“…Currently, there are only two general construction of superregular matrices and both require huge finite fields [1,2,8]. Some computer search algorithms to seek superregular matrices have been recently proposed [6,11,12]. However, many problems in the area remain open, as for instance, the minimum field size needed for the existence of a superregular matrix of a given size [14], although some conjectures have been proposed in the literature, see for instance [8].…”