Information on Result #1030854
Linear OOA(3128, 50, F3, 3, 80) (dual of [(50, 3), 22, 81]-NRT-code), using construction X applied to AG(3;F,0P) ⊂ AG(3;F,36P) based on
- linear OOA(380, 27, F3, 3, 80) (dual of [(27, 3), 1, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,0P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- linear OOA(359, 27, F3, 3, 44) (dual of [(27, 3), 22, 45]-NRT-code), using algebraic-geometric NRT-code AG(3;F,36P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
- linear OOA(348, 23, F3, 3, 35) (dual of [(23, 3), 21, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(348, 24, F3, 3, 35) (dual of [(24, 3), 24, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,36P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(348, 24, F3, 3, 35) (dual of [(24, 3), 24, 36]-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(3125, 49, F3, 3, 77) (dual of [(49, 3), 22, 78]-NRT-code) | [i] | Truncation for OOAs | |