Information on Result #936675
Linear OOA(6486, 519, F64, 2, 51) (dual of [(519, 2), 952, 52]-NRT-code), using construction X applied to AG(2;F,972P) ⊂ AG(2;F,980P) based on
- linear OOA(6479, 512, F64, 2, 51) (dual of [(512, 2), 945, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,972P) [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(6471, 512, F64, 2, 43) (dual of [(512, 2), 953, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,980P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(647, 7, F64, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(647, 64, F64, 2, 7) (dual of [(64, 2), 121, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;121,64) [i]
- discarding factors / shortening the dual code based on linear OOA(647, 64, F64, 2, 7) (dual of [(64, 2), 121, 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(8172, 1038, F8, 2, 51) (dual of [(1038, 2), 1904, 52]-NRT-code) | [i] | Trace Code for OOAs | |