Information on Result #929570
Linear OOA(1693, 75, F16, 2, 76) (dual of [(75, 2), 57, 77]-NRT-code), using construction X applied to AG(2;F,51P) ⊂ AG(2;F,63P) based on
- linear OOA(1682, 64, F16, 2, 76) (dual of [(64, 2), 46, 77]-NRT-code), using algebraic-geometric NRT-code AG(2;F,51P) [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(1611, 11, F16, 2, 11) (dual of [(11, 2), 11, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1611, 16, F16, 2, 11) (dual of [(16, 2), 21, 12]-NRT-code), using
- Reed–Solomon NRT-code RS(2;21,16) [i]
- discarding factors / shortening the dual code based on linear OOA(1611, 16, F16, 2, 11) (dual of [(16, 2), 21, 12]-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(4186, 150, F4, 2, 76) (dual of [(150, 2), 114, 77]-NRT-code) | [i] | Trace Code for OOAs | |