Information on Result #1026482
Linear OOA(3193, 66, F3, 3, 152) (dual of [(66, 3), 5, 153]-NRT-code), using juxtaposition based on
- linear OOA(313, 6, F3, 3, 12) (dual of [(6, 3), 5, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(313, 7, F3, 3, 12) (dual of [(7, 3), 8, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,8P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(313, 7, F3, 3, 12) (dual of [(7, 3), 8, 13]-NRT-code), using
- linear OOA(3175, 60, F3, 3, 139) (dual of [(60, 3), 5, 140]-NRT-code), using
- repeating each code word 5 times [i] based on linear OOA(331, 12, F3, 3, 27) (dual of [(12, 3), 5, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,8P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- repeating each code word 5 times [i] based on linear OOA(331, 12, F3, 3, 27) (dual of [(12, 3), 5, 28]-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(3193, 66, F3, 3, 151) (dual of [(66, 3), 5, 152]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3193, 66, F3, 3, 150) (dual of [(66, 3), 5, 151]-NRT-code) | [i] | ||
| 3 | Linear OOA(3214, 73, F3, 3, 168) (dual of [(73, 3), 5, 169]-NRT-code) | [i] | Juxtaposition for OOAs | |