Information on Result #866295
Linear OOA(2754, 365, F27, 2, 29) (dual of [(365, 2), 676, 30]-NRT-code), using OOA 2-folding based on linear OA(2754, 730, F27, 29) (dual of [730, 676, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(2754, 729, F27, 29) (dual of [729, 675, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2753, 729, F27, 28) (dual of [729, 676, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 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 OOA(2755, 365, F27, 2, 29) (dual of [(365, 2), 675, 30]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2768, 393, F27, 2, 29) (dual of [(393, 2), 718, 30]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(2769, 403, F27, 2, 29) (dual of [(403, 2), 737, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(2770, 413, F27, 2, 29) (dual of [(413, 2), 756, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(2771, 417, F27, 2, 29) (dual of [(417, 2), 763, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(2772, 429, F27, 2, 29) (dual of [(429, 2), 786, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(2773, 433, F27, 2, 29) (dual of [(433, 2), 793, 30]-NRT-code) | [i] | ||
| 8 | Linear OOA(2774, 441, F27, 2, 29) (dual of [(441, 2), 808, 30]-NRT-code) | [i] | ||
| 9 | Linear OOA(2775, 447, F27, 2, 29) (dual of [(447, 2), 819, 30]-NRT-code) | [i] | ||
| 10 | Linear OOA(2776, 449, F27, 2, 29) (dual of [(449, 2), 822, 30]-NRT-code) | [i] | ||
| 11 | Linear OOA(2777, 453, F27, 2, 29) (dual of [(453, 2), 829, 30]-NRT-code) | [i] | ||
| 12 | Linear OOA(2778, 459, F27, 2, 29) (dual of [(459, 2), 840, 30]-NRT-code) | [i] | ||
| 13 | Linear OOA(2779, 461, F27, 2, 29) (dual of [(461, 2), 843, 30]-NRT-code) | [i] | ||
| 14 | Linear OOA(2780, 467, F27, 2, 29) (dual of [(467, 2), 854, 30]-NRT-code) | [i] | ||
| 15 | OOA(2773, 447, S27, 2, 29) | [i] | ||
| 16 | OOA(2774, 465, S27, 2, 29) | [i] | ||
| 17 | Digital (25, 54, 283)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |