Information on Result #1027450
Linear OOA(4217, 74, F4, 3, 183) (dual of [(74, 3), 5, 184]-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(4190, 65, F4, 3, 161) (dual of [(65, 3), 5, 162]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(422, 9, F4, 3, 21) (dual of [(9, 3), 5, 22]-NRT-code) (see above)
- 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
- juxtaposition [i] based on
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(4210, 71, F4, 3, 176) (dual of [(71, 3), 3, 177]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(4204, 69, F4, 3, 170) (dual of [(69, 3), 3, 171]-NRT-code) | [i] | ||
| 3 | Linear OOA(4203, 69, F4, 3, 169) (dual of [(69, 3), 4, 170]-NRT-code) | [i] | ||
| 4 | Linear OOA(4202, 69, F4, 3, 168) (dual of [(69, 3), 5, 169]-NRT-code) | [i] | ||