Information on Result #1027186
Linear OOA(4192, 67, F4, 3, 153) (dual of [(67, 3), 9, 154]-NRT-code), using juxtaposition based on
- linear OOA(430, 13, F4, 3, 27) (dual of [(13, 3), 9, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(430, 14, F4, 3, 27) (dual of [(14, 3), 12, 28]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,14P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(430, 14, F4, 3, 27) (dual of [(14, 3), 12, 28]-NRT-code), using
- linear OOA(4153, 54, F4, 3, 125) (dual of [(54, 3), 9, 126]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(472, 27, F4, 3, 62) (dual of [(27, 3), 9, 63]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,18P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- repeating each code word 2 times [i] based on linear OOA(472, 27, F4, 3, 62) (dual of [(27, 3), 9, 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(4192, 67, F4, 3, 152) (dual of [(67, 3), 9, 153]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4192, 67, F4, 3, 151) (dual of [(67, 3), 9, 152]-NRT-code) | [i] | ||
| 3 | Linear OOA(4192, 67, F4, 3, 150) (dual of [(67, 3), 9, 151]-NRT-code) | [i] | ||
| 4 | Linear OOA(4192, 67, F4, 3, 149) (dual of [(67, 3), 9, 150]-NRT-code) | [i] | ||
| 5 | Linear OOA(4192, 67, F4, 3, 148) (dual of [(67, 3), 9, 149]-NRT-code) | [i] | ||