00x 1572 1.00x |
+---------------------------+--------------------------------+--------------------------------+
Benchmark complete
