Information on Result #931681
Linear OOA(2544, 128, F25, 2, 31) (dual of [(128, 2), 212, 32]-NRT-code), using construction X applied to AG(2;F,218P) ⊂ AG(2;F,222P) based on
- linear OOA(2541, 125, F25, 2, 31) (dual of [(125, 2), 209, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,218P) [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(2537, 125, F25, 2, 27) (dual of [(125, 2), 213, 28]-NRT-code), using algebraic-geometric NRT-code AG(2;F,222P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OOA(253, 3, F25, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(253, 25, F25, 2, 3) (dual of [(25, 2), 47, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;47,25) [i]
- discarding factors / shortening the dual code based on linear OOA(253, 25, F25, 2, 3) (dual of [(25, 2), 47, 4]-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(588, 256, F5, 2, 31) (dual of [(256, 2), 424, 32]-NRT-code) | [i] | Trace Code for OOAs | |