Information on Result #937068
Linear OOA(8172, 373, F81, 2, 52) (dual of [(373, 2), 674, 53]-NRT-code), using construction X applied to AG(2;F,685P) ⊂ AG(2;F,690P) based on
- linear OOA(8168, 369, F81, 2, 52) (dual of [(369, 2), 670, 53]-NRT-code), using algebraic-geometric NRT-code AG(2;F,685P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- 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 (see above)
- linear OOA(814, 4, F81, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 2, 4) (dual of [(81, 2), 158, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;158,81) [i]
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 2, 4) (dual of [(81, 2), 158, 5]-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(9144, 746, F9, 2, 52) (dual of [(746, 2), 1348, 53]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | OOA(2796, 373, S27, 2, 52) | [i] | Discarding Parts of the Base for OOAs | |