Information on Result #695088
Linear OA(2749, 19686, F27, 17) (dual of [19686, 19637, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
- linear OA(2749, 19683, F27, 17) (dual of [19683, 19634, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2746, 19683, F27, 16) (dual of [19683, 19637, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(974, 19686, S9, 17) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(2758, 19724, F27, 17) (dual of [19724, 19666, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2759, 19734, F27, 17) (dual of [19734, 19675, 18]-code) | [i] | ||
| 4 | Linear OA(2760, 19738, F27, 17) (dual of [19738, 19678, 18]-code) | [i] | ||
| 5 | Linear OA(2761, 19750, F27, 17) (dual of [19750, 19689, 18]-code) | [i] | ||
| 6 | Linear OA(2762, 19754, F27, 17) (dual of [19754, 19692, 18]-code) | [i] | ||
| 7 | Linear OA(2763, 19870, F27, 17) (dual of [19870, 19807, 18]-code) | [i] | ||
| 8 | Linear OA(2764, 20418, F27, 17) (dual of [20418, 20354, 18]-code) | [i] | ||
| 9 | OA(2760, 19768, S27, 17) | [i] | ||
| 10 | OA(2761, 19786, S27, 17) | [i] | ||
| 11 | Linear OOA(2749, 9843, F27, 2, 17) (dual of [(9843, 2), 19637, 18]-NRT-code) | [i] | OOA Folding | |