Information on Result #932479
Linear OOA(2570, 203, F25, 2, 41) (dual of [(203, 2), 336, 42]-NRT-code), using construction X applied to AG(2;F,356P) ⊂ AG(2;F,361P) based on
- linear OOA(2566, 199, F25, 2, 41) (dual of [(199, 2), 332, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,356P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- linear OOA(2561, 199, F25, 2, 36) (dual of [(199, 2), 337, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,361P) [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200 (see above)
- linear OOA(254, 4, F25, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(254, 25, F25, 2, 4) (dual of [(25, 2), 46, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;46,25) [i]
- discarding factors / shortening the dual code based on linear OOA(254, 25, F25, 2, 4) (dual of [(25, 2), 46, 5]-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(5140, 406, F5, 2, 41) (dual of [(406, 2), 672, 42]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(25109, 404, F25, 2, 41) (dual of [(404, 2), 699, 42]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |