Information on Result #929090
Linear OOA(1683, 70, F16, 2, 71) (dual of [(70, 2), 57, 72]-NRT-code), using construction X applied to AG(2;F,56P) ⊂ AG(2;F,63P) based on
- linear OOA(1677, 64, F16, 2, 71) (dual of [(64, 2), 51, 72]-NRT-code), using algebraic-geometric NRT-code AG(2;F,56P) [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(1670, 64, F16, 2, 64) (dual of [(64, 2), 58, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,63P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(166, 6, F16, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(166, 16, F16, 2, 6) (dual of [(16, 2), 26, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;26,16) [i]
- discarding factors / shortening the dual code based on linear OOA(166, 16, F16, 2, 6) (dual of [(16, 2), 26, 7]-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(4166, 140, F4, 2, 71) (dual of [(140, 2), 114, 72]-NRT-code) | [i] | Trace Code for OOAs | |