Calculating the dimensions of hull of linear codes is significant for deter-mining the complexity of some algorithms over finite fields and constructing entangle-ment-assisted quantum error-correcting codes.In this paper,the dimension of the hull of a linear code derived from the(a+x,b+x,a+b+x)-construction over F2 and the(u+v+w,2u+v,u)-construction over F3 are studied.The asymptotics of the families of self-orthogonal codes and linear complementary dual codes obtained from these two constructions are determined.Some optimal or almost optimal linear codes with an explicit hull dimension and self-orthogonal codes are obtained.
Linear codeshullself-orthogonal codeslinear complementary dual(LCD)codesasymptotic
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