Information on Result #655065
Linear OA(8172, 176, F81, 63) (dual of [176, 104, 64]-code), using construction X applied to AG(F,107P) ⊂ AG(F,110P) based on
- linear OA(8170, 171, F81, 63) (dual of [171, 101, 64]-code), using algebraic-geometric code AG(F,107P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OA(8167, 171, F81, 60) (dual of [171, 104, 61]-code), using algebraic-geometric code AG(F,110P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (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(9144, 352, F9, 63) (dual of [352, 208, 64]-code) | [i] | Trace Code | |
| 2 | OA(2796, 176, S27, 63) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(8172, 88, F81, 2, 63) (dual of [(88, 2), 104, 64]-NRT-code) | [i] | OOA Folding | |