TY - JOUR
T1 - Low-cost addition-subtraction sequences for the final exponentiation computation in pairings
AU - Guzmán-Trampe, Juan E
AU - Cruz-Cortéz, Nareli
AU - Dominguez Perez, Luis
AU - Ortiz-Arroyo, Daniel
AU - Rodríguez-Henríquez, Francisco
PY - 2014
Y1 - 2014
N2 - 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.
AB - 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.
U2 - 10.1016/j.ffa.2014.02.009
DO - 10.1016/j.ffa.2014.02.009
M3 - Journal article
SN - 1071-5797
VL - 29
SP - 1
EP - 17
JO - Finite Fields and Their Applications
JF - Finite Fields and Their Applications
ER -