Information on Result #655715
Linear OA(8172, 384, F81, 49) (dual of [384, 312, 50]-code), using construction X applied to AG(F,319P) ⊂ AG(F,327P) based on
- linear OA(8165, 369, F81, 49) (dual of [369, 304, 50]-code), using algebraic-geometric code AG(F,319P) [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(817, 15, F81, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,81)), using
- discarding factors / shortening the dual code based on linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), using
- Reed–Solomon code RS(74,81) [i]
- discarding factors / shortening the dual code based on linear OA(817, 81, F81, 7) (dual of [81, 74, 8]-code or 81-arc in PG(6,81)), 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(9144, 768, F9, 49) (dual of [768, 624, 50]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8172, 192, F81, 2, 49) (dual of [(192, 2), 312, 50]-NRT-code) | [i] | OOA Folding | |