Information on Result #1049525
Linear OOA(3184, 66, F3, 3, 127) (dual of [(66, 3), 14, 128]-NRT-code), using juxtaposition based on
- linear OOA(370, 28, F3, 3, 55) (dual of [(28, 3), 14, 56]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,28P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(3100, 38, F3, 3, 71) (dual of [(38, 3), 14, 72]-NRT-code), using
- construction X applied to AG(3;F,18P) ⊂ AG(3;F,20P) [i] based on
- linear OOA(397, 36, F3, 3, 71) (dual of [(36, 3), 11, 72]-NRT-code), using algebraic-geometric NRT-code AG(3;F,18P) 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(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 (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
- construction X applied to AG(3;F,18P) ⊂ AG(3;F,20P) [i] based on
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(3184, 66, F3, 3, 126) (dual of [(66, 3), 14, 127]-NRT-code) | [i] | Strength Reduction for OOAs | |