Information on Result #936768
Linear OOA(8181, 174, F81, 2, 71) (dual of [(174, 2), 267, 72]-NRT-code), using construction X applied to AG(2;F,270P) ⊂ AG(2;F,274P) based on
- linear OOA(8178, 171, F81, 2, 71) (dual of [(171, 2), 264, 72]-NRT-code), using algebraic-geometric NRT-code AG(2;F,270P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OOA(8174, 171, F81, 2, 67) (dual of [(171, 2), 268, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,274P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172 (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(8181, 87, F81, 4, 71) (dual of [(87, 4), 267, 72]-NRT-code) | [i] | OOA Folding | |