Information on Result #695087
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
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(2752, 19686, F27, 18) (dual of [19686, 19634, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2749, 19686, F27, 17) (dual of [19686, 19637, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(2760, 19694, F27, 20) (dual of [19694, 19634, 21]-code) | [i] | ✔ | |
| 4 | Linear OA(2751, 19694, F27, 17) (dual of [19694, 19643, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(2768, 19702, F27, 22) (dual of [19702, 19634, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(2753, 19702, F27, 17) (dual of [19702, 19649, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(2776, 19710, F27, 24) (dual of [19710, 19634, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(2755, 19710, F27, 17) (dual of [19710, 19655, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(2785, 19719, F27, 26) (dual of [19719, 19634, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(2791, 19725, F27, 28) (dual of [19725, 19634, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(2795, 19729, F27, 29) (dual of [19729, 19634, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(2799, 19731, F27, 30) (dual of [19731, 19632, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(27100, 19734, F27, 30) (dual of [19734, 19634, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(27105, 19739, F27, 31) (dual of [19739, 19634, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(27109, 19743, F27, 32) (dual of [19743, 19634, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(2777, 19712, F27, 24) (dual of [19712, 19635, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OOA(2749, 2460, F27, 17, 17) (dual of [(2460, 17), 41771, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |