Information on Result #1087141
Linear OOA(3205, 58, F3, 4, 143) (dual of [(58, 4), 27, 144]-NRT-code), using juxtaposition based on
- linear OOA(381, 27, F3, 4, 66) (dual of [(27, 4), 27, 67]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(381, 28, F3, 4, 66) (dual of [(28, 4), 31, 67]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,45P) [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(381, 28, F3, 4, 66) (dual of [(28, 4), 31, 67]-NRT-code), using
- linear OOA(397, 31, F3, 4, 76) (dual of [(31, 4), 27, 77]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(397, 32, F3, 4, 76) (dual of [(32, 4), 31, 77]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,51P) [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
- discarding factors / shortening the dual code based on linear OOA(397, 32, F3, 4, 76) (dual of [(32, 4), 31, 77]-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(3205, 58, F3, 4, 142) (dual of [(58, 4), 27, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3205, 58, F3, 4, 141) (dual of [(58, 4), 27, 142]-NRT-code) | [i] | ||
| 3 | Linear OOA(3205, 58, F3, 4, 140) (dual of [(58, 4), 27, 141]-NRT-code) | [i] | ||
| 4 | Linear OOA(3205, 58, F3, 4, 139) (dual of [(58, 4), 27, 140]-NRT-code) | [i] | ||
| 5 | Linear OOA(3205, 58, F3, 4, 138) (dual of [(58, 4), 27, 139]-NRT-code) | [i] | ||