Information on Result #655673
Linear OA(8181, 382, F81, 59) (dual of [382, 301, 60]-code), using construction X applied to AG(F,309P) ⊂ AG(F,316P) based on
- linear OA(8175, 369, F81, 59) (dual of [369, 294, 60]-code), using algebraic-geometric code AG(F,309P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8168, 369, F81, 52) (dual of [369, 301, 53]-code), using algebraic-geometric code AG(F,316P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(816, 13, F81, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,81)), using
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), using
- Reed–Solomon code RS(75,81) [i]
- discarding factors / shortening the dual code based on linear OA(816, 81, F81, 6) (dual of [81, 75, 7]-code or 81-arc in PG(5,81)), 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(27108, 382, S27, 59) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8181, 191, F81, 2, 59) (dual of [(191, 2), 301, 60]-NRT-code) | [i] | OOA Folding | |