Information on Result #1031475
Linear OOA(3116, 50, F3, 3, 67) (dual of [(50, 3), 34, 68]-NRT-code), using construction X applied to AG(3;F,73P) ⊂ AG(3;F,78P) based on
- linear OOA(3112, 47, F3, 3, 67) (dual of [(47, 3), 29, 68]-NRT-code), using algebraic-geometric NRT-code AG(3;F,73P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3107, 47, F3, 3, 62) (dual of [(47, 3), 34, 63]-NRT-code), using algebraic-geometric NRT-code AG(3;F,78P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(34, 3, F3, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;5,3) [i]
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(3116, 50, F3, 3, 66) (dual of [(50, 3), 34, 67]-NRT-code) | [i] | Strength Reduction for OOAs | |