Information on Result #1027579
Linear OOA(4243, 82, F4, 3, 217) (dual of [(82, 3), 3, 218]-NRT-code), using juxtaposition based on
- linear OOA(412, 5, F4, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,4) [i]
- linear OOA(4228, 77, F4, 3, 204) (dual of [(77, 3), 3, 205]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(412, 5, F4, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code) (see above)
- linear OOA(4213, 72, F4, 3, 191) (dual of [(72, 3), 3, 192]-NRT-code), using
- repeating each code word 8 times [i] based on linear OOA(424, 9, F4, 3, 23) (dual of [(9, 3), 3, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,3P) [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,3P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- repeating each code word 8 times [i] based on linear OOA(424, 9, F4, 3, 23) (dual of [(9, 3), 3, 24]-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(4237, 80, F4, 3, 211) (dual of [(80, 3), 3, 212]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(4235, 79, F4, 3, 209) (dual of [(79, 3), 2, 210]-NRT-code) | [i] | ||
| 3 | Linear OOA(4234, 79, F4, 3, 208) (dual of [(79, 3), 3, 209]-NRT-code) | [i] | ||
| 4 | Linear OOA(4231, 78, F4, 3, 205) (dual of [(78, 3), 3, 206]-NRT-code) | [i] | ||
| 5 | Linear OOA(4229, 77, F4, 3, 203) (dual of [(77, 3), 2, 204]-NRT-code) | [i] | ||
| 6 | Linear OOA(4258, 87, F4, 3, 230) (dual of [(87, 3), 3, 231]-NRT-code) | [i] | Juxtaposition for OOAs | |