Information on Result #929190
Linear OOA(1686, 71, F16, 2, 73) (dual of [(71, 2), 56, 74]-NRT-code), using construction X applied to AG(2;F,54P) ⊂ AG(2;F,62P) based on
- linear OOA(1679, 64, F16, 2, 73) (dual of [(64, 2), 49, 74]-NRT-code), using algebraic-geometric NRT-code AG(2;F,54P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OOA(1671, 64, F16, 2, 65) (dual of [(64, 2), 57, 66]-NRT-code), using algebraic-geometric NRT-code AG(2;F,62P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(167, 7, F16, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(167, 16, F16, 2, 7) (dual of [(16, 2), 25, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;25,16) [i]
- discarding factors / shortening the dual code based on linear OOA(167, 16, F16, 2, 7) (dual of [(16, 2), 25, 8]-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(4172, 142, F4, 2, 73) (dual of [(142, 2), 112, 74]-NRT-code) | [i] | Trace Code for OOAs | |