Information on Result #1001315
Linear OOA(342, 20, F3, 3, 31) (dual of [(20, 3), 18, 32]-NRT-code), using extracting embedded OOA based on digital (11, 42, 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(342, 20, F3, 3, 30) (dual of [(20, 3), 18, 31]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3210, 76, F3, 3, 135) (dual of [(76, 3), 18, 136]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 3 | Linear OOA(342, 10, F3, 5, 31) (dual of [(10, 5), 8, 32]-NRT-code) | [i] | OOA Folding | |