Information on Result #937000
Linear OOA(8170, 372, F81, 2, 51) (dual of [(372, 2), 674, 52]-NRT-code), using construction X applied to AG(2;F,686P) ⊂ AG(2;F,690P) based on
- linear OOA(8167, 369, F81, 2, 51) (dual of [(369, 2), 671, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,686P) [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(813, 3, F81, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 81, F81, 2, 3) (dual of [(81, 2), 159, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;159,81) [i]
- discarding factors / shortening the dual code based on linear OOA(813, 81, F81, 2, 3) (dual of [(81, 2), 159, 4]-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(9140, 744, F9, 2, 51) (dual of [(744, 2), 1348, 52]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8170, 186, F81, 4, 51) (dual of [(186, 4), 674, 52]-NRT-code) | [i] | OOA Folding | |