Some results on NQR codes
In [5] Tiu and Wallace have constructed a new class of linear codes called Norm Quadratic Residue code C-p for p a prime of the form 4n + 1 and determined some of its properties. It was shown that dim C-p less than or equal to p. He further conjectured that dim C-p = p. In the present correspondence we show that similar construction works for primes of the form 4n - 1. We further show that dim C-p = p for any odd prime p and determine few elementary properties of these codes.
norm quadratic residue codes quadratic residues binary linear codes covering radius