2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142021The problem of constructing elliptic curves suitable for pairing applications has received a lot of attention. To solve this, we propose a variant algorithm of a known method by Brezing and Weng. We produce new families of parameters using our algorithm for pairing-friendly elliptic curves of embedding degree 8, and we actually compute some explicit curves as numerical examples.Number Theory11Y40More constructing pairing-friendly elliptic curves for cryptographytext