Information on Result #1002699
Linear OOA(3244, 688, F3, 3, 54) (dual of [(688, 3), 1820, 55]-NRT-code), using extracting embedded OOA based on digital (190, 244, 688)-net over F3, using
- trace code for nets [i] based on digital (7, 61, 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(3247, 689, F3, 3, 54) (dual of [(689, 3), 1820, 55]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3250, 690, F3, 3, 54) (dual of [(690, 3), 1820, 55]-NRT-code) | [i] | ||
| 3 | Linear OOA(3245, 688, F3, 3, 54) (dual of [(688, 3), 1819, 55]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3246, 688, F3, 3, 54) (dual of [(688, 3), 1818, 55]-NRT-code) | [i] | ||
| 5 | Linear OOA(3244, 344, F3, 5, 54) (dual of [(344, 5), 1476, 55]-NRT-code) | [i] | OOA Folding | |