Information on Result #1304285
Linear OA(397, 786, F3, 22) (dual of [786, 689, 23]-code), using 45 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 6 times 0, 1, 9 times 0, 1, 13 times 0) based on linear OA(385, 729, F3, 22) (dual of [729, 644, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
Mode: 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(397, 786, F3, 2, 22) (dual of [(786, 2), 1475, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(397, 786, F3, 3, 22) (dual of [(786, 3), 2261, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(397, 786, F3, 4, 22) (dual of [(786, 4), 3047, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(397, 786, F3, 5, 22) (dual of [(786, 5), 3833, 23]-NRT-code) | [i] | ||
| 5 | Digital (75, 97, 786)-net over F3 | [i] | ||