This zip file contains four table files. 1. data file1 is the raw data of the recognition rates of single mode LG beams and superimposed mode LG beams at different turbulence intensities. 2. data file2 is the raw data of the BER of single mode LG beam OAM-SK communication system and superimposed mode LG beam OAM-SK communication system at different turbulence intensities. 3. data file3 is the raw data of the BER of single mode LG beam OAM-SK communication system and superimposed mode LG beam OAM-SK communication system at different temperature salinity ratio. 4. data file4 is the raw data of the BER of LG beam OAM-SK communication system under different mode intervals.