Information on Result #1047518
Linear OOA(393, 46, F3, 3, 51) (dual of [(46, 3), 45, 52]-NRT-code), using construction X applied to AG(3;F,28P) ⊂ AG(3;F,35P) based on
- linear OOA(377, 36, F3, 3, 51) (dual of [(36, 3), 31, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,28P) 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(363, 36, F3, 3, 37) (dual of [(36, 3), 45, 38]-NRT-code), using algebraic-geometric NRT-code AG(3;F,35P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(316, 10, F3, 3, 13) (dual of [(10, 3), 14, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [i] based on function field F/F3 with g(F) = 3 and N(F) ≥ 10, 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(393, 46, F3, 3, 50) (dual of [(46, 3), 45, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(394, 46, F3, 3, 51) (dual of [(46, 3), 44, 52]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(393, 23, F3, 5, 51) (dual of [(23, 5), 22, 52]-NRT-code) | [i] | OOA Folding | |