Information on Result #652721
Linear OA(3283, 161, F32, 51) (dual of [161, 78, 52]-code), using construction X applied to AG(F,67P) ⊂ AG(F,88P) based on
- linear OA(3262, 119, F32, 51) (dual of [119, 57, 52]-code), using algebraic-geometric code AG(F,67P) [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(3221, 42, F32, 20) (dual of [42, 21, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, 43, F32, 20) (dual of [43, 22, 21]-code), using
- algebraic-geometric code AG(F,22P) [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(3221, 43, F32, 20) (dual of [43, 22, 21]-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(3283, 80, F32, 2, 51) (dual of [(80, 2), 77, 52]-NRT-code) | [i] | OOA Folding | |