Information on Result #695567
Linear OA(2756, 731, F27, 30) (dual of [731, 675, 31]-code), using construction X applied to Ce(29) ⊂ Ce(28) 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
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(2773, 779, F27, 30) (dual of [779, 706, 31]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2774, 783, F27, 30) (dual of [783, 709, 31]-code) | [i] | ||
| 3 | Linear OA(2775, 795, F27, 30) (dual of [795, 720, 31]-code) | [i] | ||
| 4 | Linear OA(2776, 799, F27, 30) (dual of [799, 723, 31]-code) | [i] | ||
| 5 | Linear OA(2777, 807, F27, 30) (dual of [807, 730, 31]-code) | [i] | ||
| 6 | Linear OA(2778, 813, F27, 30) (dual of [813, 735, 31]-code) | [i] | ||
| 7 | Linear OA(2779, 815, F27, 30) (dual of [815, 736, 31]-code) | [i] | ||
| 8 | Linear OA(2780, 819, F27, 30) (dual of [819, 739, 31]-code) | [i] | ||
| 9 | Linear OA(2781, 825, F27, 30) (dual of [825, 744, 31]-code) | [i] | ||
| 10 | Linear OA(2782, 839, F27, 30) (dual of [839, 757, 31]-code) | [i] | ||
| 11 | Linear OA(2783, 915, F27, 30) (dual of [915, 832, 31]-code) | [i] | ||
| 12 | Linear OA(2763, 752, F27, 30) (dual of [752, 689, 31]-code) | [i] | Varšamov–Edel Lengthening | |
| 13 | Linear OA(2764, 769, F27, 30) (dual of [769, 705, 31]-code) | [i] | ||
| 14 | Linear OA(2765, 800, F27, 30) (dual of [800, 735, 31]-code) | [i] | ||
| 15 | Linear OA(2766, 853, F27, 30) (dual of [853, 787, 31]-code) | [i] | ||
| 16 | Linear OA(2767, 932, F27, 30) (dual of [932, 865, 31]-code) | [i] | ||
| 17 | Linear OA(2768, 1036, F27, 30) (dual of [1036, 968, 31]-code) | [i] | ||
| 18 | Linear OOA(2756, 365, F27, 2, 30) (dual of [(365, 2), 674, 31]-NRT-code) | [i] | OOA Folding | |