Information on Result #939519
Linear OOA(4250, 456, F4, 2, 81) (dual of [(456, 2), 662, 82]-NRT-code), using trace code based on linear OOA(16125, 228, F16, 2, 81) (dual of [(228, 2), 331, 82]-NRT-code), using
- construction X applied to AG(2;F,366P) ⊂ AG(2;F,371P) [i] based on
- linear OOA(16121, 224, F16, 2, 81) (dual of [(224, 2), 327, 82]-NRT-code), using algebraic-geometric NRT-code AG(2;F,366P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OOA(16116, 224, F16, 2, 76) (dual of [(224, 2), 332, 77]-NRT-code), using algebraic-geometric NRT-code AG(2;F,371P) [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(4251, 456, F4, 2, 81) (dual of [(456, 2), 661, 82]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4250, 228, F4, 3, 81) (dual of [(228, 3), 434, 82]-NRT-code) | [i] | OOA Folding | |