Information on Result #1047190
Linear OOA(397, 38, F3, 3, 68) (dual of [(38, 3), 17, 69]-NRT-code), using construction X applied to AG(3;F,19P) ⊂ AG(3;F,21P) based on
- linear OOA(395, 36, F3, 3, 69) (dual of [(36, 3), 13, 70]-NRT-code), using algebraic-geometric NRT-code AG(3;F,19P) 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(391, 36, F3, 3, 65) (dual of [(36, 3), 17, 66]-NRT-code), using algebraic-geometric NRT-code AG(3;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(32, 2, F3, 3, 2) (dual of [(2, 3), 4, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(32, 3, F3, 3, 2) (dual of [(3, 3), 7, 3]-NRT-code), using
- Reed–Solomon NRT-code RS(3;7,3) [i]
- discarding factors / shortening the dual code based on linear OOA(32, 3, F3, 3, 2) (dual of [(3, 3), 7, 3]-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(397, 38, F3, 3, 67) (dual of [(38, 3), 17, 68]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3181, 66, F3, 3, 121) (dual of [(66, 3), 17, 122]-NRT-code) | [i] | Juxtaposition for OOAs | |