Information on Result #1077624
Linear OOA(3212, 640, F3, 4, 48) (dual of [(640, 4), 2348, 49]-NRT-code), using extracting embedded OOA based on digital (164, 212, 640)-net over F3, using
- trace code for nets [i] based on digital (5, 53, 160)-net over F81, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
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(3216, 641, F3, 4, 48) (dual of [(641, 4), 2348, 49]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3213, 640, F3, 4, 48) (dual of [(640, 4), 2347, 49]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3214, 640, F3, 4, 48) (dual of [(640, 4), 2346, 49]-NRT-code) | [i] | ||
| 4 | Linear OOA(3215, 640, F3, 4, 48) (dual of [(640, 4), 2345, 49]-NRT-code) | [i] | ||