Information on Result #642682
Linear OA(2784, 87, F27, 79) (dual of [87, 3, 80]-code), using juxtaposition 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(2759, 62, F27, 56) (dual of [62, 3, 57]-code), using
- juxtaposition [i] based on
- linear OA(2721, 24, F27, 21) (dual of [24, 3, 22]-code or 24-arc in PG(20,27)), using
- discarding factors / shortening the dual code based on linear OA(2721, 27, F27, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,27)), using
- Reed–Solomon code RS(6,27) [i]
- discarding factors / shortening the dual code based on linear OA(2721, 27, F27, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,27)), 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(2721, 24, F27, 21) (dual of [24, 3, 22]-code or 24-arc in PG(20,27)), 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(2784, 87, F27, 78) (dual of [87, 3, 79]-code) | [i] | Strength Reduction | |