Information on Result #936724
Linear OOA(6488, 522, F64, 2, 50) (dual of [(522, 2), 956, 51]-NRT-code), using construction X applied to AG(2;F,973P) ⊂ AG(2;F,984P) 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(6467, 512, F64, 2, 39) (dual of [(512, 2), 957, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,984P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(6410, 10, F64, 2, 10) (dual of [(10, 2), 10, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6410, 64, F64, 2, 10) (dual of [(64, 2), 118, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(2;118,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6410, 64, F64, 2, 10) (dual of [(64, 2), 118, 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(6488, 261, F64, 3, 50) (dual of [(261, 3), 695, 51]-NRT-code) | [i] | OOA Folding | |