Information on Result #652683
Linear OA(3281, 159, F32, 50) (dual of [159, 78, 51]-code), using construction X applied to AG(F,68P) ⊂ AG(F,88P) based on
- linear OA(3261, 119, F32, 50) (dual of [119, 58, 51]-code), using algebraic-geometric code AG(F,68P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3241, 119, F32, 30) (dual of [119, 78, 31]-code), using algebraic-geometric code AG(F,88P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3220, 40, F32, 19) (dual of [40, 20, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3220, 43, F32, 19) (dual of [43, 23, 20]-code), using
- algebraic-geometric code AG(F,23P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OA(3220, 43, F32, 19) (dual of [43, 23, 20]-code), using
Mode: Constructive and 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(3281, 79, F32, 2, 50) (dual of [(79, 2), 77, 51]-NRT-code) | [i] | OOA Folding | |