Information on Result #1126401
Linear OOA(3144, 54, F3, 5, 81) (dual of [(54, 5), 126, 82]-NRT-code), using construction X applied to AG(5;F,153P) ⊂ AG(5;F,171P) based on
- linear OOA(3126, 47, F3, 5, 81) (dual of [(47, 5), 109, 82]-NRT-code), using algebraic-geometric NRT-code AG(5;F,153P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3108, 47, F3, 5, 63) (dual of [(47, 5), 127, 64]-NRT-code), using algebraic-geometric NRT-code AG(5;F,171P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(318, 7, F3, 5, 17) (dual of [(7, 5), 17, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,17P) [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(3144, 54, F3, 5, 80) (dual of [(54, 5), 126, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3144, 54, F3, 5, 79) (dual of [(54, 5), 126, 80]-NRT-code) | [i] | ||