ST STM32WL5 Series User Manual

RM0453 Rev 1 717/1461
RM0453 Public key accelerator (PKA)
728
24.5 Example of configurations and processing times
24.5.1 Configuration of curves
Table 167 gives the modulus values used by PKA for ECC domain calculations:
• p is the prime number used as the modulus for all point arithmetic
– plen is the length of p in bits
• n is the (usually prime) order of the group generated by G, the base point of the curve.
This variable is also known as q, see RFC 5639
– nlen is the length of n in bits
• a and b are the coefficients of the equation y
2
= x
3
+ a*x + b (mod p) defining the elliptic
curve. For NIST curves a is always equal to -3
• G = (x
G
, y
G
) is the base point
Those modulus are given for the curves considered secure according to the latest security
recommendations:
• curves with name nist are published by NIST in Federal Information Processing
Standards Publication FIPS PUB 186-4,
• curves with name brainpool are published by Internet Engineering Task Force (IETF) in
the Request for Comments RFC 5639.
Table 167. ECC curves parameters
Curve ID Variables Values
nist P-192
p
len
, n
len
192, 192
p 0xFFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE FFFFFFFF FFFFFFFF
n 0xFFFFFFFF FFFFFFFF FFFFFFFF 99DEF836 146BC9B1 B4D22831
a-3
b 0x64210519 E59C80E7 0FA7E9AB 72243049 FEB8DEEC C146B9B1
x
G
0x188DA80E B03090F6 7CBF20EB 43A18800 F4FF0AFD 82FF1012
y
G
0x07192B95 FFC8DA78 631011ED 6B24CDD5 73F977A1 1E794811
nist P-224
p
len
, n
len
224, 224
p 0xFFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF 00000000 00000000 00000001
n 0xFFFFFFFF FFFFFFFF FFFFFFFF FFFF16A2 E0B8F03E 13DD2945 5C5C2A3D
a-3
b 0xB4050A85 0C04B3AB F5413256 5044B0B7 D7BFD8BA 270B3943 2355FFB4
x
G
0xB70E0CBD 6BB4BF7F 321390B9 4A03C1D3 56C21122 343280D6 115C1D21
y
G
0xBD376388 B5F723FB 4C22DFE6 CD4375A0 5A074764 44D58199 85007E34

ST STM32WL5 Series Specifications

General

Brand	ST
Model	STM32WL5 Series
Category	Microcontrollers
Language	English