Information on Result #936785
Linear OOA(8174, 174, F81, 2, 64) (dual of [(174, 2), 274, 65]-NRT-code), using construction X applied to AG(2;F,277P) ⊂ AG(2;F,281P) based on
- linear OOA(8171, 171, F81, 2, 64) (dual of [(171, 2), 271, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,277P) [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- linear OOA(8167, 171, F81, 2, 60) (dual of [(171, 2), 275, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,281P) [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(9148, 348, F9, 2, 64) (dual of [(348, 2), 548, 65]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8174, 87, F81, 4, 64) (dual of [(87, 4), 274, 65]-NRT-code) | [i] | OOA Folding | |