Information on Result #1316029
Linear OA(8110, 226, F81, 6) (dual of [226, 216, 7]-code), using 59 step Varšamov–Edel lengthening with (ri) = (1, 58 times 0) based on linear OA(819, 166, F81, 6) (dual of [166, 157, 7]-code), using
- construction X applied to C([38,43]) ⊂ C([39,43]) [i] based on
- linear OA(819, 164, F81, 6) (dual of [164, 155, 7]-code), using the BCH-code C(I) with length 164 | 812−1, defining interval I = {38,39,…,43}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(817, 164, F81, 5) (dual of [164, 157, 6]-code), using the BCH-code C(I) with length 164 | 812−1, defining interval I = {39,40,41,42,43}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(8110, 226, F81, 2, 6) (dual of [(226, 2), 442, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8110, 226, F81, 3, 6) (dual of [(226, 3), 668, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(8110, 226, F81, 4, 6) (dual of [(226, 4), 894, 7]-NRT-code) | [i] | ||
| 4 | Digital (4, 10, 226)-net over F81 | [i] | ||