Information on Result #655648
Linear OA(8171, 380, F81, 50) (dual of [380, 309, 51]-code), using construction X applied to AG(F,318P) ⊂ AG(F,324P) 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(8160, 369, F81, 44) (dual of [369, 309, 45]-code), using algebraic-geometric code AG(F,324P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(815, 11, F81, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,81)), using
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- Reed–Solomon code RS(76,81) [i]
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), 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(9142, 760, F9, 50) (dual of [760, 618, 51]-code) | [i] | Trace Code | |
| 2 | OA(2795, 380, S27, 50) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(8171, 190, F81, 2, 50) (dual of [(190, 2), 309, 51]-NRT-code) | [i] | OOA Folding | |