Abstract
This paper introduces "twisted Edwards curves," a generalization of the recently introduced Edwards curves; shows that twisted Edwards curves include more curves over finite fields, and in particular every elliptic curve in Montgomery form; shows how to cover even more curves via isogenies; presents fast explicit formulas for twisted Edwards curves in projective and inverted coordinates; and shows that twisted Edwards curves save time for many curves that were already expressible as Edwards curves. © 2008 Springer-Verlag Berlin Heidelberg.
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CITATION STYLE
Bernstein, D. J., Birkner, P., Joye, M., Lange, T., & Peters, C. (2008). Twisted Edwards curves. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5023 LNCS, pp. 389–405). https://doi.org/10.1007/978-3-540-68164-9_26
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