Information on Result #936561
Linear OOA(6484, 515, F64, 2, 53) (dual of [(515, 2), 946, 54]-NRT-code), using construction X applied to AG(2;F,970P) ⊂ AG(2;F,974P) based on
- linear OOA(6481, 512, F64, 2, 53) (dual of [(512, 2), 943, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,970P) [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(6477, 512, F64, 2, 49) (dual of [(512, 2), 947, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,974P) [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
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(8168, 1030, F8, 2, 53) (dual of [(1030, 2), 1892, 54]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | OOA(32101, 515, S32, 2, 53) | [i] | Discarding Parts of the Base for OOAs | |