Information on Result #2887523
Linear OOA(3119, 67, F3, 5, 59) (dual of [(67, 5), 216, 60]-NRT-code), using strength reduction based on linear OOA(3119, 67, F3, 5, 60) (dual of [(67, 5), 216, 61]-NRT-code), using
- construction X applied to AG(5;F,254P) ⊂ AG(5;F,265P) [i] based on
- linear OOA(3109, 63, F3, 5, 60) (dual of [(63, 5), 206, 61]-NRT-code), using algebraic-geometric NRT-code AG(5;F,254P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64, using
- linear OOA(398, 63, F3, 5, 49) (dual of [(63, 5), 217, 50]-NRT-code), using algebraic-geometric NRT-code AG(5;F,265P) [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64 (see above)
- linear OOA(310, 4, F3, 5, 10) (dual of [(4, 5), 10, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;10,3) [i]
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 | Digital (60, 119, 67)-net over F3 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |