Information on Result #1087190
Linear OOA(3177, 50, F3, 4, 127) (dual of [(50, 4), 23, 128]-NRT-code), using juxtaposition based on
- linear OOA(369, 23, F3, 4, 56) (dual of [(23, 4), 23, 57]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(369, 24, F3, 4, 56) (dual of [(24, 4), 27, 57]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,39P) [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(369, 24, F3, 4, 56) (dual of [(24, 4), 27, 57]-NRT-code), using
- linear OOA(385, 27, F3, 4, 70) (dual of [(27, 4), 23, 71]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(385, 28, F3, 4, 70) (dual of [(28, 4), 27, 71]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,41P) [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(385, 28, F3, 4, 70) (dual of [(28, 4), 27, 71]-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(3177, 50, F3, 4, 126) (dual of [(50, 4), 23, 127]-NRT-code) | [i] | Strength Reduction for OOAs | |