Information on Result #931750
Linear OOA(2573, 129, F25, 2, 59) (dual of [(129, 2), 185, 60]-NRT-code), using construction X applied to AG(2;F,190P) ⊂ AG(2;F,195P) based on
- linear OOA(2569, 125, F25, 2, 59) (dual of [(125, 2), 181, 60]-NRT-code), using algebraic-geometric NRT-code AG(2;F,190P) [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(2564, 125, F25, 2, 54) (dual of [(125, 2), 186, 55]-NRT-code), using algebraic-geometric NRT-code AG(2;F,195P) [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(5146, 258, F5, 2, 59) (dual of [(258, 2), 370, 60]-NRT-code) | [i] | Trace Code for OOAs | |