Information on Result #1047428
Linear OOA(3113, 44, F3, 3, 74) (dual of [(44, 3), 19, 75]-NRT-code), using construction X applied to AG(3;F,16P) ⊂ AG(3;F,22P) based on
- linear OOA(3101, 36, F3, 3, 75) (dual of [(36, 3), 7, 76]-NRT-code), using algebraic-geometric NRT-code AG(3;F,16P) 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(312, 8, F3, 3, 10) (dual of [(8, 3), 12, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [i] based on function field F/F3 with g(F) = 2 and N(F) ≥ 8, 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(3113, 44, F3, 3, 73) (dual of [(44, 3), 19, 74]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3113, 44, F3, 3, 72) (dual of [(44, 3), 19, 73]-NRT-code) | [i] | ||