Information on Result #1112905
Linear OOA(3192, 688, F3, 5, 41) (dual of [(688, 5), 3248, 42]-NRT-code), using extracting embedded OOA 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
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(3192, 688, F3, 5, 40) (dual of [(688, 5), 3248, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3197, 689, F3, 5, 41) (dual of [(689, 5), 3248, 42]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3202, 690, F3, 5, 41) (dual of [(690, 5), 3248, 42]-NRT-code) | [i] | ||
| 4 | Linear OOA(3207, 691, F3, 5, 41) (dual of [(691, 5), 3248, 42]-NRT-code) | [i] | ||
| 5 | Linear OOA(3212, 692, F3, 5, 41) (dual of [(692, 5), 3248, 42]-NRT-code) | [i] | ||
| 6 | Linear OOA(3193, 688, F3, 5, 41) (dual of [(688, 5), 3247, 42]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(3194, 688, F3, 5, 41) (dual of [(688, 5), 3246, 42]-NRT-code) | [i] | ||
| 8 | Linear OOA(3195, 688, F3, 5, 41) (dual of [(688, 5), 3245, 42]-NRT-code) | [i] | ||
| 9 | Linear OOA(3213, 695, F3, 5, 41) (dual of [(695, 5), 3262, 42]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(3214, 696, F3, 5, 41) (dual of [(696, 5), 3266, 42]-NRT-code) | [i] | ||
| 11 | Linear OOA(3215, 698, F3, 5, 41) (dual of [(698, 5), 3275, 42]-NRT-code) | [i] | ||