Information on Result #1472021
Linear OOA(961, 112, F9, 2, 32) (dual of [(112, 2), 163, 33]-NRT-code), using construction X applied to AG(2;F,185P) ⊂ AG(2;F,189P) based on
- linear OOA(958, 109, F9, 2, 32) (dual of [(109, 2), 160, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,185P) [i] based on function field F/F9 with g(F) = 26 and N(F) ≥ 110, using
- linear OOA(954, 109, F9, 2, 28) (dual of [(109, 2), 164, 29]-NRT-code), using algebraic-geometric NRT-code AG(2;F,189P) [i] based on function field F/F9 with g(F) = 26 and N(F) ≥ 110 (see above)
- linear OOA(93, 3, F9, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(93, 9, F9, 2, 3) (dual of [(9, 2), 15, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;15,9) [i]
- discarding factors / shortening the dual code based on linear OOA(93, 9, F9, 2, 3) (dual of [(9, 2), 15, 4]-NRT-code), using
Mode: 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(961, 112, F9, 3, 32) (dual of [(112, 3), 275, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (29, 61, 112)-net over F9 | [i] | ||