Information on Result #1618650
Linear OOA(3174, 89, F3, 4, 91) (dual of [(89, 4), 182, 92]-NRT-code), using construction X applied to AG(4;F,240P) ⊂ AG(4;F,252P) based on
- linear OOA(3162, 83, F3, 4, 91) (dual of [(83, 4), 170, 92]-NRT-code), using algebraic-geometric NRT-code AG(4;F,240P) [i] based on function field F/F3 with g(F) = 71 and N(F) ≥ 84, using
- linear OOA(3150, 83, F3, 4, 79) (dual of [(83, 4), 182, 80]-NRT-code), using algebraic-geometric NRT-code AG(4;F,252P) [i] based on function field F/F3 with g(F) = 71 and N(F) ≥ 84 (see above)
- linear OOA(312, 6, F3, 4, 11) (dual of [(6, 4), 12, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(312, 7, F3, 4, 11) (dual of [(7, 4), 16, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,16P) [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(312, 7, F3, 4, 11) (dual of [(7, 4), 16, 12]-NRT-code), using
Mode: 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(3174, 89, F3, 4, 90) (dual of [(89, 4), 182, 91]-NRT-code) | [i] | Strength Reduction for OOAs | |