Information on Result #1031624
Linear OOA(3115, 54, F3, 3, 59) (dual of [(54, 3), 47, 60]-NRT-code), using construction X applied to AG(3;F,81P) ⊂ AG(3;F,92P) based on
- linear OOA(3104, 47, F3, 3, 59) (dual of [(47, 3), 37, 60]-NRT-code), using algebraic-geometric NRT-code AG(3;F,81P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(393, 47, F3, 3, 48) (dual of [(47, 3), 48, 49]-NRT-code), using algebraic-geometric NRT-code AG(3;F,92P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(311, 7, F3, 3, 10) (dual of [(7, 3), 10, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,10P) [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(3115, 54, F3, 3, 58) (dual of [(54, 3), 47, 59]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3115, 27, F3, 5, 59) (dual of [(27, 5), 20, 60]-NRT-code) | [i] | OOA Folding | |