Information on Result #655769
Linear OA(8176, 388, F81, 51) (dual of [388, 312, 52]-code), using construction X applied to AG(F,317P) ⊂ AG(F,327P) based on
- linear OA(8167, 369, F81, 51) (dual of [369, 302, 52]-code), using algebraic-geometric code AG(F,317P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8157, 369, F81, 41) (dual of [369, 312, 42]-code), using algebraic-geometric code AG(F,327P) [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 OOA(8176, 194, F81, 2, 51) (dual of [(194, 2), 312, 52]-NRT-code) | [i] | OOA Folding | |