Information on Result #932524
Linear OOA(2573, 205, F25, 2, 42) (dual of [(205, 2), 337, 43]-NRT-code), using construction X applied to AG(2;F,355P) ⊂ AG(2;F,362P) based on
- linear OOA(2567, 199, F25, 2, 42) (dual of [(199, 2), 331, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,355P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OOA(2560, 199, F25, 2, 35) (dual of [(199, 2), 338, 36]-NRT-code), using algebraic-geometric NRT-code AG(2;F,362P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OOA(256, 6, F25, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(256, 25, F25, 2, 6) (dual of [(25, 2), 44, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;44,25) [i]
- discarding factors / shortening the dual code based on linear OOA(256, 25, F25, 2, 6) (dual of [(25, 2), 44, 7]-NRT-code), 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 OOA(5146, 410, F5, 2, 42) (dual of [(410, 2), 674, 43]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Digital (31, 73, 205)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |