Information on Result #1031584
Linear OOA(3126, 53, F3, 3, 72) (dual of [(53, 3), 33, 73]-NRT-code), using construction X applied to AG(3;F,68P) ⊂ AG(3;F,77P) based on
- linear OOA(3117, 47, F3, 3, 72) (dual of [(47, 3), 24, 73]-NRT-code), using algebraic-geometric NRT-code AG(3;F,68P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3108, 47, F3, 3, 63) (dual of [(47, 3), 33, 64]-NRT-code), using algebraic-geometric NRT-code AG(3;F,77P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(39, 6, F3, 3, 8) (dual of [(6, 3), 9, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(39, 7, F3, 3, 8) (dual of [(7, 3), 12, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(39, 7, F3, 3, 8) (dual of [(7, 3), 12, 9]-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(3126, 53, F3, 3, 71) (dual of [(53, 3), 33, 72]-NRT-code) | [i] | Strength Reduction for OOAs | |