The shooter, Don Spirit, 51, had done time in prison on firearms violations in connection with the shooting death of his 8-year-old son during a 2001 hunting accident.
President Francois Hollande says the Rafale fighters "entirely destroyed" a logistics depot. His office said more air operations against Islamic State militants would be conducted in coming days.
At final count, the "no" votes won by a margin of 55 percent to 45 percent. The British prime minister said it had settled the question "for a generation."