Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582845 | Finite Fields and Their Applications | 2014 | 17 Pages |
Abstract
In this paper, we address the problem of finding low cost addition–subtraction sequences for situations where a doubling step is significantly cheaper than a non-doubling one. One application of this setting appears in the computation of the final exponentiation step of the reduced Tate pairing defined on ordinary elliptic curves. In particular, we report efficient addition–subtraction sequences for the Kachisa–Schaefer–Scott family of pairing-friendly elliptic curves, whose parameters involve computing the multi-exponentiation of relatively large sequences of exponents with a size of up to 26 bits.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Juan E. Guzmán-Trampe, Nareli Cruz-Cortés, Luis J. Dominguez Perez, Daniel Ortiz-Arroyo, Francisco Rodríguez-Henríquez,