Information on Result #695078
Linear OA(2767, 19683, F27, 23) (dual of [19683, 19616, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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 OOA(2767, 10512, F27, 2, 23) (dual of [(10512, 2), 20957, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (44, 67, 10512)-net over F27 | [i] | ||
| 3 | Linear OA(2770, 19686, F27, 24) (dual of [19686, 19616, 25]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2767, 19686, F27, 23) (dual of [19686, 19619, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(2778, 19694, F27, 26) (dual of [19694, 19616, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(2769, 19694, F27, 23) (dual of [19694, 19625, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(2783, 19699, F27, 28) (dual of [19699, 19616, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(2787, 19703, F27, 29) (dual of [19703, 19616, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(2771, 19702, F27, 23) (dual of [19702, 19631, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(2791, 19707, F27, 30) (dual of [19707, 19616, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(2795, 19711, F27, 31) (dual of [19711, 19616, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(2773, 19710, F27, 23) (dual of [19710, 19637, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(27100, 19716, F27, 32) (dual of [19716, 19616, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(27104, 19720, F27, 33) (dual of [19720, 19616, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(2776, 19719, F27, 23) (dual of [19719, 19643, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(27109, 19725, F27, 34) (dual of [19725, 19616, 35]-code) | [i] | ✔ | |
| 17 | Linear OA(2779, 19728, F27, 23) (dual of [19728, 19649, 24]-code) | [i] | ✔ | |
| 18 | Linear OOA(2767, 1789, F27, 23, 23) (dual of [(1789, 23), 41080, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |