Information on Result #1303118
Linear OA(943, 274, F9, 18) (dual of [274, 231, 19]-code), using construction X with Varšamov bound based on
- linear OA(942, 272, F9, 18) (dual of [272, 230, 19]-code), using
- trace code [i] based on linear OA(8121, 136, F81, 18) (dual of [136, 115, 19]-code), using
- extended algebraic-geometric code AGe(F,117P) [i] based on function field F/F81 with g(F) = 3 and N(F) ≥ 136, using
- trace code [i] based on linear OA(8121, 136, F81, 18) (dual of [136, 115, 19]-code), using
- linear OA(942, 273, F9, 17) (dual of [273, 231, 18]-code), using Gilbert–Varšamov bound and bm = 942 > Vbs−1(k−1) = 7761 874144 032175 513657 339926 096418 973313 [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(943, 264, F9, 2, 18) (dual of [(264, 2), 485, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OA(945, 312, F9, 18) (dual of [312, 267, 19]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(946, 352, F9, 18) (dual of [352, 306, 19]-code) | [i] | ||
| 4 | Linear OA(947, 399, F9, 18) (dual of [399, 352, 19]-code) | [i] | ||