Optimal Subsystem Code Constructions
نویسندگان
چکیده
In this paper, a generic method to derive subsystem codes from existing subsystem codes is given that allows one to trade the dimensions of subsystem and co-subsystem while maintaining or improving the minimum distance. As a consequence, it is shown that all pure MDS subsystem codes are derived from MDS stabilizer codes. Furthermore, a simple construction of pure MDS subsystem codes is obtained that allows us to derive several classes of subsystem codes from RS codes. A fair comparison between subsystem and stabilizer codes are shown. Finally, two extension rules for subsystem codes are derived that allows one to derive longer and shorter subsystem codes.
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