Home/Algebra/Linear codes and error correction/Rate of a linear code28. Linear codes and error correctionRate of a linear codeLevel: avanzadoIn 28. Linear codes and error correctionFormulaCopy LaTeXR=kn.R=\frac{k}{n}.R=nk.Tagsalgebracodeslinear codesCSalgebra formulaDetailFraction of symbols in the encoded word that represent independent information.Explore the ideaFound an error? Contact us.Related formulasRelatedLinear code over a finite fieldC≤Fqn.C\le \mathbb F_q^n.C≤Fqn.Open formulaOpen in sectionRelatedMinimum distance, detection, and correctiondmin=minc1≠c2dH(c1,c2).d_{\min} = \min_{\mathbf c_1\neq\mathbf c_2} d_H(\mathbf c_1,\mathbf c_2).dmin=c1=c2mindH(c1,c2).Open formulaOpen in section