Information on Result #1075931
Linear OOA(363, 20, F3, 4, 52) (dual of [(20, 4), 17, 53]-NRT-code), using extracting embedded OOA based on digital (11, 63, 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(363, 20, F3, 4, 51) (dual of [(20, 4), 17, 52]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3143, 40, F3, 4, 105) (dual of [(40, 4), 17, 106]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
| 3 | Linear OOA(3222, 60, F3, 4, 158) (dual of [(60, 4), 18, 159]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(3187, 59, F3, 4, 105) (dual of [(59, 4), 49, 106]-NRT-code) | [i] | ||
| 5 | Linear OOA(3189, 60, F3, 4, 105) (dual of [(60, 4), 51, 106]-NRT-code) | [i] | ||
| 6 | Linear OOA(3186, 59, F3, 4, 104) (dual of [(59, 4), 50, 105]-NRT-code) | [i] | ||
| 7 | Linear OOA(3188, 60, F3, 4, 104) (dual of [(60, 4), 52, 105]-NRT-code) | [i] | ||