Information on Result #1027294
Linear OOA(4194, 67, F4, 3, 159) (dual of [(67, 3), 7, 160]-NRT-code), using juxtaposition based on
- linear OOA(432, 13, F4, 3, 29) (dual of [(13, 3), 7, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(432, 14, F4, 3, 29) (dual of [(14, 3), 10, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [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(432, 14, F4, 3, 29) (dual of [(14, 3), 10, 30]-NRT-code), using
- linear OOA(4155, 54, F4, 3, 129) (dual of [(54, 3), 7, 130]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(474, 27, F4, 3, 64) (dual of [(27, 3), 7, 65]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,16P) [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(474, 27, F4, 3, 64) (dual of [(27, 3), 7, 65]-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(4194, 67, F4, 3, 158) (dual of [(67, 3), 7, 159]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4194, 67, F4, 3, 157) (dual of [(67, 3), 7, 158]-NRT-code) | [i] | ||
| 3 | Linear OOA(4194, 67, F4, 3, 156) (dual of [(67, 3), 7, 157]-NRT-code) | [i] | ||
| 4 | Linear OOA(4194, 67, F4, 3, 155) (dual of [(67, 3), 7, 156]-NRT-code) | [i] | ||
| 5 | Linear OOA(4194, 67, F4, 3, 154) (dual of [(67, 3), 7, 155]-NRT-code) | [i] | ||