Information on Result #1046478
Linear OOA(6484, 519, F64, 3, 46) (dual of [(519, 3), 1473, 47]-NRT-code), using construction X applied to AG(3;F,1489P) ⊂ AG(3;F,1500P) based on
- linear OOA(6474, 512, F64, 3, 46) (dual of [(512, 3), 1462, 47]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1489P) [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(6463, 512, F64, 3, 35) (dual of [(512, 3), 1473, 36]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1500P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(6410, 7, F64, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6410, 64, F64, 3, 10) (dual of [(64, 3), 182, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;182,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6410, 64, F64, 3, 10) (dual of [(64, 3), 182, 11]-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(6484, 519, F64, 3, 45) (dual of [(519, 3), 1473, 46]-NRT-code) | [i] | Strength Reduction for OOAs | |