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... consumption of the
FPGA device during the execution of a cryptographic operation. Thereafter,
that power consumption can be analyzed in an effort for finding regions in
the power consumption ...
registers.
On the contrary, in hardware description languages, the same instruction
can be implemented almost for free, just caring for language notations. One
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... representation. Once again, let us consider the same example
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204 7. Reconfigurable Hardware Implementation of Hash Functions ... purchase PDF Split-Merge on www.verypdf.com to remove this watermark.
190 7. Reconfigurable Hardware Implementation of Hash Functions
digest or hash value. The main applicatio...
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... G 1P2
H- GQPIP2
+ C0P0P 1P2,
C4
- Ca +
G2P3
+
G1P2P3
+
GQP1P2P3
+
C0P0P1P2P3.
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5.1 Addition Operation 95
The ... for exponentiation, modular multiplication, modular addition, and ad-
dition operations. We intend to cover mathematical and algorithmic aspects of
the modular exponentiation operation, pr...
... exponentiation, i.e., the computation
of M^ mod n. Using one of the addition chain algorithms given in §5.4, we
replace the exponentiation operation by a series of square and multiplication ...
1
0
Step 5
MonPro(3,3) = 3
MonPro(8,8) = 4
MonPro(4,4) = 1
MonPro(7,7) = 12
Step 7
MonPro(8,3) = 8
MonPro(8,l) = 7
o Computation of MonPro(3,3) = 3: o Computation of MonPro(8,3) = 8: ......
... inverse, di-
vision and exponentiation.
Addition and subtraction are equivalent operations in GF{2'^). Addition
in binary finite fields is defined as polynomial addition and can be imple-
mented ... of k.
A sliding window exponentiation algorithm is typically divided into two
phases: exponent partitioning and the field exponentiation computation
itself.
Addition chains are formally...
...
Among customary finite field arithmetic operations, namely, addition, sub-
traction, multiplication and inversion
of
nonzero elements,
the
computation
of the later
is
the most time-consuming ...
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6.3 Multiplicative Inverse 179
addition chain U) and one field multiplication per iteration. Thus, we con-
cl...
... more details on the security offered by contemporary reconfigurable
hardware devices.
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8.3 The Data Encryption Standard ... expansion permutation
(Permutation E).
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8.3 The Data Encryption Standard 235
Table 8.2. Initial Permut...
... Depending on the application
specification, the AES implementation can be carried out for just encryption,
encryption/decryption on the same chip, separate encryption and decryption
cores,
...
designs for encryption and decryption would result in high area requirements.
Prom Section 9.2.4, we know that only one MI transformation in addition
to AF and lAF transformations is required...