Information on Result #1128849
Linear OOA(3178, 39, F3, 5, 145) (dual of [(39, 5), 17, 146]-NRT-code), using construction X applied to AG(5;F,17P) ⊂ AG(5;F,21P) based on
- linear OOA(3171, 36, F3, 5, 145) (dual of [(36, 5), 9, 146]-NRT-code), using algebraic-geometric NRT-code AG(5;F,17P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- linear OOA(3163, 36, F3, 5, 137) (dual of [(36, 5), 17, 138]-NRT-code), using algebraic-geometric NRT-code AG(5;F,21P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (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(3178, 39, F3, 5, 144) (dual of [(39, 5), 17, 145]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3179, 39, F3, 5, 145) (dual of [(39, 5), 16, 146]-NRT-code) | [i] | OOA Duplication | |