Information on Result #695073
Linear OA(2780, 19687, F27, 28) (dual of [19687, 19607, 29]-code), using construction X applied to Ce(27) ⊂ Ce(25) based on
- linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2776, 19683, F27, 26) (dual of [19683, 19607, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(271, 4, F27, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2779, 19686, F27, 27) (dual of [19686, 19607, 28]-code) | [i] | Truncation | |
| 2 | OA(9120, 19687, S9, 28) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(27101, 19769, F27, 28) (dual of [19769, 19668, 29]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(27104, 19794, F27, 28) (dual of [19794, 19690, 29]-code) | [i] | ||
| 5 | OA(27100, 19787, S27, 28) | [i] | ||
| 6 | OA(27102, 19803, S27, 28) | [i] | ||
| 7 | OA(27104, 19837, S27, 28) | [i] | ||
| 8 | Linear OOA(2780, 9843, F27, 2, 28) (dual of [(9843, 2), 19606, 29]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2780, 1406, F27, 28, 28) (dual of [(1406, 28), 39288, 29]-NRT-code) | [i] | OA Folding and Stacking | |