Information on Result #1047191
Linear OOA(396, 38, F3, 3, 67) (dual of [(38, 3), 18, 68]-NRT-code), using construction X applied to AG(3;F,20P) ⊂ AG(3;F,22P) based on
- linear OOA(393, 36, F3, 3, 67) (dual of [(36, 3), 15, 68]-NRT-code), using algebraic-geometric NRT-code AG(3;F,20P) 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(389, 36, F3, 3, 63) (dual of [(36, 3), 19, 64]-NRT-code), using algebraic-geometric NRT-code AG(3;F,22P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(33, 2, F3, 3, 3) (dual of [(2, 3), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(33, 3, F3, 3, 3) (dual of [(3, 3), 6, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,3) [i]
- discarding factors / shortening the dual code based on linear OOA(33, 3, F3, 3, 3) (dual of [(3, 3), 6, 4]-NRT-code), using
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(396, 38, F3, 3, 66) (dual of [(38, 3), 18, 67]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3180, 66, F3, 3, 119) (dual of [(66, 3), 18, 120]-NRT-code) | [i] | Juxtaposition for OOAs | |