Information on Result #634948

Linear OA(474, 80, F4, 55) (dual of [80, 6, 56]-code), using concatenation of two codes based on
  1. linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), 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(474, 80, F4, 54) (dual of [80, 6, 55]-code) [i]Strength Reduction
2Linear OA(473, 79, F4, 54) (dual of [79, 6, 55]-code) [i]Truncation
3Linear OA(472, 78, F4, 53) (dual of [78, 6, 54]-code) [i]
4Linear OA(471, 77, F4, 52) (dual of [77, 6, 53]-code) [i]
5Linear OA(4153, 158, F4, 111) (dual of [158, 5, 112]-code) [i]Repeating Each Code Word
6Linear OA(4124, 130, F4, 88) (dual of [130, 6, 89]-code) [i]Juxtaposition
7Linear OA(4125, 131, F4, 89) (dual of [131, 6, 90]-code) [i]
8Linear OA(4126, 132, F4, 90) (dual of [132, 6, 91]-code) [i]
9Linear OA(4137, 143, F4, 99) (dual of [143, 6, 100]-code) [i]
10Linear OA(4126, 131, F4, 91) (dual of [131, 5, 92]-code) [i]
11Linear OA(2227, 237, F2, 111) (dual of [237, 10, 112]-code) [i]Concatenation of Two Codes
12Linear OOA(474, 40, F4, 2, 55) (dual of [(40, 2), 6, 56]-NRT-code) [i]OOA Folding