Srivastava code[1,2] 

A special case of a generalized Srivastava code for \(z_j = \alpha_j^{\mu}\) for some \(\mu\) and \(t=1\).

The code's parity-check matrix is \begin{align} H=\begin{pmatrix}\frac{\alpha_{1}^{\mu}}{\alpha_{1}-w_{1}} & \frac{\alpha_{2}^{\mu}}{\alpha_{2}-w_{1}} & \cdots & \frac{\alpha_{n}^{\mu}}{\alpha_{n}-w_{1}}\\ \frac{\alpha_{1}^{\mu}}{\alpha_{1}-w_{2}} & \frac{\alpha_{2}^{\mu}}{\alpha_{1}-w_{2}} & \cdots & \frac{\alpha_{n}^{\mu}}{\alpha_{n}-w_{2}}\\ \vdots & \vdots & \ddots & \vdots\\ \frac{\alpha_{1}^{\mu}}{\alpha_{1}-w_{s}} & \frac{\alpha_{2}^{\mu}}{\alpha_{2}-w_{s}} & \cdots & \frac{\alpha_{n}^{\mu}}{\alpha_{n}-w_{s}} \end{pmatrix}~. \tag*{(1)}\end{align}