Information on Result #655194
Linear OA(8163, 180, F81, 52) (dual of [180, 117, 53]-code), using construction X applied to AG(F,118P) ⊂ AG(F,123P) based on
- linear OA(8159, 171, F81, 52) (dual of [171, 112, 53]-code), using algebraic-geometric code AG(F,118P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OA(8154, 171, F81, 47) (dual of [171, 117, 48]-code), using algebraic-geometric code AG(F,123P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OA(814, 9, F81, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,81)), using
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- Reed–Solomon code RS(77,81) [i]
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), 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 | OA(2784, 180, S27, 52) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8163, 90, F81, 2, 52) (dual of [(90, 2), 117, 53]-NRT-code) | [i] | OOA Folding | |