摘要
Fong et al.analyzed variable-rate linear network coding for linear broadcast.However,the authors didn't investigate it for the other three types of linear network codes.In this paper,by simple and clear proofs,it is found that there are similar results for variable-rate linear generic and linear dispersion if the field size is large enough.It means that linear generics and linear dispersions of different dimensions can be implemented on the same network,while each non-source node is required to store only one copy of the local encoding kernel within a session.Moreover,an example is given to show that there isn't a similar result for linear multicast.
Fong et al.analyzed variable-rate linear network coding for linear broadcast.However,the authors didn＇t investigate it for the other three types of linear network codes.In this paper,by simple and clear proofs,it is found that there are similar results for variable-rate linear generic and linear dispersion if the field size is large enough.It means that linear generics and linear dispersions of different dimensions can be implemented on the same network,while each non-source node is required to store only one copy of the local encoding kernel within a session.Moreover,an example is given to show that there isn＇t a similar result for linear multicast.
基金
Sponsored by the National Natural Science Foundation of China and the Research Grants Council of Hong Kong Joint Research Scheme(Grant No.60731160626)
the National Natural Science Foundation of China(Grant No.60821001and61003287)
the 111 Project(Grant No.B08004)
the Fundamental Research Funds for the Central Universities(Grant No.BUPT2009RC0220)
