The Frobenius expansion has been used to speed up scalar multiplication in hyperelliptic curves as it is used in elliptic curves. In this paper we propose a new Probenius expansion method for hyperelliptic curves that have efficiently computable endomorphisms used in Park, Jeong and Lim [l]. When our method is applied to scalar multiplication for hyperelliptic curves, the number of divisor doublings in a scalar multiplication is reduced to a quarter, while the number of divisor additions is almost the same. Our experiments show that the overall throughputs of scalar multiplications are increased by 15.6-28.3% over the previous algorithm, when the algorithms are implemented over finite fields of odd characteristics. © Springer-Verlag 2004.
CITATION STYLE
Park, T. J., Lee, M. K., & Park, K. (2004). Efficient Scalar Multiplication in Hyperelliptic Curves Using A New Frobenius Expansion. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2971, 152–165. https://doi.org/10.1007/978-3-540-24691-6_13
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