Tài liệu Handbook of Applied Cryptography docx
Tài liệu Handbook of Applied Cryptography - chap1 ppt
... abstract
concepts of this section in mind as concrete methods are presented.
Handbook of Applied Cryptography by A. Menezes, P. van Oorschot and S. Vanstone.
10 Ch. 1 Overview of Cryptography
1.3.2 ... subset of C.
Handbook of Applied Cryptography by A. Menezes, P. van Oorschot and S. Vanstone.
12 Ch. 1 Overview of Cryptography
• An encryption scheme consists of...
Tài liệu Handbook of Applied Cryptography - chap2 doc
... However,thesetZ
∗
n
(seeDefinition2.124)isagroup
of order φ(n) under the operation of multiplication modulo n, with identity element 1.
Handbook of Applied Cryptography by A. Menezes, P. van Oorschot and S. Vanstone.
48 Ch. 1 Overview of ... Z
∗
n
. If the order of α is φ(n),thenα is said to be a generator or a
primitive element of Z
∗
n
.IfZ
∗
n
has a generator, then Z
∗
n...
Tài liệu Handbook of Applied Cryptography - chap3 doc
... a square root of a
modulo n.
Handbook of Applied Cryptography by A. Menezes, P. van Oorschot and S. Vanstone.
102 Ch. 3 Number-Theoretic Reference Problems
If the factors p and q of n are known, ... also a generator of G.
Handbook of Applied Cryptography by A. Menezes, P. van Oorschot and S. Vanstone.
104 Ch. 3 Number-Theoretic Reference Problems
3.54 Note (generalizatio...
Tài liệu Handbook of Applied Cryptography - chap4 pptx
... expected degreeof the irreduciblefactorofleast degreeof a random
polynomial of degree m in Z
p
[x] is O(lg m). Hence for each choice of f(x), the expected
number of times steps 2.1 – 2.3 of Algorithm ... prime, the expected number of iterations before an element a of
order n −1 is selected is O(ln ln n); this follows since (n − 1)/φ(n − 1) < 6lnlnn for
Handbook of Applied...
Tài liệu Handbook of Applied Cryptography - chap5 pdf
... test.
5
A statistic is a function of the elements of a random sample; for example, the number of 0’s in a binary se-
quence is a statistic.
Handbook of Applied Cryptography by A. Menezes, P. van ... 5.7 on
the universality of the next-bit test is due to Yao [1258]. For a proof of Yao’s result, see
Kranakis [710] and §12.2 of Stinson [1178]. A proof of a generalization o...
Tài liệu Handbook of Applied Cryptography - chap6 pptx
... size, respectively. The size of table R depends on the desired
bitlength L of the keystream — each 1K byte of keystream requires 16 bytes of R.
Handbook of Applied Cryptography by A. Menezes, ... bits of k. If the bitlengths of k
1
and k are l
1
and l, respectively,
the attack demonstrates that the security level of the generator is 2
l
1
+2
l−l
1
, rather than 2
l
.
Ha...
Tài liệu Handbook of Applied Cryptography - chap7 ppt
... end of
the shift register as before.
Handbook of Applied Cryptography by A. Menezes, P. van Oorschot and S. Vanstone.
232 Ch. 7 Block Ciphers
(iv) OFB mode
The output feedback (OFB) mode of ... agrees with
the unicity distance estimate of Fact 7.35: for L =2, a history of length t =2yields 2
−16
expected false key hits.
Handbook of Applied Cryptography by A. Meneze...
Tài liệu Handbook of Applied Cryptography - chap8 doc
... A’s decryption machine is used instead of the hypothetical polynomial-
time algorithm for solving the SQROOT problem in the proof.
Handbook of Applied Cryptography by A. Menezes, P. van Oorschot ... generator α, in which case α and the description of multiplication in G need
not be published as part of the public key (cf. Note 8.20).
Handbook of Applied Cryptography by A...
