ON SOME ERROR-CORRECTING LINEAR CODES
N. S. DARKUNDE *
School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded, Maharashtra, India
A. R. PATIL
Department of Mathematics, Shri Guru Gobind Singhji Institute of Engineering and Technology, Nanded, India.
*Author to whom correspondence should be addressed.
Abstract
We are going to study some linear codes especially The Reed-Muller Codes R(1; 2) , R(1; 3) and the self-dual (8; 4) code C. In whole discussion, we will restrict ourselves to nite eld with two elements
We are going to comment about error correcting capability of these codes via the use of Gröbner basis technique.
Keywords: Linear codes, Gröbner basis, Reed-Muller code