Recently,Hu,et al.(2024)used simplicial complexes to construct a large family of projective linear codes over F_q.Motivated by their work,the authors construct an infinite family of linear codes with flexible paramete...Recently,Hu,et al.(2024)used simplicial complexes to construct a large family of projective linear codes over F_q.Motivated by their work,the authors construct an infinite family of linear codes with flexible parameters over F_(q)+u F_(q)(u^(2)=0)by employing simplicial complexes,and give their parameters.In addition,for the simplicial complexes of F_(qm)generated by one or two maximal elements,the authors determine their parameters and weight distributions,and further show that their Gray images are minimal and distance-optimal.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.12471490。
文摘Recently,Hu,et al.(2024)used simplicial complexes to construct a large family of projective linear codes over F_q.Motivated by their work,the authors construct an infinite family of linear codes with flexible parameters over F_(q)+u F_(q)(u^(2)=0)by employing simplicial complexes,and give their parameters.In addition,for the simplicial complexes of F_(qm)generated by one or two maximal elements,the authors determine their parameters and weight distributions,and further show that their Gray images are minimal and distance-optimal.
