Information on Result #936696
Linear OOA(6484, 520, F64, 2, 48) (dual of [(520, 2), 956, 49]-NRT-code), using construction X applied to AG(2;F,975P) ⊂ AG(2;F,984P) based on
- linear OOA(6476, 512, F64, 2, 48) (dual of [(512, 2), 948, 49]-NRT-code), using algebraic-geometric NRT-code AG(2;F,975P) [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(648, 8, F64, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(648, 64, F64, 2, 8) (dual of [(64, 2), 120, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;120,64) [i]
- discarding factors / shortening the dual code based on linear OOA(648, 64, F64, 2, 8) (dual of [(64, 2), 120, 9]-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(6484, 520, F64, 3, 48) (dual of [(520, 3), 1476, 49]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (36, 84, 520)-net over F64 | [i] | ||
| 3 | Linear OOA(6484, 260, F64, 3, 48) (dual of [(260, 3), 696, 49]-NRT-code) | [i] | OOA Folding | |