The code defined by a tuple <math>(g,L)</math> has dimension at least <math>n-mt</math> and
Codedistance definedat byleast a<math>2t+1</math>, tuplethus it can encode messages of length at least <math>(g,L)n-mt</math> hasusing minimumcodewords distanceof size <math>2t+1n</math>,thuswhile itcorrecting canat correctleast <math>\left\lfloor \frac{(2t+1)-1}{2} \right\rfloor</math> errors in a word of size <math>n-mt</math> using codewords of size <math>n</math>. It also possesses a convenient [[parity-check matrix]] <math>H</math> in form
