Information on Result #1303146
Linear OA(953, 310, F9, 22) (dual of [310, 257, 23]-code), using construction X with Varšamov bound based on
- linear OA(952, 308, F9, 22) (dual of [308, 256, 23]-code), using
- trace code [i] based on linear OA(8126, 154, F81, 22) (dual of [154, 128, 23]-code), using
- extended algebraic-geometric code AGe(F,131P) [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 154, using
- trace code [i] based on linear OA(8126, 154, F81, 22) (dual of [154, 128, 23]-code), using
- linear OA(952, 309, F9, 21) (dual of [309, 257, 22]-code), using Gilbert–Varšamov bound and bm = 952 > Vbs−1(k−1) = 15 021458 531788 762583 745993 471896 121311 121127 058721 [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(953, 304, F9, 2, 22) (dual of [(304, 2), 555, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |