Information on Result #1027290
Linear OOA(4188, 65, F4, 3, 153) (dual of [(65, 3), 7, 154]-NRT-code), using juxtaposition based on
- linear OOA(426, 11, F4, 3, 23) (dual of [(11, 3), 7, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(426, 14, F4, 3, 23) (dual of [(14, 3), 16, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,18P) [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(426, 14, F4, 3, 23) (dual of [(14, 3), 16, 24]-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(4188, 65, F4, 3, 152) (dual of [(65, 3), 7, 153]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4188, 65, F4, 3, 151) (dual of [(65, 3), 7, 152]-NRT-code) | [i] | ||
| 3 | Linear OOA(4188, 65, F4, 3, 150) (dual of [(65, 3), 7, 151]-NRT-code) | [i] | ||