Information on Result #933448
Linear OOA(2783, 101, F27, 2, 66) (dual of [(101, 2), 119, 67]-NRT-code), using construction X applied to AG(2;F,123P) ⊂ AG(2;F,130P) based on
- linear OOA(2777, 95, F27, 2, 66) (dual of [(95, 2), 113, 67]-NRT-code), using algebraic-geometric NRT-code AG(2;F,123P) [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- linear OOA(2770, 95, F27, 2, 59) (dual of [(95, 2), 120, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,130P) [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96 (see above)
- linear OOA(276, 6, F27, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(276, 27, F27, 2, 6) (dual of [(27, 2), 48, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;48,27) [i]
- discarding factors / shortening the dual code based on linear OOA(276, 27, F27, 2, 6) (dual of [(27, 2), 48, 7]-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(3249, 303, F3, 2, 66) (dual of [(303, 2), 357, 67]-NRT-code) | [i] | Trace Code for OOAs | |