A Note on Extending Certain Codes to Correct Error Bursts in Longer Messages

Given a burst-correcting code for short messages, it would seem practical and would be desirable to derive efficient codes for correcting the same types of bursts in longer messages. This note presents a simple method of constructing such codes, and supplies a geometric interpretation of the method. The Fire burst correcting codes
¹
are a special case of the class of codes presented here.