Information on Result #1093559
Linear OOA(3215, 62, F3, 4, 143) (dual of [(62, 4), 33, 144]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,29P) 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(3111, 36, F3, 4, 85) (dual of [(36, 4), 33, 86]-NRT-code), using algebraic-geometric NRT-code AG(4;F,29P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(372, 26, F3, 4, 57) (dual of [(26, 4), 32, 58]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(372, 28, F3, 4, 57) (dual of [(28, 4), 40, 58]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,54P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(372, 28, F3, 4, 57) (dual of [(28, 4), 40, 58]-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(3215, 62, F3, 4, 142) (dual of [(62, 4), 33, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3214, 61, F3, 4, 142) (dual of [(61, 4), 30, 143]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3212, 61, F3, 4, 140) (dual of [(61, 4), 32, 141]-NRT-code) | [i] | ||