Boko Haram wants 19 of its fighters released in return for 20 of the girls it has been holding since April.
The Daily Telegraph said the list contains a former spokesman for the group, Abu Qaqa, and spiritual advisor Mallam Bashir.
It is thought the list mostly features middle-ranking members of the terrorist organisation; a sign that it is being realist about its demands.
The group has named the 20 girls it will release if its fighters are freed.
Ten of the pupils will be Christian and the other ten Muslim.
So far, negotiations between Boko Haram and the Nigerian government have failed.