Information on Result #1091869
Linear OOA(3212, 66, F3, 4, 125) (dual of [(66, 4), 52, 126]-NRT-code), using construction X applied to AG(4;F,62P) ⊂ AG(4;F,96P) based on
- linear OOA(3170, 47, F3, 4, 125) (dual of [(47, 4), 18, 126]-NRT-code), using algebraic-geometric NRT-code AG(4;F,62P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3136, 47, F3, 4, 91) (dual of [(47, 4), 52, 92]-NRT-code), using algebraic-geometric NRT-code AG(4;F,96P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(342, 19, F3, 4, 33) (dual of [(19, 4), 34, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,42P) [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, 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(3212, 66, F3, 4, 124) (dual of [(66, 4), 52, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3212, 66, F3, 4, 123) (dual of [(66, 4), 52, 124]-NRT-code) | [i] | ||