Information on Result #652423
Linear OA(32100, 148, F32, 75) (dual of [148, 48, 76]-code), using construction X applied to AG(F,43P) ⊂ AG(F,58P) based on
- linear OA(3286, 119, F32, 75) (dual of [119, 33, 76]-code), using algebraic-geometric code AG(F,43P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3271, 119, F32, 60) (dual of [119, 48, 61]-code), using algebraic-geometric code AG(F,58P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3214, 29, F32, 14) (dual of [29, 15, 15]-code or 29-arc in PG(13,32)), using
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- Reed–Solomon code RS(18,32) [i]
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), 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(32100, 74, F32, 2, 75) (dual of [(74, 2), 48, 76]-NRT-code) | [i] | OOA Folding | |