Information on Result #1090511
Linear OOA(3226, 66, F3, 4, 141) (dual of [(66, 4), 38, 142]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,65P) based on
- linear OOA(3143, 36, F3, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F3 with g(F) = 28 and N(F) ≥ 37, using
- linear OOA(3106, 36, F3, 4, 78) (dual of [(36, 4), 38, 79]-NRT-code), using algebraic-geometric NRT-code AG(4;F,65P) [i] based on function field F/F3 with g(F) = 28 and N(F) ≥ 37 (see above)
- linear OOA(383, 30, F3, 4, 62) (dual of [(30, 4), 37, 63]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(383, 31, F3, 4, 62) (dual of [(31, 4), 41, 63]-NRT-code), using
- algebraic-geometric NRT-code AG(4;F,61P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- discarding factors / shortening the dual code based on linear OOA(383, 31, F3, 4, 62) (dual of [(31, 4), 41, 63]-NRT-code), 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(3226, 66, F3, 4, 140) (dual of [(66, 4), 38, 141]-NRT-code) | [i] | Strength Reduction for OOAs | |