Information on Result #655888
Linear OA(8177, 400, F81, 46) (dual of [400, 323, 47]-code), using construction X applied to AG(F,322P) ⊂ AG(F,338P) 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(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(8115, 31, F81, 15) (dual of [31, 16, 16]-code or 31-arc in PG(14,81)), using
- discarding factors / shortening the dual code based on linear OA(8115, 81, F81, 15) (dual of [81, 66, 16]-code or 81-arc in PG(14,81)), using
- Reed–Solomon code RS(66,81) [i]
- discarding factors / shortening the dual code based on linear OA(8115, 81, F81, 15) (dual of [81, 66, 16]-code or 81-arc in PG(14,81)), 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(8177, 200, F81, 2, 46) (dual of [(200, 2), 323, 47]-NRT-code) | [i] | OOA Folding | |