Information on Result #1046538
Linear OOA(8170, 174, F81, 3, 59) (dual of [(174, 3), 452, 60]-NRT-code), using construction X applied to AG(3;F,453P) ⊂ AG(3;F,458P) based on
- linear OOA(8166, 171, F81, 3, 59) (dual of [(171, 3), 447, 60]-NRT-code), using algebraic-geometric NRT-code AG(3;F,453P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OOA(8161, 171, F81, 3, 54) (dual of [(171, 3), 452, 55]-NRT-code), using algebraic-geometric NRT-code AG(3;F,458P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (see above)
- linear OOA(814, 3, F81, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 3, 4) (dual of [(81, 3), 239, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;239,81) [i]
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 3, 4) (dual of [(81, 3), 239, 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(8170, 174, F81, 3, 58) (dual of [(174, 3), 452, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(9140, 348, F9, 3, 59) (dual of [(348, 3), 904, 60]-NRT-code) | [i] | Trace Code for OOAs | |