Information on Result #1092109
Linear OOA(3211, 72, F3, 4, 109) (dual of [(72, 4), 77, 110]-NRT-code), using construction X applied to AG(4;F,78P) ⊂ AG(4;F,121P) based on
- linear OOA(3154, 47, F3, 4, 109) (dual of [(47, 4), 34, 110]-NRT-code), using algebraic-geometric NRT-code AG(4;F,78P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- linear OOA(3111, 47, F3, 4, 66) (dual of [(47, 4), 77, 67]-NRT-code), using algebraic-geometric NRT-code AG(4;F,121P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
- linear OOA(357, 25, F3, 4, 42) (dual of [(25, 4), 43, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(357, 28, F3, 4, 42) (dual of [(28, 4), 55, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,69P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(357, 28, F3, 4, 42) (dual of [(28, 4), 55, 43]-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(3211, 72, F3, 4, 108) (dual of [(72, 4), 77, 109]-NRT-code) | [i] | Strength Reduction for OOAs | |