Information on Result #1093338
Linear OOA(3117, 41, F3, 4, 81) (dual of [(41, 4), 47, 82]-NRT-code), using construction X applied to AG(4;F,31P) ⊂ AG(4;F,36P) based on
- linear OOA(3107, 36, F3, 4, 81) (dual of [(36, 4), 37, 82]-NRT-code), using algebraic-geometric NRT-code AG(4;F,31P) 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(397, 36, F3, 4, 71) (dual of [(36, 4), 47, 72]-NRT-code), using algebraic-geometric NRT-code AG(4;F,36P) 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(3117, 41, F3, 4, 80) (dual of [(41, 4), 47, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3118, 41, F3, 4, 81) (dual of [(41, 4), 46, 82]-NRT-code) | [i] | OOA Duplication | |