Four Dimensional Optimal Binary Self-orthogonal Codes and Their Construction
HE Xiao-jun · Journal of Air Force Engineering University · 2007
The relation between the length and the minimum distance of four dimensional binary self-orthogonal codes are discussed.The nonexistence of self-orthogonal codes with parameters [ 15m + 5,4,8m + 2 ] and that with parameters [ 15m + 12,4,8m + 6 ] are proved,thus for each n ≥ 8,the minimum distance dso of optimal self-orthogonal is determined.At last,for each n≥ 8 a generator matrix that generates a [n,4,dso(n) ] self-orthogonal code is presented,and their weight polynomials are determined.