Information on Result #1075952
Linear OOA(366, 20, F3, 4, 55) (dual of [(20, 4), 14, 56]-NRT-code), using extracting embedded OOA based on digital (11, 66, 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(366, 20, F3, 4, 54) (dual of [(20, 4), 14, 55]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3146, 40, F3, 4, 111) (dual of [(40, 4), 14, 112]-NRT-code) | [i] | Repeating Each Code Word for NRT-Codes | |
3 | Linear OOA(3226, 60, F3, 4, 167) (dual of [(60, 4), 14, 168]-NRT-code) | [i] | ||
4 | Linear OOA(3233, 62, F3, 4, 167) (dual of [(62, 4), 15, 168]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
5 | Linear OOA(3192, 59, F3, 4, 111) (dual of [(59, 4), 44, 112]-NRT-code) | [i] | ||
6 | Linear OOA(3194, 60, F3, 4, 111) (dual of [(60, 4), 46, 112]-NRT-code) | [i] | ||
7 | Linear OOA(3191, 59, F3, 4, 110) (dual of [(59, 4), 45, 111]-NRT-code) | [i] | ||
8 | Linear OOA(3193, 60, F3, 4, 110) (dual of [(60, 4), 47, 111]-NRT-code) | [i] |