Information on Result #659644
Linear OA(564, 140, F5, 26) (dual of [140, 76, 27]-code), using trace code based on linear OA(2532, 70, F25, 26) (dual of [70, 38, 27]-code), using
- construction X applied to AG(F,38P) ⊂ AG(F,41P) [i] based on
- linear OA(2530, 65, F25, 26) (dual of [65, 35, 27]-code), using algebraic-geometric code AG(F,38P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2527, 65, F25, 23) (dual of [65, 38, 24]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OA(252, 5, F25, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), 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(565, 141, F5, 26) (dual of [141, 76, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(564, 70, F5, 2, 26) (dual of [(70, 2), 76, 27]-NRT-code) | [i] | OOA Folding | |