Information on Result #655918
Linear OA(8181, 408, F81, 46) (dual of [408, 327, 47]-code), using construction X applied to AG(F,322P) ⊂ AG(F,342P) based on
- linear OA(8162, 369, F81, 46) (dual of [369, 307, 47]-code), using algebraic-geometric code AG(F,322P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8142, 369, F81, 26) (dual of [369, 327, 27]-code), using algebraic-geometric code AG(F,342P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(8119, 39, F81, 19) (dual of [39, 20, 20]-code or 39-arc in PG(18,81)), using
- discarding factors / shortening the dual code based on linear OA(8119, 81, F81, 19) (dual of [81, 62, 20]-code or 81-arc in PG(18,81)), using
- Reed–Solomon code RS(62,81) [i]
- discarding factors / shortening the dual code based on linear OA(8119, 81, F81, 19) (dual of [81, 62, 20]-code or 81-arc in PG(18,81)), 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, 204, F81, 2, 46) (dual of [(204, 2), 327, 47]-NRT-code) | [i] | OOA Folding | |