Information on Result #1076054
Linear OOA(378, 37, F3, 4, 51) (dual of [(37, 4), 70, 52]-NRT-code), using extracting embedded OOA based on digital (27, 78, 37)-net over F3, using
- net from sequence [i] based on digital (27, 36)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 26, N(F) = 36, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, 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(382, 38, F3, 4, 51) (dual of [(38, 4), 70, 52]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3207, 74, F3, 4, 102) (dual of [(74, 4), 89, 103]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3219, 79, F3, 4, 102) (dual of [(79, 4), 97, 103]-NRT-code) | [i] | ||
| 4 | Linear OOA(3225, 85, F3, 4, 102) (dual of [(85, 4), 115, 103]-NRT-code) | [i] | ||
| 5 | Linear OOA(3208, 74, F3, 4, 103) (dual of [(74, 4), 88, 104]-NRT-code) | [i] | ||
| 6 | Linear OOA(3220, 79, F3, 4, 103) (dual of [(79, 4), 96, 104]-NRT-code) | [i] | ||
| 7 | Linear OOA(3226, 85, F3, 4, 103) (dual of [(85, 4), 114, 104]-NRT-code) | [i] | ||
| 8 | Linear OOA(3215, 77, F3, 4, 102) (dual of [(77, 4), 93, 103]-NRT-code) | [i] | ||
| 9 | Linear OOA(3217, 78, F3, 4, 102) (dual of [(78, 4), 95, 103]-NRT-code) | [i] | ||
| 10 | Linear OOA(3216, 77, F3, 4, 103) (dual of [(77, 4), 92, 104]-NRT-code) | [i] | ||
| 11 | Linear OOA(3217, 78, F3, 4, 103) (dual of [(78, 4), 95, 104]-NRT-code) | [i] | ||
| 12 | Linear OOA(3219, 79, F3, 4, 103) (dual of [(79, 4), 97, 104]-NRT-code) | [i] | ||