Information on Result #1303200
Linear OA(969, 336, F9, 29) (dual of [336, 267, 30]-code), using construction X with Varšamov bound based on
- linear OA(968, 334, F9, 29) (dual of [334, 266, 30]-code), using
- trace code [i] based on linear OA(8134, 167, F81, 29) (dual of [167, 133, 30]-code), using
- extended algebraic-geometric code AGe(F,137P) [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 167, using
- trace code [i] based on linear OA(8134, 167, F81, 29) (dual of [167, 133, 30]-code), using
- linear OA(968, 335, F9, 28) (dual of [335, 267, 29]-code), using Gilbert–Varšamov bound and bm = 968 > Vbs−1(k−1) = 10553 877324 716059 622324 069976 212304 213847 432903 680593 062326 649137 [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(969, 332, F9, 2, 29) (dual of [(332, 2), 595, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |