Information on Result #1076446
Linear OOA(3125, 37, F3, 4, 98) (dual of [(37, 4), 23, 99]-NRT-code), using extracting embedded OOA based on digital (27, 125, 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(3129, 38, F3, 4, 98) (dual of [(38, 4), 23, 99]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3189, 65, F3, 4, 98) (dual of [(65, 4), 71, 99]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3195, 69, F3, 4, 98) (dual of [(69, 4), 81, 99]-NRT-code) | [i] | ||
| 4 | Linear OOA(3200, 73, F3, 4, 98) (dual of [(73, 4), 92, 99]-NRT-code) | [i] | ||
| 5 | Linear OOA(3201, 74, F3, 4, 98) (dual of [(74, 4), 95, 99]-NRT-code) | [i] | ||
| 6 | Linear OOA(3221, 61, F3, 4, 159) (dual of [(61, 4), 23, 160]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 7 | Linear OOA(3237, 65, F3, 4, 173) (dual of [(65, 4), 23, 174]-NRT-code) | [i] | ||
| 8 | Linear OOA(3249, 68, F3, 4, 179) (dual of [(68, 4), 23, 180]-NRT-code) | [i] | ||