In this paper we use the Hessian form of an elliptic curve and show that it offers some performance advantages over the standard representation. In particular when a processor allows the evaluation of a number of field multiplications in parallel (either via separate ALU’s, a SIMD type operation or a pipelined multiplication unit) one can obtain a performance advantage of around forty percent.
CITATION STYLE
Smart, N. P. (2001). The hessian form of an elliptic curve. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2162, pp. 118–125). Springer Verlag. https://doi.org/10.1007/3-540-44709-1_11
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