Information on Result #938080
Linear OOA(955, 29, F9, 2, 52) (dual of [(29, 2), 3, 53]-NRT-code), using construction X applied to AG(2;F,0P) ⊂ AG(2;F,4P) based on
- linear OOA(953, 27, F9, 2, 53) (dual of [(27, 2), 1, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,0P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- linear OOA(951, 27, F9, 2, 49) (dual of [(27, 2), 3, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,4P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [i]
- linear OOA(92, 2, F9, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(92, 9, F9, 2, 2) (dual of [(9, 2), 16, 3]-NRT-code), using
- Reed–Solomon NRT-code RS(2;16,9) [i]
- discarding factors / shortening the dual code based on linear OOA(92, 9, F9, 2, 2) (dual of [(9, 2), 16, 3]-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(9111, 57, F9, 2, 104) (dual of [(57, 2), 3, 105]-NRT-code) | [i] | Juxtaposition for OOAs | |