Information on Result #931000
Linear OOA(16128, 231, F16, 2, 81) (dual of [(231, 2), 334, 82]-NRT-code), using construction X applied to AG(2;F,366P) ⊂ AG(2;F,374P) 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(16113, 224, F16, 2, 73) (dual of [(224, 2), 335, 74]-NRT-code), using algebraic-geometric NRT-code AG(2;F,374P) [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(4256, 462, F4, 2, 81) (dual of [(462, 2), 668, 82]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | OOA(8171, 231, S8, 2, 81) | [i] | Discarding Parts of the Base for OOAs | |