Information on Result #1046441
Linear OOA(6485, 517, F64, 3, 50) (dual of [(517, 3), 1466, 51]-NRT-code), using construction X applied to AG(3;F,1485P) ⊂ AG(3;F,1493P) based on
- linear OOA(6478, 512, F64, 3, 50) (dual of [(512, 3), 1458, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1485P) [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(647, 5, F64, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(647, 64, F64, 3, 7) (dual of [(64, 3), 185, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;185,64) [i]
- discarding factors / shortening the dual code based on linear OOA(647, 64, F64, 3, 7) (dual of [(64, 3), 185, 8]-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(6485, 517, F64, 3, 49) (dual of [(517, 3), 1466, 50]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4255, 1551, F4, 3, 50) (dual of [(1551, 3), 4398, 51]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8170, 1034, F8, 3, 50) (dual of [(1034, 3), 2932, 51]-NRT-code) | [i] | ||