Information on Result #1093563
Linear OOA(3206, 60, F3, 4, 134) (dual of [(60, 4), 34, 135]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,30P) 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(3109, 36, F3, 4, 83) (dual of [(36, 4), 35, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,30P) with degPÂ =Â 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
- linear OOA(363, 24, F3, 4, 50) (dual of [(24, 4), 33, 51]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,45P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, 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(3206, 60, F3, 4, 133) (dual of [(60, 4), 34, 134]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3206, 60, F3, 4, 132) (dual of [(60, 4), 34, 133]-NRT-code) | [i] | ||