The mid-morning attack wounded nine people, including three of the soldiers, who were building a bridge about 10 kilometers (5 miles) west of Kabul , said Zemeri Bashary, the Interior Ministry spokesman.
Three school children were killed in the blast, said Abdul Razaq, the chief government official in the Paghman area, where the bombing occurred.
Razaq said only the legs of the suicide bomber were left behind after the bombing.
Afghanistan has seen more than 130 suicide attacks this year - a record number. More than 5,800 people have died this year in insurgency-related violence, also a record, according to figures from Afghan and Western officials.
Putin's official spokesman Dmitry Peskov commented on remarks in the US media about failures in launching nuclear-capable missiles in Russia
The Buk system that shot down MH17 belonged to the 53rd SAM missile brigade of the Russian Ministry of Defense, investigators say after looking at a few pictures on the net
It has long been understood that the West has been trying to subject Russian borders to total control. We have not seen such activity even during the Cold War