Information on Result #939501
Linear OOA(4244, 462, F4, 2, 75) (dual of [(462, 2), 680, 76]-NRT-code), using trace code based on linear OOA(16122, 231, F16, 2, 75) (dual of [(231, 2), 340, 76]-NRT-code), using
- construction X applied to AG(2;F,372P) ⊂ AG(2;F,380P) [i] based on
- linear OOA(16115, 224, F16, 2, 75) (dual of [(224, 2), 333, 76]-NRT-code), using algebraic-geometric NRT-code AG(2;F,372P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- linear OOA(16107, 224, F16, 2, 67) (dual of [(224, 2), 341, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,380P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225 (see above)
- linear OOA(167, 7, F16, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(167, 16, F16, 2, 7) (dual of [(16, 2), 25, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;25,16) [i]
- discarding factors / shortening the dual code based on linear OOA(167, 16, F16, 2, 7) (dual of [(16, 2), 25, 8]-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(4245, 462, F4, 2, 75) (dual of [(462, 2), 679, 76]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4244, 231, F4, 3, 75) (dual of [(231, 3), 449, 76]-NRT-code) | [i] | OOA Folding | |