A [9, 3] TERNARY LINEAR CODE

Partha Pratim Dey (Bangladesh)

Received December 14, 2007

Abstract

In this paper, we report a [9, 3] ternary linear code C. Except for and each of its code-words has equal number of zero-bits, one-bits and two-bits, a property that makes in most cases error detection a simple task of counting bits of various kinds. We discuss the generator and parity check matrices of C and explore its error correction capabilities. The relative superiority of C over the ternary [9, 3] repetition code in terms of error correction is also discussed.

Keywords and phrases: linear code, error-correcting code, generator matrix, parity check matrix.