Information on Result #1093554
Linear OOA(3207, 59, F3, 4, 141) (dual of [(59, 4), 29, 142]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,27P) based on
- linear OOA(3143, 36, F3, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
- linear OOA(3115, 36, F3, 4, 89) (dual of [(36, 4), 29, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,27P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(364, 23, F3, 4, 51) (dual of [(23, 4), 28, 52]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(364, 24, F3, 4, 51) (dual of [(24, 4), 32, 52]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,44P) [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(364, 24, F3, 4, 51) (dual of [(24, 4), 32, 52]-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(3207, 59, F3, 4, 140) (dual of [(59, 4), 29, 141]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3203, 58, F3, 4, 137) (dual of [(58, 4), 29, 138]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3202, 57, F3, 4, 136) (dual of [(57, 4), 26, 137]-NRT-code) | [i] | ||
| 4 | Linear OOA(3201, 57, F3, 4, 135) (dual of [(57, 4), 27, 136]-NRT-code) | [i] | ||
| 5 | Linear OOA(3200, 57, F3, 4, 134) (dual of [(57, 4), 28, 135]-NRT-code) | [i] | ||
| 6 | Linear OOA(3199, 57, F3, 4, 133) (dual of [(57, 4), 29, 134]-NRT-code) | [i] | ||