Information on Result #1303233
Linear OA(975, 382, F9, 31) (dual of [382, 307, 32]-code), using construction X with Varšamov bound based on
- linear OA(974, 380, F9, 31) (dual of [380, 306, 32]-code), using
- trace code [i] based on linear OA(8137, 190, F81, 31) (dual of [190, 153, 32]-code), using
- extended algebraic-geometric code AGe(F,158P) [i] based on function field F/F81 with g(F) = 6 and N(F) ≥ 190, using
- trace code [i] based on linear OA(8137, 190, F81, 31) (dual of [190, 153, 32]-code), using
- linear OA(974, 381, F9, 30) (dual of [381, 307, 31]-code), using Gilbert–Varšamov bound and bm = 974 > Vbs−1(k−1) = 3847 901680 424709 835126 936895 014502 816690 241341 511126 673552 677275 919969 [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(975, 382, F9, 2, 31) (dual of [(382, 2), 689, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(975, 382, F9, 3, 31) (dual of [(382, 3), 1071, 32]-NRT-code) | [i] | ||
| 3 | Digital (44, 75, 382)-net over F9 | [i] | ||