Information on Result #642688
Linear OA(2788, 91, F27, 83) (dual of [91, 3, 84]-code), using juxtaposition based on
- linear OA(2724, 27, F27, 24) (dual of [27, 3, 25]-code or 27-arc in PG(23,27)), using
- Reed–Solomon code RS(3,27) [i]
- linear OA(2761, 64, F27, 58) (dual of [64, 3, 59]-code), using
- juxtaposition [i] 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(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(2723, 26, F27, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,27)), 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(2788, 91, F27, 82) (dual of [91, 3, 83]-code) | [i] | Strength Reduction | |