Information on Result #1128866
Linear OOA(3144, 39, F3, 5, 111) (dual of [(39, 5), 51, 112]-NRT-code), using construction X applied to AG(5;F,34P) ⊂ AG(5;F,38P) based on
- linear OOA(3137, 36, F3, 5, 111) (dual of [(36, 5), 43, 112]-NRT-code), using algebraic-geometric NRT-code AG(5;F,34P) 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(3129, 36, F3, 5, 103) (dual of [(36, 5), 51, 104]-NRT-code), using algebraic-geometric NRT-code AG(5;F,38P) 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(3144, 39, F3, 5, 110) (dual of [(39, 5), 51, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3145, 39, F3, 5, 111) (dual of [(39, 5), 50, 112]-NRT-code) | [i] | OOA Duplication | |