Repeated Burst Error Detecting and Correcting Codes

The book "Repeated Burst Error Detecting and Correcting Codes" is based on the doctoral thesis of the author Rashmi Verma, conducted at the Department of Mathematics at the University of Delhi, India. It addresses the topic of repeated burst errors that can occur in data transmission. This type of error varies depending on the channel type and the specific errors that arise during data transmission. The work introduces new concepts and discusses codes capable of detecting and correcting repeated burst errors. It also examines the limits on the number of parity check digits required for linear codes that can detect and correct these errors. Additionally, an algorithm for constructing a parity check digit matrix suitable for correcting repeated burst errors is presented. Research in this area is significant from both mathematical and practical perspectives, as the development of such codes can greatly enhance the efficiency of channels already dealing with multiple burst errors.