Information on Result #652107
Linear OA(32107, 138, F32, 87) (dual of [138, 31, 88]-code), using construction X applied to AG(F,31P) ⊂ AG(F,41P) based on
- linear OA(3298, 119, F32, 87) (dual of [119, 21, 88]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3288, 119, F32, 77) (dual of [119, 31, 78]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(329, 19, F32, 9) (dual of [19, 10, 10]-code or 19-arc in PG(8,32)), using
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
- Reed–Solomon code RS(23,32) [i]
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), 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(32107, 69, F32, 2, 87) (dual of [(69, 2), 31, 88]-NRT-code) | [i] | OOA Folding | |