Information on Result #1026366
Linear OOA(3194, 67, F3, 3, 148) (dual of [(67, 3), 7, 149]-NRT-code), using juxtaposition based on
- linear OOA(326, 11, F3, 3, 22) (dual of [(11, 3), 7, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(326, 12, F3, 3, 22) (dual of [(12, 3), 10, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,13P) [i] based on function field F/F3 with g(F) = 4 and N(F) ≥ 12, using
- discarding factors / shortening the dual code based on linear OOA(326, 12, F3, 3, 22) (dual of [(12, 3), 10, 23]-NRT-code), using
- linear OOA(3161, 56, F3, 3, 125) (dual of [(56, 3), 7, 126]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(377, 28, F3, 3, 62) (dual of [(28, 3), 7, 63]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,21P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- repeating each code word 2 times [i] based on linear OOA(377, 28, F3, 3, 62) (dual of [(28, 3), 7, 63]-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(3194, 67, F3, 3, 147) (dual of [(67, 3), 7, 148]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3194, 67, F3, 3, 146) (dual of [(67, 3), 7, 147]-NRT-code) | [i] | ||
| 3 | Linear OOA(3194, 67, F3, 3, 145) (dual of [(67, 3), 7, 146]-NRT-code) | [i] | ||
| 4 | Linear OOA(3194, 67, F3, 3, 144) (dual of [(67, 3), 7, 145]-NRT-code) | [i] | ||
| 5 | Linear OOA(3194, 67, F3, 3, 143) (dual of [(67, 3), 7, 144]-NRT-code) | [i] | ||
| 6 | Linear OOA(3227, 78, F3, 3, 171) (dual of [(78, 3), 7, 172]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 7 | Linear OOA(3230, 79, F3, 3, 174) (dual of [(79, 3), 7, 175]-NRT-code) | [i] | ||