Information on Result #1125827
Linear OOA(3172, 50, F3, 5, 120) (dual of [(50, 5), 78, 121]-NRT-code), using construction X applied to AG(5;F,114P) ⊂ AG(5;F,122P) based on
- linear OOA(3165, 47, F3, 5, 120) (dual of [(47, 5), 70, 121]-NRT-code), using algebraic-geometric NRT-code AG(5;F,114P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3157, 47, F3, 5, 112) (dual of [(47, 5), 78, 113]-NRT-code), using algebraic-geometric NRT-code AG(5;F,122P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(37, 3, F3, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(5;8,3) [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(3172, 50, F3, 5, 119) (dual of [(50, 5), 78, 120]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3172, 50, F3, 5, 118) (dual of [(50, 5), 78, 119]-NRT-code) | [i] | ||