Information on Result #659939
Linear OA(5146, 312, F5, 50) (dual of [312, 166, 51]-code), using trace code based on linear OA(2573, 156, F25, 50) (dual of [156, 83, 51]-code), using
- construction X applied to AG(F,96P) ⊂ AG(F,101P) [i] based on
- linear OA(2569, 147, F25, 50) (dual of [147, 78, 51]-code), using algebraic-geometric code AG(F,96P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- linear OA(2564, 147, F25, 45) (dual of [147, 83, 46]-code), using algebraic-geometric code AG(F,101P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148 (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(5147, 313, F5, 50) (dual of [313, 166, 51]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5146, 156, F5, 2, 50) (dual of [(156, 2), 166, 51]-NRT-code) | [i] | OOA Folding | |