Information on Result #655647
Linear OA(8172, 380, F81, 51) (dual of [380, 308, 52]-code), using construction X applied to AG(F,317P) ⊂ AG(F,323P) 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(8161, 369, F81, 45) (dual of [369, 308, 46]-code), using algebraic-geometric code AG(F,323P) [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(9144, 760, F9, 51) (dual of [760, 616, 52]-code) | [i] | Trace Code | |
| 2 | OA(2796, 380, S27, 51) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(8172, 190, F81, 2, 51) (dual of [(190, 2), 308, 52]-NRT-code) | [i] | OOA Folding | |