Information on Result #1076489
Linear OOA(3130, 37, F3, 4, 103) (dual of [(37, 4), 18, 104]-NRT-code), using extracting embedded OOA based on digital (27, 130, 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(3134, 38, F3, 4, 103) (dual of [(38, 4), 18, 104]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3202, 69, F3, 4, 103) (dual of [(69, 4), 74, 104]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3207, 73, F3, 4, 103) (dual of [(73, 4), 85, 104]-NRT-code) | [i] | ||
| 4 | Linear OOA(3208, 74, F3, 4, 103) (dual of [(74, 4), 88, 104]-NRT-code) | [i] | ||
| 5 | Linear OOA(3226, 61, F3, 4, 169) (dual of [(61, 4), 18, 170]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 6 | Linear OOA(3242, 65, F3, 4, 183) (dual of [(65, 4), 18, 184]-NRT-code) | [i] | ||
| 7 | Linear OOA(3250, 67, F3, 4, 185) (dual of [(67, 4), 18, 186]-NRT-code) | [i] | ||