Information on Result #1093578
Linear OOA(3235, 70, F3, 4, 140) (dual of [(70, 4), 45, 141]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,35P) 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(399, 36, F3, 4, 73) (dual of [(36, 4), 45, 74]-NRT-code), using algebraic-geometric NRT-code AG(4;F,35P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(392, 34, F3, 4, 66) (dual of [(34, 4), 44, 67]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(392, 35, F3, 4, 66) (dual of [(35, 4), 48, 67]-NRT-code), using
- algebraic-geometric NRT-code AG(4;F,73P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- discarding factors / shortening the dual code based on linear OOA(392, 35, F3, 4, 66) (dual of [(35, 4), 48, 67]-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(3235, 70, F3, 4, 139) (dual of [(70, 4), 45, 140]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3235, 70, F3, 4, 138) (dual of [(70, 4), 45, 139]-NRT-code) | [i] | ||