Information on Result #652470
Linear OA(32109, 150, F32, 83) (dual of [150, 41, 84]-code), using construction X applied to AG(F,35P) ⊂ AG(F,51P) based on
- linear OA(3294, 119, F32, 83) (dual of [119, 25, 84]-code), using algebraic-geometric code AG(F,35P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3278, 119, F32, 67) (dual of [119, 41, 68]-code), using algebraic-geometric code AG(F,51P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3215, 31, F32, 15) (dual of [31, 16, 16]-code or 31-arc in PG(14,32)), using
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
- Reed–Solomon code RS(17,32) [i]
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), 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(32109, 75, F32, 2, 83) (dual of [(75, 2), 41, 84]-NRT-code) | [i] | OOA Folding | |