Information on Result #1618542
Linear OOA(3192, 88, F3, 4, 111) (dual of [(88, 4), 160, 112]-NRT-code), using construction X applied to AG(4;F,220P) ⊂ AG(4;F,230P) based on
- linear OOA(3182, 83, F3, 4, 111) (dual of [(83, 4), 150, 112]-NRT-code), using algebraic-geometric NRT-code AG(4;F,220P) [i] based on function field F/F3 with g(F) = 71 and N(F) ≥ 84, using
- linear OOA(3172, 83, F3, 4, 101) (dual of [(83, 4), 160, 102]-NRT-code), using algebraic-geometric NRT-code AG(4;F,230P) [i] based on function field F/F3 with g(F) = 71 and N(F) ≥ 84 (see above)
- linear OOA(310, 5, F3, 4, 9) (dual of [(5, 4), 10, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(310, 7, F3, 4, 9) (dual of [(7, 4), 18, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,18P) [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(310, 7, F3, 4, 9) (dual of [(7, 4), 18, 10]-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(3192, 88, F3, 4, 110) (dual of [(88, 4), 160, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |