Information on Result #1092170
Linear OOA(3222, 75, F3, 4, 114) (dual of [(75, 4), 78, 115]-NRT-code), using construction X applied to AG(4;F,73P) ⊂ AG(4;F,122P) based on
- linear OOA(3159, 47, F3, 4, 114) (dual of [(47, 4), 29, 115]-NRT-code), using algebraic-geometric NRT-code AG(4;F,73P) [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(363, 28, F3, 4, 48) (dual of [(28, 4), 49, 49]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,63P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, 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(3222, 75, F3, 4, 113) (dual of [(75, 4), 78, 114]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3222, 75, F3, 4, 112) (dual of [(75, 4), 78, 113]-NRT-code) | [i] | ||
| 3 | Linear OOA(3222, 75, F3, 4, 111) (dual of [(75, 4), 78, 112]-NRT-code) | [i] | ||
| 4 | Linear OOA(3226, 76, F3, 4, 114) (dual of [(76, 4), 78, 115]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |