Information on Result #1302408
Linear OA(841, 228, F8, 17) (dual of [228, 187, 18]-code), using construction X with Varšamov bound based on
- linear OA(840, 226, F8, 17) (dual of [226, 186, 18]-code), using
- trace code [i] based on linear OA(6420, 113, F64, 17) (dual of [113, 93, 18]-code), using
- extended algebraic-geometric code AGe(F,95P) [i] based on function field F/F64 with g(F) = 3 and N(F) ≥ 113, using
- trace code [i] based on linear OA(6420, 113, F64, 17) (dual of [113, 93, 18]-code), using
- linear OA(840, 227, F8, 16) (dual of [227, 187, 17]-code), using Gilbert–Varšamov bound and bm = 840 > Vbs−1(k−1) = 467491 200582 635193 749145 627103 353328 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 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(841, 227, F8, 2, 17) (dual of [(227, 2), 413, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(841, 227, F8, 3, 17) (dual of [(227, 3), 640, 18]-NRT-code) | [i] | ||
| 3 | Digital (24, 41, 227)-net over F8 | [i] | ||