Based on the idea of hypercube constellation and code theory

two kinds of relay-coding matrix are designed for multi-user single relay model

that provide the schemes for resolving how to enhance the performance of relay transmission in wireless communication.The performance of system with different relay-codes are deduced

compared with the system without relay-codes through simulation

the result shows that additional gain can be achieved and the relay-code based on code theory has performance advantage.Compared with system without relay-code

the additional complexity of two relay-coded systems are analyzed.The analysis result shows that the relay-code based on hypercube constellation has advantage on additional complexity when some condition is satisfied.