Information on Result #936747
Linear OOA(6489, 524, F64, 2, 49) (dual of [(524, 2), 959, 50]-NRT-code), using construction X applied to AG(2;F,974P) ⊂ AG(2;F,987P) based on
- 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, using
- the Hermitian function field over F64 [i]
- linear OOA(6464, 512, F64, 2, 36) (dual of [(512, 2), 960, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,987P) [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513 (see above)
- linear OOA(6412, 12, F64, 2, 12) (dual of [(12, 2), 12, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(6412, 64, F64, 2, 12) (dual of [(64, 2), 116, 13]-NRT-code), using
- Reed–Solomon NRT-code RS(2;116,64) [i]
- discarding factors / shortening the dual code based on linear OOA(6412, 64, F64, 2, 12) (dual of [(64, 2), 116, 13]-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(6489, 262, F64, 3, 49) (dual of [(262, 3), 697, 50]-NRT-code) | [i] | OOA Folding | |