Information on Result #1112637
Linear OOA(3177, 288, F3, 5, 48) (dual of [(288, 5), 1263, 49]-NRT-code), using extracting embedded OOA based on digital (129, 177, 288)-net over F3, using
- trace code for nets [i] based on digital (11, 59, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, 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(3177, 288, F3, 5, 47) (dual of [(288, 5), 1263, 48]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3182, 289, F3, 5, 48) (dual of [(289, 5), 1263, 49]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3187, 290, F3, 5, 48) (dual of [(290, 5), 1263, 49]-NRT-code) | [i] | ||
| 4 | Linear OOA(3178, 288, F3, 5, 48) (dual of [(288, 5), 1262, 49]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3179, 288, F3, 5, 48) (dual of [(288, 5), 1261, 49]-NRT-code) | [i] | ||
| 6 | Linear OOA(3181, 288, F3, 5, 48) (dual of [(288, 5), 1259, 49]-NRT-code) | [i] | ||