Information on Result #1027448
Linear OOA(4190, 65, F4, 3, 161) (dual of [(65, 3), 5, 162]-NRT-code), using juxtaposition based on
- linear OOA(422, 9, F4, 3, 21) (dual of [(9, 3), 5, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4163, 56, F4, 3, 139) (dual of [(56, 3), 5, 140]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(437, 14, F4, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- repeating each code word 4 times [i] based on linear OOA(437, 14, F4, 3, 34) (dual of [(14, 3), 5, 35]-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(4190, 65, F4, 3, 160) (dual of [(65, 3), 5, 161]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4183, 62, F4, 3, 154) (dual of [(62, 3), 3, 155]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(4182, 62, F4, 3, 153) (dual of [(62, 3), 4, 154]-NRT-code) | [i] | ||
| 4 | Linear OOA(4180, 61, F4, 3, 151) (dual of [(61, 3), 3, 152]-NRT-code) | [i] | ||
| 5 | Linear OOA(4217, 74, F4, 3, 183) (dual of [(74, 3), 5, 184]-NRT-code) | [i] | Juxtaposition for OOAs | |