Information on Result #695072
Linear OA(2782, 19686, F27, 29) (dual of [19686, 19604, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) based on
- linear OA(2782, 19683, F27, 29) (dual of [19683, 19601, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 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(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-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(2783, 19687, F27, 29) (dual of [19687, 19604, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | OA(9123, 19686, S9, 29) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(27100, 19750, F27, 29) (dual of [19750, 19650, 30]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(27101, 19754, F27, 29) (dual of [19754, 19653, 30]-code) | [i] | ||
| 5 | Linear OA(27102, 19762, F27, 29) (dual of [19762, 19660, 30]-code) | [i] | ||
| 6 | Linear OA(27103, 19768, F27, 29) (dual of [19768, 19665, 30]-code) | [i] | ||
| 7 | Linear OA(27104, 19770, F27, 29) (dual of [19770, 19666, 30]-code) | [i] | ||
| 8 | Linear OA(27105, 19774, F27, 29) (dual of [19774, 19669, 30]-code) | [i] | ||
| 9 | Linear OA(27106, 19793, F27, 29) (dual of [19793, 19687, 30]-code) | [i] | ||
| 10 | Linear OA(27107, 19796, F27, 29) (dual of [19796, 19689, 30]-code) | [i] | ||
| 11 | Linear OA(27108, 19872, F27, 29) (dual of [19872, 19764, 30]-code) | [i] | ||
| 12 | OA(27101, 19768, S27, 29) | [i] | ||
| 13 | OA(27102, 19786, S27, 29) | [i] | ||
| 14 | OA(27104, 19802, S27, 29) | [i] | ||
| 15 | OA(27105, 19804, S27, 29) | [i] | ||
| 16 | OA(27106, 19836, S27, 29) | [i] | ||
| 17 | Linear OOA(2782, 9843, F27, 2, 29) (dual of [(9843, 2), 19604, 30]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(2782, 1406, F27, 29, 29) (dual of [(1406, 29), 40692, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |