  Recently, a class of quantum secret sharing schemes called communication
efficient quantum threshold secret sharing schemes (CE-QTS) was introduced.
These schemes reduced the communication cost during secret recovery. In this
paper, we introduce a general class of communication efficient quantum secret
sharing schemes (CE-QSS) which include both threshold and non-threshold
schemes. We propose a framework for constructing CE-QSS schemes to generalize
the earlier construction of CE-QTS schemes which was based on the staircase
codes. The main component in this framework is a class of quantum codes which
we call the extended Calderbank-Shor-Steane codes. These extended CSS codes
could have other applications. We derive a bound on communication cost for
CE-QSS schemes. Finally, we provide a construction of CE-QSS schemes meeting
this bound using the proposed framework.
