Information on Result #930936
Linear OOA(16116, 229, F16, 2, 71) (dual of [(229, 2), 342, 72]-NRT-code), using construction X applied to AG(2;F,376P) ⊂ AG(2;F,382P) based on
- linear OOA(16111, 224, F16, 2, 71) (dual of [(224, 2), 337, 72]-NRT-code), using algebraic-geometric NRT-code AG(2;F,376P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OOA(16105, 224, F16, 2, 65) (dual of [(224, 2), 343, 66]-NRT-code), using algebraic-geometric NRT-code AG(2;F,382P) [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(4232, 458, F4, 2, 71) (dual of [(458, 2), 684, 72]-NRT-code) | [i] | Trace Code for OOAs | |