Jones won gold in the 100m, 200m and 4x400m relay as well as bronzes in the long jump and 4x100m relay, at the Sydney Olympics in 2000.
She admitted using a steroid between September 2000 and July 2001.
The Russian government allegedly operated a planned doping programme for four years across the "vast majority" of summer and winter Olympic sports, leading up to the 2012 London Summer Olympics and the 2014 Sochi Winter Olympics.
This article outlines how the scam worked.
Banning a country from competing is a complex issue. Russian athletes have been banned from competing under the Russian flag in various ways since 1992.