Information on Result #1126672
Linear OOA(3182, 57, F3, 5, 111) (dual of [(57, 5), 103, 112]-NRT-code), using construction X applied to AG(5;F,123P) ⊂ AG(5;F,147P) based on
- linear OOA(3156, 47, F3, 5, 111) (dual of [(47, 5), 79, 112]-NRT-code), using algebraic-geometric NRT-code AG(5;F,123P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3132, 47, F3, 5, 87) (dual of [(47, 5), 103, 88]-NRT-code), using algebraic-geometric NRT-code AG(5;F,147P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(326, 10, F3, 5, 23) (dual of [(10, 5), 24, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,26P) [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(3182, 57, F3, 5, 110) (dual of [(57, 5), 103, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3182, 57, F3, 5, 109) (dual of [(57, 5), 103, 110]-NRT-code) | [i] | ||