Information on Result #634945

Linear OA(472, 80, F4, 51) (dual of [80, 8, 52]-code), using concatenation of two codes based on
  1. linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
  2. linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), 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(472, 80, F4, 50) (dual of [80, 8, 51]-code) [i]Strength Reduction
2Linear OA(472, 80, F4, 49) (dual of [80, 8, 50]-code) [i]
3Linear OA(471, 79, F4, 50) (dual of [79, 8, 51]-code) [i]Truncation
4Linear OA(470, 78, F4, 49) (dual of [78, 8, 50]-code) [i]
5Linear OA(468, 76, F4, 47) (dual of [76, 8, 48]-code) [i]
6Linear OA(463, 71, F4, 42) (dual of [71, 8, 43]-code) [i]
7Linear OA(4133, 140, F4, 92) (dual of [140, 7, 93]-code) [i]Juxtaposition
8Linear OA(4134, 141, F4, 93) (dual of [141, 7, 94]-code) [i]
9Linear OA(4135, 142, F4, 94) (dual of [142, 7, 95]-code) [i]
10Linear OA(4136, 143, F4, 95) (dual of [143, 7, 96]-code) [i]
11Linear OA(2223, 237, F2, 103) (dual of [237, 14, 104]-code) [i]Concatenation of Two Codes
12Linear OOA(472, 40, F4, 2, 51) (dual of [(40, 2), 8, 52]-NRT-code) [i]OOA Folding