Information on Result #939473
Linear OOA(4228, 456, F4, 2, 70) (dual of [(456, 2), 684, 71]-NRT-code), using trace code based on linear OOA(16114, 228, F16, 2, 70) (dual of [(228, 2), 342, 71]-NRT-code), using
- construction X applied to AG(2;F,377P) ⊂ AG(2;F,382P) [i] based on
- linear OOA(16110, 224, F16, 2, 70) (dual of [(224, 2), 338, 71]-NRT-code), using algebraic-geometric NRT-code AG(2;F,377P) [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(164, 4, F16, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(164, 16, F16, 2, 4) (dual of [(16, 2), 28, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;28,16) [i]
- discarding factors / shortening the dual code based on linear OOA(164, 16, F16, 2, 4) (dual of [(16, 2), 28, 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(4229, 456, F4, 2, 70) (dual of [(456, 2), 683, 71]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4228, 228, F4, 3, 70) (dual of [(228, 3), 456, 71]-NRT-code) | [i] | OOA Folding | |