In 1998 Claude Carlet derived generalized Kerdock andDelsarte-Goethals codes as the binary image of linear codes over Z2k under thegeneralized Gray map.

• 1998年ClaudeCarlet通过Gray映射将Z2k上的线性码映射成Z2上的非线性码；得到了广义Kerdock码和Delsarte ? Goethals码.