Information on Result #655060
Linear OA(8177, 176, F81, 68) (dual of [176, 99, 69]-code), using construction X applied to AG(F,102P) ⊂ AG(F,105P) based on
- linear OA(8175, 171, F81, 68) (dual of [171, 96, 69]-code), using algebraic-geometric code AG(F,102P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OA(8172, 171, F81, 65) (dual of [171, 99, 66]-code), using algebraic-geometric code AG(F,105P) [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 | OA(27103, 176, S27, 68) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8177, 88, F81, 2, 68) (dual of [(88, 2), 99, 69]-NRT-code) | [i] | OOA Folding | |