Information on Result #659642
Linear OA(564, 148, F5, 24) (dual of [148, 84, 25]-code), using trace code based on linear OA(2532, 74, F25, 24) (dual of [74, 42, 25]-code), using
- construction X applied to AG(F,40P) ⊂ AG(F,45P) [i] based on
- linear OA(2528, 65, F25, 24) (dual of [65, 37, 25]-code), using algebraic-geometric code AG(F,40P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OA(2523, 65, F25, 19) (dual of [65, 42, 20]-code), using algebraic-geometric code AG(F,45P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66 (see above)
- linear OA(254, 9, F25, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), 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, 149, F5, 24) (dual of [149, 84, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(564, 74, F5, 2, 24) (dual of [(74, 2), 84, 25]-NRT-code) | [i] | OOA Folding | |