Information on Result #940648
Linear OOA(8162, 1036, F8, 2, 47) (dual of [(1036, 2), 1910, 48]-NRT-code), using trace code based on linear OOA(6481, 518, F64, 2, 47) (dual of [(518, 2), 955, 48]-NRT-code), using
- construction X applied to AG(2;F,976P) ⊂ AG(2;F,983P) [i] based on
- linear OOA(6475, 512, F64, 2, 47) (dual of [(512, 2), 949, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,976P) [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(6468, 512, F64, 2, 40) (dual of [(512, 2), 956, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,983P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(646, 6, F64, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 2, 6) (dual of [(64, 2), 122, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;122,64) [i]
- discarding factors / shortening the dual code based on linear OOA(646, 64, F64, 2, 6) (dual of [(64, 2), 122, 7]-NRT-code), using
- linear OOA(6475, 512, F64, 2, 47) (dual of [(512, 2), 949, 48]-NRT-code), using algebraic-geometric NRT-code AG(2;F,976P) [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, 1036, F8, 2, 47) (dual of [(1036, 2), 1909, 48]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8162, 518, F8, 3, 47) (dual of [(518, 3), 1392, 48]-NRT-code) | [i] | OOA Folding | |