Information on Result #939489
Linear OOA(4238, 458, F4, 2, 74) (dual of [(458, 2), 678, 75]-NRT-code), using trace code based on linear OOA(16119, 229, F16, 2, 74) (dual of [(229, 2), 339, 75]-NRT-code), using
- construction X applied to AG(2;F,373P) ⊂ AG(2;F,379P) [i] based on
- linear OOA(16114, 224, F16, 2, 74) (dual of [(224, 2), 334, 75]-NRT-code), using algebraic-geometric NRT-code AG(2;F,373P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OOA(16108, 224, F16, 2, 68) (dual of [(224, 2), 340, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,379P) [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(4239, 458, F4, 2, 74) (dual of [(458, 2), 677, 75]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4238, 229, F4, 3, 74) (dual of [(229, 3), 449, 75]-NRT-code) | [i] | OOA Folding | |