The octacode is the length-eight quaternary Preparata code. It is a linear code over the ring , with 256 codewords,
rather than a linear code over the finite
field
(Maharaj 2026).
Maharaj (2026) proved that its minimum Hamming distance is four and its Hamming covering radius is two. It is therefore a quasi-perfect
code. As a covering code, it gives ,
improving the previous upper bound 352. The covering density is
.