Information on Result #1091185
Linear OOA(3174, 54, F3, 4, 115) (dual of [(54, 4), 42, 116]-NRT-code), using construction X applied to AG(4;F,72P) ⊂ AG(4;F,86P) based on
- linear OOA(3160, 47, F3, 4, 115) (dual of [(47, 4), 28, 116]-NRT-code), using algebraic-geometric NRT-code AG(4;F,72P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3146, 47, F3, 4, 101) (dual of [(47, 4), 42, 102]-NRT-code), using algebraic-geometric NRT-code AG(4;F,86P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(314, 7, F3, 4, 13) (dual of [(7, 4), 14, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,14P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, 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, 54, F3, 4, 114) (dual of [(54, 4), 42, 115]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3174, 54, F3, 4, 113) (dual of [(54, 4), 42, 114]-NRT-code) | [i] | ||