International Journal of Engineering, Science and Mathematics
  • Year: 2018
  • Volume: 7
  • Issue: 5

A Construction of GTRS Code

  • Author:
  • B.S. Brar
  • Total Page Count: 11
  • Page Number: 102 to 112

Department of Applied Sciences, Baba Farid College of Engineering and Technology, Bathinda, Punjab (India)

Online published on 4 May, 2019.

Abstract

The length of the GRS code is enlarged in relation to the increasing of the columns of the systematic generator GC matrix, thereby transmission of the information becoming more safe. A new GTRS code is constructed having enlarged length and having both enlarged length and increased number of message-symbols, thereby making transmission of the information more safe; increasing the number of message-symbols to be transmitted; and increasing the number of codewords within the code resulting in enhancing the utility of the code.

Keywords

MDS code, RS code, GRS code, GDRS code, GTRS code, systematic generator matrix, non-singular matrix, finite field