Information on Result #695091
Linear OA(2743, 19686, F27, 15) (dual of [19686, 19643, 16]-code), using construction X applied to Ce(14) ⊂ Ce(13) based on
- linear OA(2743, 19683, F27, 15) (dual of [19683, 19640, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2740, 19683, F27, 14) (dual of [19683, 19643, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(965, 19686, S9, 15) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(2750, 19714, F27, 15) (dual of [19714, 19664, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2751, 19724, F27, 15) (dual of [19724, 19673, 16]-code) | [i] | ||
| 4 | Linear OA(2752, 19734, F27, 15) (dual of [19734, 19682, 16]-code) | [i] | ||
| 5 | Linear OA(2753, 19742, F27, 15) (dual of [19742, 19689, 16]-code) | [i] | ||
| 6 | Linear OA(2754, 19752, F27, 15) (dual of [19752, 19698, 16]-code) | [i] | ||
| 7 | Linear OA(2755, 19794, F27, 15) (dual of [19794, 19739, 16]-code) | [i] | ||
| 8 | Linear OA(2756, 20418, F27, 15) (dual of [20418, 20362, 16]-code) | [i] | ||
| 9 | OA(2753, 19768, S27, 15) | [i] | ||
| 10 | OA(2754, 19786, S27, 15) | [i] | ||
| 11 | OA(2755, 19802, S27, 15) | [i] | ||
| 12 | Linear OOA(2743, 9843, F27, 2, 15) (dual of [(9843, 2), 19643, 16]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(2743, 2812, F27, 15, 15) (dual of [(2812, 15), 42137, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |