Information on Result #936631
Linear OOA(6486, 517, F64, 2, 53) (dual of [(517, 2), 948, 54]-NRT-code), using construction X applied to AG(2;F,970P) ⊂ AG(2;F,976P) 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(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 (see above)
- linear OOA(645, 5, F64, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(645, 64, F64, 2, 5) (dual of [(64, 2), 123, 6]-NRT-code), using
- Reed–Solomon NRT-code RS(2;123,64) [i]
- discarding factors / shortening the dual code based on linear OOA(645, 64, F64, 2, 5) (dual of [(64, 2), 123, 6]-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(8172, 1034, F8, 2, 53) (dual of [(1034, 2), 1896, 54]-NRT-code) | [i] | Trace Code for OOAs | |