MPC180LMB Freescale Semiconductor, MPC180LMB Datasheet - Page 62

• Manufacturer Part Number: MPC180LMB
• Description: IC SECURITY PROCES 66MHZ 100LQFP
• Manufacturer: Freescale Semiconductor

Specifications of MPC180LMB

• Processor Type: Security Processor
• Speed: 66MHz
• Voltage: 1.8V
• Mounting Type: Surface Mount
• Package / Case: 100-LQFP
• Lead Free Status / RoHS Status: Contains lead / RoHS non-compliant
• Features: -

ECC Routines
7.3.3 ECC F
This function is extensively utilized by the point multiply routine. However, its value as a
stand-alone routine to the host processor is extremely limited. As a result, the information
provided on the routine is primarily for testing and debug purposes.
7-12
Computation
Entry name
Entry address
Pre-conditions
Post-conditions
Special
conditions
R = Q + Q = 2 * Q, where R
FpdoubleQ
0x003(FpdoubleQ)
B1 = X’
B2 = Y’
B3 = Z’
A3 = a’ (elliptic curve parameter in Montgomery residue system)
B0 = b’ (elliptic curve parameter in Montgomery residue system)
N0 = prime p (modulus) of the ECC system
B1 = X’
B2 = Y’
B3 = Z’
A3 = a’
B0 = b’
Unless explicitly noted, all other registers are not guaranteed to be any particular value.
All variables followed with the tick mark (‘) indicate it is in the Montgomery residue system.
While not explicitly mentioned or necessary, the contents registers A0, A1, and A2 a left
undisturbed in anticipation that these will store the generator point (P) during a point multiply.
p
Figure 7-6. ECC F
Initial Condition
1
3
1
3
1
3
Point Double
(projective coordinate in Montgomery residue system)
(projective coordinate in Montgomery residue system)
(projective coordinate in Montgomery residue system)
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modulus N
Table 7-7. ECC F
‘1’ - ECC enabled
‘0’ - F
Z’
Y’
X’
b’
a’
1
1
1
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p
enabled
set
p
(X
EXP(k)_SIZE
3
Modsize
Point Double Register Usage
EXP(k)
,Y
ECC
XYZ
F2M
B3
B2
B1
B0
A3
A2
A1
A0
N3
N2
N1
N0
3
,Z
3
), and Q
F
p
p
Point Double
Point Double
same
Z’
Y’
X’
b’
a’
same
same
same
?
?
?
modulus N
same
Final Condition
same
3
3
3
(X
3
,Y
3
, Z
3
)