Information on Result #930923
Linear OOA(16129, 229, F16, 2, 84) (dual of [(229, 2), 329, 85]-NRT-code), using construction X applied to AG(2;F,363P) ⊂ AG(2;F,369P) based on
- linear OOA(16124, 224, F16, 2, 84) (dual of [(224, 2), 324, 85]-NRT-code), using algebraic-geometric NRT-code AG(2;F,363P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OOA(16118, 224, F16, 2, 78) (dual of [(224, 2), 330, 79]-NRT-code), using algebraic-geometric NRT-code AG(2;F,369P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225 (see above)
- linear OOA(165, 5, F16, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(165, 16, F16, 2, 5) (dual of [(16, 2), 27, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;27,16) [i]
- discarding factors / shortening the dual code based on linear OOA(165, 16, F16, 2, 5) (dual of [(16, 2), 27, 6]-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(4258, 458, F4, 2, 84) (dual of [(458, 2), 658, 85]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | OOA(8172, 229, S8, 2, 84) | [i] | Discarding Parts of the Base for OOAs | |