Information on Result #930813
Linear OOA(16121, 227, F16, 2, 78) (dual of [(227, 2), 333, 79]-NRT-code), using construction X applied to AG(2;F,369P) ⊂ AG(2;F,373P) based on
- linear OOA(16118, 224, F16, 2, 78) (dual of [(224, 2), 330, 79]-NRT-code), using algebraic-geometric NRT-code AG(2;F,369P) [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- 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 (see above)
- linear OOA(163, 3, F16, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(163, 16, F16, 2, 3) (dual of [(16, 2), 29, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;29,16) [i]
- discarding factors / shortening the dual code based on linear OOA(163, 16, F16, 2, 3) (dual of [(16, 2), 29, 4]-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(4242, 454, F4, 2, 78) (dual of [(454, 2), 666, 79]-NRT-code) | [i] | Trace Code for OOAs | |