Information on Result #738436

Linear OA(4207, 216, F4, 143) (dual of [216, 9, 144]-code), using (u, u−v, u+v+w)-construction based on
  1. linear OA(464, 72, F4, 47) (dual of [72, 8, 48]-code), using
  2. linear OA(471, 72, F4, 71) (dual of [72, 1, 72]-code or 72-arc in PG(70,4)), using
  3. linear OA(472, 72, F4, 72) (dual of [72, 0, 73]-code or 72-arc in PG(71,4)), using

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4207, 216, F4, 142) (dual of [216, 9, 143]-code) [i]Strength Reduction
2Linear OA(4206, 215, F4, 142) (dual of [215, 9, 143]-code) [i]Truncation
3Linear OA(4204, 213, F4, 140) (dual of [213, 9, 141]-code) [i]
4Linear OOA(4207, 108, F4, 2, 143) (dual of [(108, 2), 9, 144]-NRT-code) [i]OOA Folding
5Linear OOA(4207, 72, F4, 3, 143) (dual of [(72, 3), 9, 144]-NRT-code) [i]