Abstract
The class of completely transitive linear binary codes was introduced in [8] and it is proved that they are completely regular linear codes.The completely regular binary propelinear codes, a class of completely regular codes, and the e-latticed (e≥3) distance regular graphs, a class of distance regular graphs, are related in [4] and [5].In this paper we generalize the completely transitive concept to the propelinear binary codes and we show that the class of completely transitive propelinear binary codes is isomorphic to a class of e-latticed distance regular graphs, the distance transitive graphs.
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