Information on Result #937321
Linear OOA(8175, 381, F81, 2, 47) (dual of [(381, 2), 687, 48]-NRT-code), using construction X applied to AG(2;F,690P) ⊂ AG(2;F,703P) based on
- linear OOA(8163, 369, F81, 2, 47) (dual of [(369, 2), 675, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,690P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8150, 369, F81, 2, 34) (dual of [(369, 2), 688, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,703P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8112, 12, F81, 2, 12) (dual of [(12, 2), 12, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8112, 81, F81, 2, 12) (dual of [(81, 2), 150, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(2;150,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8112, 81, F81, 2, 12) (dual of [(81, 2), 150, 13]-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(9150, 762, F9, 2, 47) (dual of [(762, 2), 1374, 48]-NRT-code) | [i] | Trace Code for OOAs | |