Information on Result #930127
Linear OOA(1680, 81, F16, 2, 57) (dual of [(81, 2), 82, 58]-NRT-code), using construction X applied to AG(2;F,70P) ⊂ AG(2;F,88P) based on
- linear OOA(1663, 64, F16, 2, 57) (dual of [(64, 2), 65, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,70P) [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(1645, 64, F16, 2, 39) (dual of [(64, 2), 83, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,88P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1617, 17, F16, 2, 17) (dual of [(17, 2), 17, 18]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;17,16) [i]
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(4160, 162, F4, 2, 57) (dual of [(162, 2), 164, 58]-NRT-code) | [i] | Trace Code for OOAs | |