Information on Result #1093556
Linear OOA(3213, 61, F3, 4, 143) (dual of [(61, 4), 31, 144]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,28P) 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(3113, 36, F3, 4, 87) (dual of [(36, 4), 31, 88]-NRT-code), using algebraic-geometric NRT-code AG(4;F,28P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(370, 25, F3, 4, 55) (dual of [(25, 4), 30, 56]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(370, 28, F3, 4, 55) (dual of [(28, 4), 42, 56]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,56P) [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(370, 28, F3, 4, 55) (dual of [(28, 4), 42, 56]-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(3213, 61, F3, 4, 142) (dual of [(61, 4), 31, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3213, 61, F3, 4, 141) (dual of [(61, 4), 31, 142]-NRT-code) | [i] | ||
| 3 | Linear OOA(3213, 61, F3, 4, 140) (dual of [(61, 4), 31, 141]-NRT-code) | [i] | ||