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Bit-parallel coprocessor for standard ECC-GF(2m) on FPGA
(2013)
This paper presents the design of a high-speed coprocessor for Elliptic Curve Cryptography over binary Galois Field (ECC- GF(2m)). The purpose of our coprocessor is to accelerate the scalar multiplication performed over ...
A single formula and its implementation in FPGA for elliptic curve point addition using affine representation
(World Scientific Publishing Company, 2010)
A single formula and its implementation in FPGA for elliptic curve point addition using affine representation
(World Scientific Publishing Company, 2010)
Same value analysis on Edwards curves
(2020)
Recently, several research groups in cryptography have presented new elliptic curve models based on Edwards curves. These new curves were selected for their good performance and security perspectives. Cryptosystems based ...
Some advances in a conjecture of Watkins and an analogue over function fields
(2023)
Our results are divided into two main parts, both related to a conjecture by Watkins. In 2002, Watkins conjectured that the rank of an elliptic curve defined over Q is at most the 2-adic valuation of its modular degree. ...