%0 Journal Article %T On conditions for ¦Ñ-value is 1 or not of complete family of pairing-friendly elliptic curves %A Keiji Okano %J Computer Science %D 2012 %I arXiv %X We study whether a complete family of pairing friendly elliptic curves has a \rho-value 1 or not. We show that, in some cases, \rho-values are not to be 1. %U http://arxiv.org/abs/1205.1646v1