... 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...
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... 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: ......
...
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 ... Operations
In this Section we briefly describe some important binary finite field arith-
metic operations such as, the computation of the trace function, the half trace
function and binary e...
...
Xilinx Foundation Series F4.1i. The design tool provides two options for de-
sign testing and verification: functional simulation and timing verification.
Functional verification tests the logical ...
7.7 Conclusions
In this chapter, various popular hash algorithms were described. The main em-
phasis on that description was made on evaluating hardware implementation
aspects of hash...
... multiplications,
• Scalar multiplication apphed on Hessian elliptic curves.
• Montgomery Scalar Multiplication apphed on Weierstrass elliptic curves.
• Scalar multiplication applied on Koblitz ...
Notice also that both expressions for xs and 1/3 in affine coordinates include
one inversion operation. Although this conversion procedure must be per-
formed only once in the final step,...
... Modular Exponentiation. In E. Ankan,
editor, Communication, Control, and Signal Processing: Proceedings of 1990
Bilkent International Conference on New Trends in Communication, Control,
and ... Modular Multiplication on FPGAs. In T. Rissa,
S. J. E. Wilton, and P. H. W. Leong, editors. Proceedings of the 2005 In-
ternational Conference on Field Programmable Logic and Applications (FP...
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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 ... interconnec-
tions with their neighbors.
Considering FPGA capabilities and limitations some potential applications
for FPGAs are:
1.
Image processing algorithms such as point type operation...