Index 351
elliptic curve cryptography 65–79
algorithm info types 110
curve generation 262
examples
acceleration table 273–280
key pair generation 268–270
key retrieval 271–272
parameter generation 260–264
parameter retrieval 264–267
interoperability 90
key 72, 100, 262
key info types 115
output considerations 276
recommendations 90
RSA algorithm vs. 90
scalar multiplication 70
See also ECDSA, Elliptic Curve
Authenticated Encryption Scheme,
Elliptic Curve Diffie-Hellman key
agreement, elliptic curve parameters
Elliptic Curve Diffie-Hellman key
agreement 77–80
example 280–284
output considerations 283
private value 78, 283
public value 78
elliptic curve discrete logarithm problem 65
elliptic curve parameters 66–71
base point 71
characteristic 67, 68, 90
coefficients 68–69
cofactor 71
even characteristic 67–68
optimal normal basis 72
polynomial basis 72
representation 72
example 260–264
field 66, 67
odd prime 66
order 70, 100
point 69
point at infinity 69, 70
summary 71
emergency access See key escrow, secret
sharing 89
encoding
BER vs. ASCII 125
entropy 93
envelope See digital envelope
error code 10, 128
examples
ASCII encoding 172–176
BER encoding 124–125
DES with CBC 178–183
Diffie-Hellman key agreement 249–259
Digital Signature Algorithm 239–248
ECDSA 284–291
Elliptic Curve Authenticated Encryption
Scheme 297–303
Elliptic Curve Diffie-Hellman 280–284
HMAC 161–164
message digest (SHA1) 152–156
password-based encryption 206–211
random numbers 165–171
RC2 with CBC 184–190
RC4 9
RC5 with CBC 190–196
RC6 with CBC 196–201
RSA algorithm 214–232
secret sharing 305–311
surrender function 119
F
factoring 54, 98
feedback mode 41
Fermat 4 129
FIPS compliance 4
G
Generating an EC Key Pair 293
H
hardware 111
See also BHAPI
hardware accelerator
perform DES encryption 148
hash function See message digest
hash-based message authentication code
(HMAC) 49
example 161–164
Hellman, Martin 62
HMAC 2
HMAC See hash-based message
authentication code
I
include files
choos_c.c 116
tstdlib.c 18, 336
initialization vector 41, 179
uniqueness 94
input constraints 126
K
key 97
DES 97
DSA 60
elliptic curve 72, 100
