Information on Result #1045961
Linear OOA(6481, 180, F64, 3, 68) (dual of [(180, 3), 459, 69]-NRT-code), using construction X applied to AG(3;F,459P) ⊂ AG(3;F,466P) based on
- linear OOA(6475, 176, F64, 3, 68) (dual of [(176, 3), 453, 69]-NRT-code), using algebraic-geometric NRT-code AG(3;F,459P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OOA(6468, 176, F64, 3, 61) (dual of [(176, 3), 460, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,466P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OOA(646, 4, F64, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 3, 6) (dual of [(64, 3), 186, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;186,64) [i]
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 3, 6) (dual of [(64, 3), 186, 7]-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(4243, 540, F4, 3, 68) (dual of [(540, 3), 1377, 69]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(8162, 360, F8, 3, 68) (dual of [(360, 3), 918, 69]-NRT-code) | [i] | ||