Information on Result #1091221
Linear OOA(3138, 54, F3, 4, 79) (dual of [(54, 4), 78, 80]-NRT-code), using construction X applied to AG(4;F,108P) ⊂ AG(4;F,122P) based on
- linear OOA(3124, 47, F3, 4, 79) (dual of [(47, 4), 64, 80]-NRT-code), using algebraic-geometric NRT-code AG(4;F,108P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3110, 47, F3, 4, 65) (dual of [(47, 4), 78, 66]-NRT-code), using algebraic-geometric NRT-code AG(4;F,122P) [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(3138, 54, F3, 4, 78) (dual of [(54, 4), 78, 79]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3138, 54, F3, 4, 77) (dual of [(54, 4), 78, 78]-NRT-code) | [i] | ||