Information on Result #655528
Linear OA(8174, 374, F81, 56) (dual of [374, 300, 57]-code), using construction X applied to AG(F,312P) ⊂ AG(F,315P) based on
- linear OA(8172, 369, F81, 56) (dual of [369, 297, 57]-code), using algebraic-geometric code AG(F,312P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8169, 369, F81, 53) (dual of [369, 300, 54]-code), using algebraic-geometric code AG(F,315P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(812, 5, F81, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,81)), using
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), using
- Reed–Solomon code RS(79,81) [i]
- discarding factors / shortening the dual code based on linear OA(812, 81, F81, 2) (dual of [81, 79, 3]-code or 81-arc in PG(1,81)), 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, 748, F9, 56) (dual of [748, 600, 57]-code) | [i] | Trace Code | |
| 2 | OA(2799, 374, S27, 56) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(8174, 187, F81, 2, 56) (dual of [(187, 2), 300, 57]-NRT-code) | [i] | OOA Folding | |