Information on Result #1092173
Linear OOA(3219, 75, F3, 4, 111) (dual of [(75, 4), 81, 112]-NRT-code), using construction X applied to AG(4;F,76P) ⊂ AG(4;F,125P) based on
- linear OOA(3156, 47, F3, 4, 111) (dual of [(47, 4), 32, 112]-NRT-code), using algebraic-geometric NRT-code AG(4;F,76P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3107, 47, F3, 4, 62) (dual of [(47, 4), 81, 63]-NRT-code), using algebraic-geometric NRT-code AG(4;F,125P) [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(3219, 75, F3, 4, 110) (dual of [(75, 4), 81, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3219, 75, F3, 4, 109) (dual of [(75, 4), 81, 110]-NRT-code) | [i] | ||
| 3 | Linear OOA(3219, 75, F3, 4, 108) (dual of [(75, 4), 81, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(3223, 76, F3, 4, 111) (dual of [(76, 4), 81, 112]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |