Information on Result #1091686
Linear OOA(3182, 62, F3, 4, 104) (dual of [(62, 4), 66, 105]-NRT-code), using construction X applied to AG(4;F,83P) ⊂ AG(4;F,110P) based on
- linear OOA(3149, 47, F3, 4, 104) (dual of [(47, 4), 39, 105]-NRT-code), using algebraic-geometric NRT-code AG(4;F,83P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3122, 47, F3, 4, 77) (dual of [(47, 4), 66, 78]-NRT-code), using algebraic-geometric NRT-code AG(4;F,110P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(333, 15, F3, 4, 26) (dual of [(15, 4), 27, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(333, 16, F3, 4, 26) (dual of [(16, 4), 31, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,37P) [i] based on function field F/F3 with g(F) = 7 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(333, 16, F3, 4, 26) (dual of [(16, 4), 31, 27]-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(3182, 62, F3, 4, 103) (dual of [(62, 4), 66, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |