Information on Result #1048835
Linear OOA(8166, 1032, F8, 3, 49) (dual of [(1032, 3), 2930, 50]-NRT-code), using trace code based on linear OOA(6483, 516, F64, 3, 49) (dual of [(516, 3), 1465, 50]-NRT-code), using
- construction X applied to AG(3;F,1486P) ⊂ AG(3;F,1493P) [i] based on
- linear OOA(6477, 512, F64, 3, 49) (dual of [(512, 3), 1459, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1486P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- linear OOA(6470, 512, F64, 3, 42) (dual of [(512, 3), 1466, 43]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1493P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (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
- linear OOA(6477, 512, F64, 3, 49) (dual of [(512, 3), 1459, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1486P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, 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(8167, 1032, F8, 3, 49) (dual of [(1032, 3), 2929, 50]-NRT-code) | [i] | OOA Duplication | |