Information on Result #931910
Linear OOA(2571, 131, F25, 2, 55) (dual of [(131, 2), 191, 56]-NRT-code), using construction X applied to AG(2;F,194P) ⊂ AG(2;F,201P) based on
- linear OOA(2565, 125, F25, 2, 55) (dual of [(125, 2), 185, 56]-NRT-code), using algebraic-geometric NRT-code AG(2;F,194P) [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(2558, 125, F25, 2, 48) (dual of [(125, 2), 192, 49]-NRT-code), using algebraic-geometric NRT-code AG(2;F,201P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126 (see above)
- linear OOA(256, 6, F25, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(256, 25, F25, 2, 6) (dual of [(25, 2), 44, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;44,25) [i]
- discarding factors / shortening the dual code based on linear OOA(256, 25, F25, 2, 6) (dual of [(25, 2), 44, 7]-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(5142, 262, F5, 2, 55) (dual of [(262, 2), 382, 56]-NRT-code) | [i] | Trace Code for OOAs | |