Abstract :
The codes discussed here, due to E. N. Gilbert, are capable of detecting and correcting certain bursts, i.e., errors which occur in clusters. In particular, it is shown that Gilbert´s burst-correcting cedes have capabilities beyond those previously recognized. D. A. Huffman´s graph-code formulation is used, which greatly facilitates the appreciation of the results. A cyclic code formulation is also given, and certain Gilbert codes are seen to be Fire codes.
