Information on Result #866370
Linear OOA(2756, 365, F27, 2, 30) (dual of [(365, 2), 674, 31]-NRT-code), using OOA 2-folding based on linear OA(2756, 730, F27, 30) (dual of [730, 674, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(2756, 731, F27, 30) (dual of [731, 675, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(2756, 729, F27, 30) (dual of [729, 673, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(270, 2, F27, 0) (dual of [2, 2, 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
- construction X applied to Ce(29) ⊂ Ce(28) [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 OOA(2771, 393, F27, 2, 30) (dual of [(393, 2), 715, 31]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2772, 403, F27, 2, 30) (dual of [(403, 2), 734, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(2773, 413, F27, 2, 30) (dual of [(413, 2), 753, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(2774, 417, F27, 2, 30) (dual of [(417, 2), 760, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(2775, 429, F27, 2, 30) (dual of [(429, 2), 783, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(2776, 433, F27, 2, 30) (dual of [(433, 2), 790, 31]-NRT-code) | [i] | ||
| 7 | Linear OOA(2777, 441, F27, 2, 30) (dual of [(441, 2), 805, 31]-NRT-code) | [i] | ||
| 8 | Linear OOA(2778, 447, F27, 2, 30) (dual of [(447, 2), 816, 31]-NRT-code) | [i] | ||
| 9 | Linear OOA(2779, 449, F27, 2, 30) (dual of [(449, 2), 819, 31]-NRT-code) | [i] | ||
| 10 | Linear OOA(2780, 453, F27, 2, 30) (dual of [(453, 2), 826, 31]-NRT-code) | [i] | ||
| 11 | Linear OOA(2781, 459, F27, 2, 30) (dual of [(459, 2), 837, 31]-NRT-code) | [i] | ||
| 12 | Linear OOA(2782, 461, F27, 2, 30) (dual of [(461, 2), 840, 31]-NRT-code) | [i] | ||
| 13 | Linear OOA(2783, 467, F27, 2, 30) (dual of [(467, 2), 851, 31]-NRT-code) | [i] | ||
| 14 | OOA(2776, 447, S27, 2, 30) | [i] | ||
| 15 | Digital (26, 56, 293)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |