Elliptic curve is a major area of research due to its application in elliptic curve cryptography. Due to their small key sizes, they offer the twofold advantage of reduced storage and transmission requirements. This a...
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ISBN:
(数字)9781665414845
ISBN:
(纸本)9781665430593
Elliptic curve is a major area of research due to its application in elliptic curve cryptography. Due to their small key sizes, they offer the twofold advantage of reduced storage and transmission requirements. This also results in faster execution times. The authors propose an architecture to automatically generate test cases, for verification of elliptic curve operational circuits, based on user-defined prime field and the parameters used in the circuit to be tested. The ECC test case generations are based on the Galois field arithmetic operations which were the subject of previous work by the authors. One of the strengths of elliptic curve mathematics is its simplicity, which involves just three points (P, Q, and R), which pass through a line on the curve. The test cases generate points for a user-defined prime field which sequentially selects the input vector points (P and/or Q), to calculate the resultant output vector (R) easily. The testbench proposed here targets fieldprogrammablegate array (FPGAs) platforms and experimental results for ECC test case generation on different prime fields are presented, while ModelSim is used to validate the correctness of the ECC operations.
This paper presents a designing scheme of high-speed real-time serial pipelined Fast Fourier Transform (FFT) processor on FPGA which is based on Coordinate Rotation Digital Computer (CORDIC) algorithm. The CORDIC algo...
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ISBN:
(纸本)9781467387811
This paper presents a designing scheme of high-speed real-time serial pipelined Fast Fourier Transform (FFT) processor on FPGA which is based on Coordinate Rotation Digital Computer (CORDIC) algorithm. The CORDIC algorithm will reduce the hardware complexity compared to the direct implementation of the butterflies using complex multipliers. Moreover, the design uses the butterflies of the radix-2 Decimation-In-Time (DIT) algorithm, the dual-port RAM and the pipelined structure, which will sufficiently increase the performances of the FFT processor. The simulation results show that compared with the same type of real-time FFT processor, the scheme presented in this paper reduces the hardware resource requirements of Adaptive Look-up Tables (ALUTs) and increase the Signal Noise Ratio (SNR) by about 25dB.
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