Information on Result #2876825
Linear OOA(3197, 689, F3, 5, 41) (dual of [(689, 5), 3248, 42]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3192, 688, F3, 5, 41) (dual of [(688, 5), 3248, 42]-NRT-code), using
- extracting embedded OOA [i] based on digital (151, 192, 688)-net over F3, using
- trace code for nets [i] based on digital (7, 48, 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
- trace code for nets [i] based on digital (7, 48, 172)-net 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(3198, 689, F3, 5, 41) (dual of [(689, 5), 3247, 42]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3199, 689, F3, 5, 41) (dual of [(689, 5), 3246, 42]-NRT-code) | [i] | ||
| 3 | Linear OOA(3200, 689, F3, 5, 41) (dual of [(689, 5), 3245, 42]-NRT-code) | [i] | ||
| 4 | Linear OOA(3201, 689, F3, 5, 41) (dual of [(689, 5), 3244, 42]-NRT-code) | [i] | ||