Information on Result #1000983
Linear OOA(2208, 260, F2, 3, 46) (dual of [(260, 3), 572, 47]-NRT-code), using extracting embedded OOA based on digital (162, 208, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 52, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, 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(2211, 261, F2, 3, 46) (dual of [(261, 3), 572, 47]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2214, 262, F2, 3, 46) (dual of [(262, 3), 572, 47]-NRT-code) | [i] | ||
| 3 | Linear OOA(2217, 263, F2, 3, 46) (dual of [(263, 3), 572, 47]-NRT-code) | [i] | ||
| 4 | Linear OOA(2220, 264, F2, 3, 46) (dual of [(264, 3), 572, 47]-NRT-code) | [i] | ||
| 5 | Linear OOA(2223, 265, F2, 3, 46) (dual of [(265, 3), 572, 47]-NRT-code) | [i] | ||
| 6 | Linear OOA(2209, 260, F2, 3, 46) (dual of [(260, 3), 571, 47]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2210, 260, F2, 3, 46) (dual of [(260, 3), 570, 47]-NRT-code) | [i] | ||
| 8 | Linear OOA(2208, 130, F2, 5, 46) (dual of [(130, 5), 442, 47]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(2208, 130, F2, 6, 46) (dual of [(130, 6), 572, 47]-NRT-code) | [i] | ||