Information on Result #1046498
Linear OOA(6488, 521, F64, 3, 47) (dual of [(521, 3), 1475, 48]-NRT-code), using construction X applied to AG(3;F,1488P) ⊂ AG(3;F,1502P) based on
- linear OOA(6475, 512, F64, 3, 47) (dual of [(512, 3), 1461, 48]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1488P) [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(6461, 512, F64, 3, 33) (dual of [(512, 3), 1475, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1502P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(6413, 9, F64, 3, 13) (dual of [(9, 3), 14, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6413, 64, F64, 3, 13) (dual of [(64, 3), 179, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(3;179,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6413, 64, F64, 3, 13) (dual of [(64, 3), 179, 14]-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, 521, F64, 3, 46) (dual of [(521, 3), 1475, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |