Information on Result #1082257
Linear OOA(3240, 72, F3, 4, 142) (dual of [(72, 4), 48, 143]-NRT-code), using (u, u+v)-construction based on
- linear OOA(397, 36, F3, 4, 71) (dual of [(36, 4), 47, 72]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,72P) [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using
- algebraic-geometric NRT-code AG(4;F,36P) 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, 142) (dual of [(36, 4), 1, 143]-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(3240, 72, F3, 4, 141) (dual of [(72, 4), 48, 142]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3240, 72, F3, 4, 140) (dual of [(72, 4), 48, 141]-NRT-code) | [i] | ||
| 3 | Linear OOA(3240, 72, F3, 4, 139) (dual of [(72, 4), 48, 140]-NRT-code) | [i] | ||
| 4 | Linear OOA(3240, 72, F3, 4, 138) (dual of [(72, 4), 48, 139]-NRT-code) | [i] | ||
| 5 | Linear OOA(3241, 72, F3, 4, 142) (dual of [(72, 4), 47, 143]-NRT-code) | [i] | OOA Duplication | |