Information on Result #940651
Linear OOA(8162, 1030, F8, 2, 50) (dual of [(1030, 2), 1898, 51]-NRT-code), using trace code based on linear OOA(6481, 515, F64, 2, 50) (dual of [(515, 2), 949, 51]-NRT-code), using
- construction X applied to AG(2;F,973P) ⊂ AG(2;F,977P) [i] based on
- linear OOA(6478, 512, F64, 2, 50) (dual of [(512, 2), 946, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,973P) [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(6474, 512, F64, 2, 46) (dual of [(512, 2), 950, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,977P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(643, 3, F64, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;125,64) [i]
- discarding factors / shortening the dual code based on linear OOA(643, 64, F64, 2, 3) (dual of [(64, 2), 125, 4]-NRT-code), using
- linear OOA(6478, 512, F64, 2, 50) (dual of [(512, 2), 946, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,973P) [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(8163, 1030, F8, 2, 50) (dual of [(1030, 2), 1897, 51]-NRT-code) | [i] | OOA Duplication | |