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Implementing Elliptic Curve Cryptography Michael Rosing 1998 | 330 pages ISBN: 1884777694 |
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$47.95 | Softbound print book | |
Errata
This page is used to list and correct known errors in Implementing Elliptic Curve Cryptograpy. We apologize for any inconvenience.
Page 14
The words:
factoring program
should read:
set of subroutines
just before 2.1.
Page 34
Equation 2.26 should be changed from:
v3=13
to:
v3=130
Note: there are 4 more steps, 2.27 becomes
q=1
2.28 and subsequent steps go as follows in the order u1, u2, u3, v1, v2, v3
(-37, 55, 130, 72,-107, 91)
q = 1
(72, -107, 91, -109, 162, 39)
q = 2
(-109, 162, 39, 290, -431, 13)
q = 3
(290, -431, 13, -870, 1455, 0)
This will change all equation numbers, too.
Page 79
In equation 4.12, the subscript
ijk
should be in italics.
Also in equation 4.13,
k
should become
ck
Page 88
In table 4.5, row i = 5, column
j2 = 5
should be
j2 = 7
Page 93
In equation 4.40,
k
should become
ck
Page 110
Equation 5.26:
y3 = theta(x1 + x3) - y1
should be changed to:
y3 = theta(x1 + x3) + x3 + y1
Page 126
The phrase
Arithmentic of Elliptic Curves
in Ref. 1 should be chaged to:
Arithmetic of elliptic curves
Page 144
The word
equaiton
should be changed to
equation
six lines from the top.
Page 172
In equation 7.2
0 X 100020001 > #E > 0 X FFFE0001
should be changed to
0x1000000200000001 > #E > 0xFFFFFFFFE0000001
In equation 7.3
1.844674407 x 1019 > #E > 1.8446744 x 1019
should be changed to
18446744082299486209 > #E > 18446744065119617025
Page 226
a^2 and a^6
should be changed to
a_2 and a_6
Page 230
g[3] = g[0] + g[1]
should be changed to
g[2] = g[0] + g[1]
Page 263
int_to_field( &sig_value, &signature->d);
Should be changed to the following:
int_to_field( &temp, &signature->d);
DESCRIPTION
Implementing Elliptic Curve Cryptography proceeds step-by-step to explain basic number theory, polynomial mathematics, normal basis mathematics and elliptic curve mathematics. With these in place, applications to cryptography are introduced. The book is filled with C code to illustrate how mathematics is put into a computer, and the last several chapters show how to implement several cryptographic protocols. The most important is a description of P1363, an IEEE draft standard for public key cryptography.
The main purpose of Implementing Elliptic Curve Cryptography is to help "crypto engineers" implement functioning, state-of-the-art cryptographic algorithms in the minimum time. With detailed descriptions of the mathematics, the reader can expand on the code given in the book and develop optimal hardware or software for their own applications.
Implementing Elliptic Curve Cryptography assumes the reader has at least a high school background in algebra, but it explains, in stepwise fashion, what has been considered to be a topic only for graduate-level students.
WHAT THE EXPERTS SAY ABOUT THIS BOOK...
"The book provides all the theory and working programs needed to create real applications based on the latest IEEE P1363 standard."
--Reviewed in Cryptologia
ABOUT THE AUTHOR...
With a background that includes nuclear engineering, hardware computer design, and telephony, Michael Rosing has seen how cryptography plays an important role in military and commercial applications. At present he is employed building DSP hardware for brain research at the University of Wisconsin in Madison.