Information on Result #652833
Linear OA(32102, 173, F32, 63) (dual of [173, 71, 64]-code), using construction X applied to AG(F,55P) ⊂ AG(F,81P) based on
- linear OA(3274, 119, F32, 63) (dual of [119, 45, 64]-code), using algebraic-geometric code AG(F,55P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3248, 119, F32, 37) (dual of [119, 71, 38]-code), using algebraic-geometric code AG(F,81P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3228, 54, F32, 25) (dual of [54, 26, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3228, 63, F32, 25) (dual of [63, 35, 26]-code), using
- algebraic-geometric code AG(F,37P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(3228, 63, F32, 25) (dual of [63, 35, 26]-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(32102, 86, F32, 2, 63) (dual of [(86, 2), 70, 64]-NRT-code) | [i] | OOA Folding | |