Information on Result #651826
Linear OA(32102, 130, F32, 86) (dual of [130, 28, 87]-code), using construction X applied to AG(F,32P) ⊂ AG(F,38P) based on
- linear OA(3297, 119, F32, 86) (dual of [119, 22, 87]-code), using algebraic-geometric code AG(F,32P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3291, 119, F32, 80) (dual of [119, 28, 81]-code), using algebraic-geometric code AG(F,38P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(325, 11, F32, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), 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(32102, 65, F32, 2, 86) (dual of [(65, 2), 28, 87]-NRT-code) | [i] | OOA Folding |