This name is a synonym of Gymnocarpium jessoense subsp. parvulum Sarvela.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 26604891).
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:1139994-2.
This name was in version 1 of The Plant List, record tro-26604891.