Information on Result #1046782
Linear OOA(8169, 375, F81, 3, 44) (dual of [(375, 3), 1056, 45]-NRT-code), using construction X applied to AG(3;F,1062P) ⊂ AG(3;F,1072P) based on
- linear OOA(8160, 369, F81, 3, 44) (dual of [(369, 3), 1047, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1062P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8150, 369, F81, 3, 34) (dual of [(369, 3), 1057, 35]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1072P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(819, 6, F81, 3, 9) (dual of [(6, 3), 9, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(819, 81, F81, 3, 9) (dual of [(81, 3), 234, 10]-NRT-code), using
- Reed–Solomon NRT-code RS(3;234,81) [i]
- discarding factors / shortening the dual code based on linear OOA(819, 81, F81, 3, 9) (dual of [(81, 3), 234, 10]-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(9138, 750, F9, 3, 44) (dual of [(750, 3), 2112, 45]-NRT-code) | [i] | Trace Code for OOAs | |