Information on Result #1001643
Linear OOA(390, 37, F3, 3, 63) (dual of [(37, 3), 21, 64]-NRT-code), using extracting embedded OOA based on digital (27, 90, 37)-net over F3, using
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 26, N(F) = 36, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
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(3201, 74, F3, 3, 127) (dual of [(74, 3), 21, 128]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 2 | Linear OOA(3136, 65, F3, 3, 63) (dual of [(65, 3), 59, 64]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3216, 79, F3, 3, 126) (dual of [(79, 3), 21, 127]-NRT-code) | [i] | ||
| 4 | Linear OOA(3218, 80, F3, 3, 126) (dual of [(80, 3), 22, 127]-NRT-code) | [i] | ||
| 5 | Linear OOA(3218, 80, F3, 3, 127) (dual of [(80, 3), 22, 128]-NRT-code) | [i] | ||
| 6 | Linear OOA(3162, 61, F3, 3, 102) (dual of [(61, 3), 21, 103]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 7 | Linear OOA(3174, 65, F3, 3, 112) (dual of [(65, 3), 21, 113]-NRT-code) | [i] | ||
| 8 | Linear OOA(3183, 68, F3, 3, 115) (dual of [(68, 3), 21, 116]-NRT-code) | [i] | ||
| 9 | Linear OOA(3186, 69, F3, 3, 118) (dual of [(69, 3), 21, 119]-NRT-code) | [i] | ||
| 10 | Linear OOA(3198, 73, F3, 3, 125) (dual of [(73, 3), 21, 126]-NRT-code) | [i] | ||