In this paper we describe an efficient algorithm for multiplication in F2m, where the field elements of F2m are represented in standard polynomial basis. The proposed algorithm can be used in practical software implementations of elliptic curve cryptography. Our timing results, on several platforms, show that the new method is significantly faster than the “shift-and-add” method.
CITATION STYLE
L´Opez, J., & Dahab, R. (2000). High-speed software multiplication in F2m. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1977, pp. 203–212). Springer Verlag. https://doi.org/10.1007/3-540-44495-5_18
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