Information on Result #1048169
Linear OOA(3210, 174, F3, 3, 68) (dual of [(174, 3), 312, 69]-NRT-code), using trace code based on linear OOA(9105, 87, F9, 3, 68) (dual of [(87, 3), 156, 69]-NRT-code), using
- construction X applied to AG(3;F,162P) ⊂ AG(3;F,178P) [i] based on
- linear OOA(990, 77, F9, 3, 68) (dual of [(77, 3), 141, 69]-NRT-code), using algebraic-geometric NRT-code AG(3;F,162P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- linear OOA(974, 77, F9, 3, 52) (dual of [(77, 3), 157, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,178P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(915, 10, F9, 3, 15) (dual of [(10, 3), 15, 16]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;15,9) [i]
- linear OOA(990, 77, F9, 3, 68) (dual of [(77, 3), 141, 69]-NRT-code), using algebraic-geometric NRT-code AG(3;F,162P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, 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(3210, 174, F3, 3, 67) (dual of [(174, 3), 312, 68]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3213, 175, F3, 3, 68) (dual of [(175, 3), 312, 69]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3211, 174, F3, 3, 68) (dual of [(174, 3), 311, 69]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3210, 87, F3, 5, 68) (dual of [(87, 5), 225, 69]-NRT-code) | [i] | OOA Folding | |