Information on Result #1091377
Linear OOA(3174, 57, F3, 4, 108) (dual of [(57, 4), 54, 109]-NRT-code), using construction X applied to AG(4;F,79P) ⊂ AG(4;F,98P) based on
- linear OOA(3153, 47, F3, 4, 108) (dual of [(47, 4), 35, 109]-NRT-code), using algebraic-geometric NRT-code AG(4;F,79P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3134, 47, F3, 4, 89) (dual of [(47, 4), 54, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,98P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(321, 10, F3, 4, 18) (dual of [(10, 4), 19, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,21P) [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(3174, 57, F3, 4, 107) (dual of [(57, 4), 54, 108]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3174, 57, F3, 4, 106) (dual of [(57, 4), 54, 107]-NRT-code) | [i] | ||