Information on Result #2800175
Linear OOA(3176, 689, F3, 4, 36) (dual of [(689, 4), 2580, 37]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3172, 688, F3, 4, 36) (dual of [(688, 4), 2580, 37]-NRT-code), using
- extracting embedded OOA [i] based on digital (136, 172, 688)-net over F3, using
- trace code for nets [i] based on digital (7, 43, 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, 43, 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(3177, 689, F3, 4, 36) (dual of [(689, 4), 2579, 37]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3178, 689, F3, 4, 36) (dual of [(689, 4), 2578, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(3179, 689, F3, 4, 36) (dual of [(689, 4), 2577, 37]-NRT-code) | [i] | ||