Information on Result #1001334
Linear OOA(345, 20, F3, 3, 34) (dual of [(20, 3), 15, 35]-NRT-code), using extracting embedded OOA based on digital (11, 45, 20)-net over F3, using
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 9, N(F) = 19, and 1 place with degree 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, 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(345, 20, F3, 3, 33) (dual of [(20, 3), 15, 34]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3215, 168, F3, 3, 68) (dual of [(168, 3), 289, 69]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3217, 168, F3, 3, 69) (dual of [(168, 3), 287, 70]-NRT-code) | [i] | ||
| 4 | Linear OOA(3164, 60, F3, 3, 104) (dual of [(60, 3), 16, 105]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(3137, 59, F3, 3, 69) (dual of [(59, 3), 40, 70]-NRT-code) | [i] | ||
| 6 | Linear OOA(3136, 59, F3, 3, 68) (dual of [(59, 3), 41, 69]-NRT-code) | [i] | ||
| 7 | Linear OOA(3213, 76, F3, 3, 144) (dual of [(76, 3), 15, 145]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 8 | Linear OOA(345, 10, F3, 5, 34) (dual of [(10, 5), 5, 35]-NRT-code) | [i] | OOA Folding | |