Information on Result #655744
Linear OA(8174, 386, F81, 50) (dual of [386, 312, 51]-code), using construction X applied to AG(F,318P) ⊂ AG(F,327P) based on
- linear OA(8166, 369, F81, 50) (dual of [369, 303, 51]-code), using algebraic-geometric code AG(F,318P) [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(818, 17, F81, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,81)), using
- discarding factors / shortening the dual code based on linear OA(818, 81, F81, 8) (dual of [81, 73, 9]-code or 81-arc in PG(7,81)), using
- Reed–Solomon code RS(73,81) [i]
- discarding factors / shortening the dual code based on linear OA(818, 81, F81, 8) (dual of [81, 73, 9]-code or 81-arc in PG(7,81)), 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(9148, 772, F9, 50) (dual of [772, 624, 51]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8174, 193, F81, 2, 50) (dual of [(193, 2), 312, 51]-NRT-code) | [i] | OOA Folding | |