Information on Result #1046381
Linear OOA(6481, 515, F64, 3, 49) (dual of [(515, 3), 1464, 50]-NRT-code), using construction X applied to AG(3;F,1486P) ⊂ AG(3;F,1491P) 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(6472, 512, F64, 3, 44) (dual of [(512, 3), 1464, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1491P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(644, 3, F64, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 3, 4) (dual of [(64, 3), 188, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;188,64) [i]
- discarding factors / shortening the dual code based on linear OOA(644, 64, F64, 3, 4) (dual of [(64, 3), 188, 5]-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(6481, 515, F64, 3, 48) (dual of [(515, 3), 1464, 49]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4243, 1545, F4, 3, 49) (dual of [(1545, 3), 4392, 50]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8162, 1030, F8, 3, 49) (dual of [(1030, 3), 2928, 50]-NRT-code) | [i] | ||