Information on Result #1047250
Linear OOA(357, 38, F3, 3, 28) (dual of [(38, 3), 57, 29]-NRT-code), using construction X applied to AG(3;F,39P) ⊂ AG(3;F,41P) based on
- linear OOA(355, 36, F3, 3, 29) (dual of [(36, 3), 53, 30]-NRT-code), using algebraic-geometric NRT-code AG(3;F,39P) 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(351, 36, F3, 3, 25) (dual of [(36, 3), 57, 26]-NRT-code), using algebraic-geometric NRT-code AG(3;F,41P) 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(357, 38, F3, 3, 27) (dual of [(38, 3), 57, 28]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(357, 19, F3, 5, 28) (dual of [(19, 5), 38, 29]-NRT-code) | [i] | OOA Folding | |