Information on Result #1093498
Linear OOA(3142, 44, F3, 4, 99) (dual of [(44, 4), 34, 100]-NRT-code), using construction X applied to AG(4;F,22P) ⊂ AG(4;F,30P) based on
- linear OOA(3125, 36, F3, 4, 99) (dual of [(36, 4), 19, 100]-NRT-code), using algebraic-geometric NRT-code AG(4;F,22P) 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(317, 8, F3, 4, 15) (dual of [(8, 4), 15, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,16P) [i] based on function field F/F3 with g(F) = 2 and N(F) ≥ 8, 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(3142, 44, F3, 4, 98) (dual of [(44, 4), 34, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |