Information on Result #655780
Linear OA(8165, 388, F81, 40) (dual of [388, 323, 41]-code), using construction X applied to AG(F,328P) ⊂ AG(F,338P) based on
- linear OA(8156, 369, F81, 40) (dual of [369, 313, 41]-code), using algebraic-geometric code AG(F,328P) [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(819, 19, F81, 9) (dual of [19, 10, 10]-code or 19-arc in PG(8,81)), using
- discarding factors / shortening the dual code based on linear OA(819, 81, F81, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
- Reed–Solomon code RS(72,81) [i]
- discarding factors / shortening the dual code based on linear OA(819, 81, F81, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), 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 OA(9130, 776, F9, 40) (dual of [776, 646, 41]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8165, 194, F81, 2, 40) (dual of [(194, 2), 323, 41]-NRT-code) | [i] | OOA Folding | |