Information on Result #659860
Linear OA(5132, 304, F5, 45) (dual of [304, 172, 46]-code), using trace code based on linear OA(2566, 152, F25, 45) (dual of [152, 86, 46]-code), using
- construction X applied to AG(F,101P) ⊂ AG(F,104P) [i] based on
- 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, using
- linear OA(2561, 147, F25, 42) (dual of [147, 86, 43]-code), using algebraic-geometric code AG(F,104P) [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148 (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(5133, 305, F5, 45) (dual of [305, 172, 46]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5132, 152, F5, 2, 45) (dual of [(152, 2), 172, 46]-NRT-code) | [i] | OOA Folding | |