Information on Result #660662
Linear OA(9106, 364, F9, 41) (dual of [364, 258, 42]-code), using trace code based on linear OA(8153, 182, F81, 41) (dual of [182, 129, 42]-code), using
- construction X applied to AG(F,129P) ⊂ AG(F,135P) [i] based on
- linear OA(8148, 171, F81, 41) (dual of [171, 123, 42]-code), using algebraic-geometric code AG(F,129P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OA(8142, 171, F81, 35) (dual of [171, 129, 36]-code), using algebraic-geometric code AG(F,135P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (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(9107, 365, F9, 41) (dual of [365, 258, 42]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9106, 182, F9, 2, 41) (dual of [(182, 2), 258, 42]-NRT-code) | [i] | OOA Folding | |