Information on Result #1302762
Linear OA(8121, 133, F8, 88) (dual of [133, 12, 89]-code), using construction X with Varšamov bound based on
- linear OA(8114, 124, F8, 88) (dual of [124, 10, 89]-code), using
- 2 times truncation [i] based on linear OA(8116, 126, F8, 90) (dual of [126, 10, 91]-code), using
- linear OA(8114, 126, F8, 82) (dual of [126, 12, 83]-code), using Gilbert–Varšamov bound and bm = 8114 > Vbs−1(k−1) = 4 648549 934163 355635 534932 646137 406037 386087 124271 230461 125525 247760 307055 627943 294230 260772 308131 047956 [i]
- linear OA(85, 7, F8, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,8)), using
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- Reed–Solomon code RS(3,8) [i]
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), 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 OA(8122, 135, F8, 88) (dual of [135, 13, 89]-code) | [i] | Construction X with Varšamov Bound | |