Information on Result #655906
Linear OA(8181, 404, F81, 48) (dual of [404, 323, 49]-code), using construction X applied to AG(F,320P) ⊂ AG(F,338P) based on
- linear OA(8164, 369, F81, 48) (dual of [369, 305, 49]-code), using algebraic-geometric code AG(F,320P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8146, 369, F81, 30) (dual of [369, 323, 31]-code), using algebraic-geometric code AG(F,338P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(8117, 35, F81, 17) (dual of [35, 18, 18]-code or 35-arc in PG(16,81)), using
- discarding factors / shortening the dual code based on linear OA(8117, 81, F81, 17) (dual of [81, 64, 18]-code or 81-arc in PG(16,81)), using
- Reed–Solomon code RS(64,81) [i]
- discarding factors / shortening the dual code based on linear OA(8117, 81, F81, 17) (dual of [81, 64, 18]-code or 81-arc in PG(16,81)), 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 | Linear OOA(8181, 202, F81, 2, 48) (dual of [(202, 2), 323, 49]-NRT-code) | [i] | OOA Folding | |