Information on Result #866245
Linear OOA(2779, 9841, F27, 2, 28) (dual of [(9841, 2), 19603, 29]-NRT-code), using OOA 2-folding based on linear OA(2779, 19682, F27, 28) (dual of [19682, 19603, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2779, 19683, F27, 28) (dual of [19683, 19604, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
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 | Linear OOA(2793, 9869, F27, 2, 28) (dual of [(9869, 2), 19645, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2794, 9879, F27, 2, 28) (dual of [(9879, 2), 19664, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(2795, 9889, F27, 2, 28) (dual of [(9889, 2), 19683, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(2796, 9893, F27, 2, 28) (dual of [(9893, 2), 19690, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(2797, 9905, F27, 2, 28) (dual of [(9905, 2), 19713, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(2798, 9909, F27, 2, 28) (dual of [(9909, 2), 19720, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(2799, 9917, F27, 2, 28) (dual of [(9917, 2), 19735, 29]-NRT-code) | [i] | ||
| 8 | Linear OOA(27100, 9923, F27, 2, 28) (dual of [(9923, 2), 19746, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(27101, 9925, F27, 2, 28) (dual of [(9925, 2), 19749, 29]-NRT-code) | [i] | ||
| 10 | Linear OOA(27102, 9929, F27, 2, 28) (dual of [(9929, 2), 19756, 29]-NRT-code) | [i] | ||
| 11 | Linear OOA(27103, 9935, F27, 2, 28) (dual of [(9935, 2), 19767, 29]-NRT-code) | [i] | ||
| 12 | Linear OOA(27104, 9937, F27, 2, 28) (dual of [(9937, 2), 19770, 29]-NRT-code) | [i] | ||
| 13 | OOA(2798, 9923, S27, 2, 28) | [i] | ||
| 14 | OOA(2799, 9941, S27, 2, 28) | [i] | ||
| 15 | OOA(27101, 9957, S27, 2, 28) | [i] | ||
| 16 | OOA(27103, 9991, S27, 2, 28) | [i] | ||
| 17 | Digital (51, 79, 9841)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |