A modified block code using controllability of linear system

This article focuses on developing the connection between the solution of Discrete Time State Equation and error correcting codes. A modified block code is proposed from the solution of Discrete time state equation. We also established that for such a generated code, multiple errors can be corrected. The key idea behind generating such a code is dependent on the well-known theory that it is always possible to steer the initial state of the system to the origin at the nth instant of sampling.