Information on Result #695071
Linear OA(2785, 19686, F27, 30) (dual of [19686, 19601, 31]-code), using construction X applied to Ce(29) ⊂ Ce(28) based on
- linear OA(2785, 19683, F27, 30) (dual of [19683, 19598, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(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 | OA(9128, 19686, S9, 30) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(27104, 19750, F27, 30) (dual of [19750, 19646, 31]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(27105, 19754, F27, 30) (dual of [19754, 19649, 31]-code) | [i] | ||
| 4 | Linear OA(27106, 19762, F27, 30) (dual of [19762, 19656, 31]-code) | [i] | ||
| 5 | Linear OA(27107, 19768, F27, 30) (dual of [19768, 19661, 31]-code) | [i] | ||
| 6 | Linear OA(27108, 19770, F27, 30) (dual of [19770, 19662, 31]-code) | [i] | ||
| 7 | Linear OA(27109, 19774, F27, 30) (dual of [19774, 19665, 31]-code) | [i] | ||
| 8 | Linear OA(27110, 19780, F27, 30) (dual of [19780, 19670, 31]-code) | [i] | ||
| 9 | OA(27105, 19768, S27, 30) | [i] | ||
| 10 | OA(27107, 19786, S27, 30) | [i] | ||
| 11 | OA(27108, 19802, S27, 30) | [i] | ||
| 12 | OA(27109, 19804, S27, 30) | [i] | ||
| 13 | Linear OOA(2785, 9843, F27, 2, 30) (dual of [(9843, 2), 19601, 31]-NRT-code) | [i] | OOA Folding | |