Information on Result #642685
Linear OA(2786, 89, F27, 81) (dual of [89, 3, 82]-code), using juxtaposition based on
- linear OA(2723, 26, F27, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,27)), using
- discarding factors / shortening the dual code based on linear OA(2723, 27, F27, 23) (dual of [27, 4, 24]-code or 27-arc in PG(22,27)), using
- Reed–Solomon code RS(4,27) [i]
- discarding factors / shortening the dual code based on linear OA(2723, 27, F27, 23) (dual of [27, 4, 24]-code or 27-arc in PG(22,27)), using
- linear OA(2760, 63, F27, 57) (dual of [63, 3, 58]-code), using
- juxtaposition [i] based on
- linear OA(2722, 25, F27, 22) (dual of [25, 3, 23]-code or 25-arc in PG(21,27)), using
- discarding factors / shortening the dual code based on linear OA(2722, 27, F27, 22) (dual of [27, 5, 23]-code or 27-arc in PG(21,27)), using
- Reed–Solomon code RS(5,27) [i]
- discarding factors / shortening the dual code based on linear OA(2722, 27, F27, 22) (dual of [27, 5, 23]-code or 27-arc in PG(21,27)), using
- linear OA(2735, 38, F27, 34) (dual of [38, 3, 35]-code), using
- extended algebraic-geometric code AGe(F,3P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- linear OA(2722, 25, F27, 22) (dual of [25, 3, 23]-code or 25-arc in PG(21,27)), using
- juxtaposition [i] based on
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2786, 89, F27, 80) (dual of [89, 3, 81]-code) | [i] | Strength Reduction | |