Information on Result #931781
Linear OOA(2542, 129, F25, 2, 28) (dual of [(129, 2), 216, 29]-NRT-code), using construction X applied to AG(2;F,221P) ⊂ AG(2;F,226P) based on
- linear OOA(2538, 125, F25, 2, 28) (dual of [(125, 2), 212, 29]-NRT-code), using algebraic-geometric NRT-code AG(2;F,221P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- linear OOA(2533, 125, F25, 2, 23) (dual of [(125, 2), 217, 24]-NRT-code), using algebraic-geometric NRT-code AG(2;F,226P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OOA(254, 4, F25, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(254, 25, F25, 2, 4) (dual of [(25, 2), 46, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;46,25) [i]
- discarding factors / shortening the dual code based on linear OOA(254, 25, F25, 2, 4) (dual of [(25, 2), 46, 5]-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(584, 258, F5, 2, 28) (dual of [(258, 2), 432, 29]-NRT-code) | [i] | Trace Code for OOAs | |