Information on Result #695075
Linear OA(2773, 19683, F27, 25) (dual of [19683, 19610, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
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(2773, 10960, F27, 2, 25) (dual of [(10960, 2), 21847, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (48, 73, 10960)-net over F27 | [i] | ||
| 3 | Linear OA(2776, 19686, F27, 26) (dual of [19686, 19610, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(2773, 19686, F27, 25) (dual of [19686, 19613, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(2781, 19691, F27, 28) (dual of [19691, 19610, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(2785, 19695, F27, 29) (dual of [19695, 19610, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(2775, 19694, F27, 25) (dual of [19694, 19619, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(2789, 19699, F27, 30) (dual of [19699, 19610, 31]-code) | [i] | ✔ | |
| 9 | Linear OA(2793, 19703, F27, 31) (dual of [19703, 19610, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(2777, 19702, F27, 25) (dual of [19702, 19625, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(2797, 19707, F27, 32) (dual of [19707, 19610, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(27101, 19711, F27, 33) (dual of [19711, 19610, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(2779, 19710, F27, 25) (dual of [19710, 19631, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(27106, 19716, F27, 34) (dual of [19716, 19610, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(27110, 19720, F27, 35) (dual of [19720, 19610, 36]-code) | [i] | ✔ | |
| 16 | Linear OA(2782, 19719, F27, 25) (dual of [19719, 19637, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(2785, 19728, F27, 25) (dual of [19728, 19643, 26]-code) | [i] | ✔ | |
| 18 | Linear OOA(2773, 1640, F27, 25, 25) (dual of [(1640, 25), 40927, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |