Codes Induced by Alternative Codes

Alternative codes, an extension of the notion of ordinary codes, have been first introduced and considered by Huy and Nam ( 2004 ). As seen below, every alternative code, in its turn, defines an ordinary code. Such codes are called codes induced by alternative codes or alt-induced codes, for short. In this paper, we consider these alt-induced codes and subclasses of them. In particular, characteristic properties of such codes are established, and an algorithm to check whether a finite code is alt-induced or not is proposed.