Information on Result #937272
Linear OOA(8172, 379, F81, 2, 46) (dual of [(379, 2), 686, 47]-NRT-code), using construction X applied to AG(2;F,691P) ⊂ AG(2;F,702P) based on
- linear OOA(8162, 369, F81, 2, 46) (dual of [(369, 2), 676, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,691P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8151, 369, F81, 2, 35) (dual of [(369, 2), 687, 36]-NRT-code), using algebraic-geometric NRT-code AG(2;F,702P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(8110, 10, F81, 2, 10) (dual of [(10, 2), 10, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8110, 81, F81, 2, 10) (dual of [(81, 2), 152, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(2;152,81) [i]
- discarding factors / shortening the dual code based on linear OOA(8110, 81, F81, 2, 10) (dual of [(81, 2), 152, 11]-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, 758, F9, 2, 46) (dual of [(758, 2), 1372, 47]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | OOA(2796, 379, S27, 2, 46) | [i] | Discarding Parts of the Base for OOAs | |