Information on Result #1001370
Linear OOA(351, 20, F3, 3, 40) (dual of [(20, 3), 9, 41]-NRT-code), using extracting embedded OOA based on digital (11, 51, 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(351, 20, F3, 3, 39) (dual of [(20, 3), 9, 40]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3111, 40, F3, 3, 81) (dual of [(40, 3), 9, 82]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 3 | Linear OOA(3171, 60, F3, 3, 122) (dual of [(60, 3), 9, 123]-NRT-code) | [i] | ||
| 4 | Linear OOA(3149, 60, F3, 3, 81) (dual of [(60, 3), 31, 82]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(3146, 59, F3, 3, 80) (dual of [(59, 3), 31, 81]-NRT-code) | [i] | ||
| 6 | Linear OOA(3148, 60, F3, 3, 80) (dual of [(60, 3), 32, 81]-NRT-code) | [i] | ||
| 7 | Linear OOA(3219, 76, F3, 3, 162) (dual of [(76, 3), 9, 163]-NRT-code) | [i] | Juxtaposition for OOAs | |