Information on Result #652852
Linear OA(32109, 177, F32, 68) (dual of [177, 68, 69]-code), using construction X applied to AG(F,50P) ⊂ AG(F,78P) 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(3251, 119, F32, 40) (dual of [119, 68, 41]-code), using algebraic-geometric code AG(F,78P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3230, 58, F32, 27) (dual of [58, 28, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3230, 63, F32, 27) (dual of [63, 33, 28]-code), using
- algebraic-geometric code AG(F,35P) [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(3230, 63, F32, 27) (dual of [63, 33, 28]-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(32109, 88, F32, 2, 68) (dual of [(88, 2), 67, 69]-NRT-code) | [i] | OOA Folding | |