Information on Result #1093308
Linear OOA(3137, 41, F3, 4, 101) (dual of [(41, 4), 27, 102]-NRT-code), using construction X applied to AG(4;F,21P) ⊂ AG(4;F,26P) based on
- linear OOA(3127, 36, F3, 4, 101) (dual of [(36, 4), 17, 102]-NRT-code), using algebraic-geometric NRT-code AG(4;F,21P) 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(3117, 36, F3, 4, 91) (dual of [(36, 4), 27, 92]-NRT-code), using algebraic-geometric NRT-code AG(4;F,26P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (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: 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(3137, 41, F3, 4, 100) (dual of [(41, 4), 27, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3138, 41, F3, 4, 101) (dual of [(41, 4), 26, 102]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3214, 78, F3, 4, 101) (dual of [(78, 4), 98, 102]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |