Information on Result #1027580
Linear OOA(4255, 86, F4, 3, 228) (dual of [(86, 3), 3, 229]-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(4240, 81, F4, 3, 215) (dual of [(81, 3), 3, 216]-NRT-code), using
- repeating each code word 9 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 9 times [i] based on linear OOA(424, 9, F4, 3, 23) (dual of [(9, 3), 3, 24]-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(4247, 83, F4, 3, 220) (dual of [(83, 3), 2, 221]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(4244, 82, F4, 3, 217) (dual of [(82, 3), 2, 218]-NRT-code) | [i] | ||
| 3 | Linear OOA(4237, 80, F4, 3, 210) (dual of [(80, 3), 3, 211]-NRT-code) | [i] | ||