Information on Result #936990
Linear OOA(8175, 372, F81, 2, 56) (dual of [(372, 2), 669, 57]-NRT-code), using construction X applied to AG(2;F,681P) ⊂ AG(2;F,685P) based on
- linear OOA(8172, 369, F81, 2, 56) (dual of [(369, 2), 666, 57]-NRT-code), using algebraic-geometric NRT-code AG(2;F,681P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- 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 (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(9150, 744, F9, 2, 56) (dual of [(744, 2), 1338, 57]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8175, 186, F81, 4, 56) (dual of [(186, 4), 669, 57]-NRT-code) | [i] | OOA Folding | |