Information on Result #652843
Linear OA(32108, 175, F32, 68) (dual of [175, 67, 69]-code), using construction X applied to AG(F,50P) ⊂ AG(F,77P) based on
- linear OA(3279, 119, F32, 68) (dual of [119, 40, 69]-code), using algebraic-geometric code AG(F,50P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3252, 119, F32, 41) (dual of [119, 67, 42]-code), using algebraic-geometric code AG(F,77P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3229, 56, F32, 26) (dual of [56, 27, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3229, 63, F32, 26) (dual of [63, 34, 27]-code), using
- algebraic-geometric code AG(F,36P) [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(3229, 63, F32, 26) (dual of [63, 34, 27]-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(32108, 87, F32, 2, 68) (dual of [(87, 2), 66, 69]-NRT-code) | [i] | OOA Folding | |