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An improved method of multiplication on certain elliptic curves

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2002) 2274 310-322
DOI: 10.1007/3-540-45664-3_22
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Abstract

The Frobenius endomorphism is known to be useful in efficient implementation of multiplication on certain elliptic curves. In this note a method to minimize the length of the Frobenius expansion of integer multiplier, ellipticc urves defined over small finite fields, is introduced. It is an optimization of previous works by Solinas and M¨uller. Finally, experimental results are presented and compared with curves recommended in standards by time-performance of multiplication.

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Park, Y. H., Oh, S., Lee, S., Lim, J., & Sung, M. (2002). An improved method of multiplication on certain elliptic curves. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2274, pp. 310–322). Springer Verlag. https://doi.org/10.1007/3-540-45664-3_22

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