Information on Result #655849
Linear OA(8165, 394, F81, 37) (dual of [394, 329, 38]-code), using construction X applied to AG(F,331P) ⊂ AG(F,344P) based on
- linear OA(8153, 369, F81, 37) (dual of [369, 316, 38]-code), using algebraic-geometric code AG(F,331P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8140, 369, F81, 24) (dual of [369, 329, 25]-code), using algebraic-geometric code AG(F,344P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(8112, 25, F81, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,81)), using
- discarding factors / shortening the dual code based on linear OA(8112, 81, F81, 12) (dual of [81, 69, 13]-code or 81-arc in PG(11,81)), using
- Reed–Solomon code RS(69,81) [i]
- discarding factors / shortening the dual code based on linear OA(8112, 81, F81, 12) (dual of [81, 69, 13]-code or 81-arc in PG(11,81)), 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(8165, 197, F81, 2, 37) (dual of [(197, 2), 329, 38]-NRT-code) | [i] | OOA Folding | |