Information on Result #726850
Linear OA(2766, 732, F27, 35) (dual of [732, 666, 36]-code), using construction XX applied to C1 = C([727,32]), C2 = C([0,33]), C3 = C1 + C2 = C([0,32]), and C∩ = C1 ∩ C2 = C([727,33]) based on
- linear OA(2764, 728, F27, 34) (dual of [728, 664, 35]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,32}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2764, 728, F27, 34) (dual of [728, 664, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2766, 728, F27, 35) (dual of [728, 662, 36]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,33}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(2762, 728, F27, 33) (dual of [728, 666, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [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
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code) (see above)
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(2787, 796, F27, 35) (dual of [796, 709, 36]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2788, 800, F27, 35) (dual of [800, 712, 36]-code) | [i] | ||
| 3 | Linear OA(2789, 808, F27, 35) (dual of [808, 719, 36]-code) | [i] | ||
| 4 | Linear OA(2790, 814, F27, 35) (dual of [814, 724, 36]-code) | [i] | ||
| 5 | Linear OA(2791, 816, F27, 35) (dual of [816, 725, 36]-code) | [i] | ||
| 6 | Linear OA(2792, 820, F27, 35) (dual of [820, 728, 36]-code) | [i] | ||
| 7 | Linear OA(2793, 826, F27, 35) (dual of [826, 733, 36]-code) | [i] | ||
| 8 | Linear OA(2794, 828, F27, 35) (dual of [828, 734, 36]-code) | [i] | ||
| 9 | Linear OA(2795, 838, F27, 35) (dual of [838, 743, 36]-code) | [i] | ||
| 10 | Linear OA(2796, 841, F27, 35) (dual of [841, 745, 36]-code) | [i] | ||
| 11 | Linear OA(2797, 918, F27, 35) (dual of [918, 821, 36]-code) | [i] | ||
| 12 | Linear OA(2798, 1100, F27, 35) (dual of [1100, 1002, 36]-code) | [i] | ||
| 13 | OA(2789, 814, S27, 35) | [i] | ||
| 14 | Linear OA(2773, 754, F27, 35) (dual of [754, 681, 36]-code) | [i] | Varšamov–Edel Lengthening | |
| 15 | Linear OA(2774, 772, F27, 35) (dual of [772, 698, 36]-code) | [i] | ||
| 16 | Linear OA(2775, 803, F27, 35) (dual of [803, 728, 36]-code) | [i] | ||
| 17 | Linear OA(2776, 855, F27, 35) (dual of [855, 779, 36]-code) | [i] | ||
| 18 | Linear OA(2777, 928, F27, 35) (dual of [928, 851, 36]-code) | [i] | ||
| 19 | Linear OOA(2766, 366, F27, 2, 35) (dual of [(366, 2), 666, 36]-NRT-code) | [i] | OOA Folding | |