Information on Result #1303076
Linear OA(913, 12962, F9, 4) (dual of [12962, 12949, 5]-code), using construction X with Varšamov bound based on
- linear OA(912, 12960, F9, 4) (dual of [12960, 12948, 5]-code), using
- trace code [i] based on linear OA(816, 6480, F81, 4) (dual of [6480, 6474, 5]-code), using
- 1 times truncation [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- trace code [i] based on linear OA(816, 6480, F81, 4) (dual of [6480, 6474, 5]-code), using
- linear OA(912, 12961, F9, 3) (dual of [12961, 12949, 4]-code or 12961-cap in PG(11,9)), using Gilbert–Varšamov bound and bm = 912 > Vbs−1(k−1) = 5374 460161 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 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(913, 12962, F9, 2, 4) (dual of [(12962, 2), 25911, 5]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(913, 12962, F9, 3, 4) (dual of [(12962, 3), 38873, 5]-NRT-code) | [i] | ||
| 3 | Linear OOA(913, 6481, F9, 2, 4) (dual of [(6481, 2), 12949, 5]-NRT-code) | [i] | OOA Folding | |