Information on Result #1077101
Linear OOA(3184, 688, F3, 4, 39) (dual of [(688, 4), 2568, 40]-NRT-code), using extracting embedded OOA based on digital (145, 184, 688)-net over F3, using
- trace code for nets [i] based on digital (7, 46, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-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(3188, 689, F3, 4, 39) (dual of [(689, 4), 2568, 40]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3192, 690, F3, 4, 39) (dual of [(690, 4), 2568, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(3196, 691, F3, 4, 39) (dual of [(691, 4), 2568, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(3200, 692, F3, 4, 39) (dual of [(692, 4), 2568, 40]-NRT-code) | [i] | ||
| 5 | Linear OOA(3185, 688, F3, 4, 39) (dual of [(688, 4), 2567, 40]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3186, 688, F3, 4, 39) (dual of [(688, 4), 2566, 40]-NRT-code) | [i] | ||
| 7 | Linear OOA(3187, 688, F3, 4, 39) (dual of [(688, 4), 2565, 40]-NRT-code) | [i] | ||
| 8 | Linear OOA(3203, 693, F3, 4, 39) (dual of [(693, 4), 2569, 40]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 9 | Linear OOA(3204, 695, F3, 4, 39) (dual of [(695, 4), 2576, 40]-NRT-code) | [i] | ||
| 10 | Linear OOA(3205, 696, F3, 4, 39) (dual of [(696, 4), 2579, 40]-NRT-code) | [i] | ||
| 11 | Linear OOA(3206, 698, F3, 4, 39) (dual of [(698, 4), 2586, 40]-NRT-code) | [i] | ||