Bulletin of Pure & Applied Sciences- Mathematics and Statistics

  • Year: 2017
  • Volume: 36e
  • Issue: 1

Bounds on Parity Check of Linear Codes Detecting Repeated Solid Bursts

Department of Mathematical Sciences, Tezpur University, Napaam, Sonitpur, Assam-784028 (India)

Abstract

The paper presents lower and upper bounds for linear codes detecting two types of repeated solid burst error. Simultaneous detection and correction of such errors are also studied. An example of such a code is provided. Further, we also obtain some improvement/correction of previous results dealing with repeated solid burst error.

Keywords

Linear codes, parity check digits, syndromes, solid bursts, cosets