Information on Result #1082237
Linear OOA(3238, 72, F3, 4, 138) (dual of [(72, 4), 50, 139]-NRT-code), using (u, u+v)-construction based on
- linear OOA(395, 36, F3, 4, 69) (dual of [(36, 4), 49, 70]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,74P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(4;F,37P) 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(3143, 36, F3, 4, 138) (dual of [(36, 4), 1, 139]-NRT-code), using
- strength reduction [i] based on linear OOA(3143, 36, F3, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using
- dual of repetition NRT-code with length 36 [i]
- strength reduction [i] based on linear OOA(3143, 36, F3, 4, 143) (dual of [(36, 4), 1, 144]-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(3238, 72, F3, 4, 137) (dual of [(72, 4), 50, 138]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3238, 72, F3, 4, 136) (dual of [(72, 4), 50, 137]-NRT-code) | [i] | ||