Information on Result #1090270
Linear OOA(3232, 69, F3, 4, 138) (dual of [(69, 4), 44, 139]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,69P) based on
- linear OOA(3139, 35, F3, 4, 139) (dual of [(35, 4), 1, 140]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- linear OOA(396, 35, F3, 4, 70) (dual of [(35, 4), 44, 71]-NRT-code), using algebraic-geometric NRT-code AG(4;F,69P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(393, 34, F3, 4, 67) (dual of [(34, 4), 43, 68]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(393, 35, F3, 4, 67) (dual of [(35, 4), 47, 68]-NRT-code), using
- algebraic-geometric NRT-code AG(4;F,72P) [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(393, 35, F3, 4, 67) (dual of [(35, 4), 47, 68]-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(3232, 69, F3, 4, 137) (dual of [(69, 4), 44, 138]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3232, 69, F3, 4, 136) (dual of [(69, 4), 44, 137]-NRT-code) | [i] | ||