We discuss
![[2(p + 1), p + 1]](/images/tex/5757.gif)
double circulant codes which are the ternary images of the
![[p + 1,(p + 1)/2]](/images/tex/5758.gif)
extended quadratic residue codes over GF

. Here

is a prime of the form

. As a special result we obtain a
![[64, 32,18]](/images/tex/5761.gif)
ternary self-dual code which is the largest known code meeting the bound of Mallows and Sloane.