Information on Result #1000578
Linear OOA(299, 72, F2, 3, 30) (dual of [(72, 3), 117, 31]-NRT-code), using extracting embedded OOA based on digital (69, 99, 72)-net over F2, using
- trace code for nets [i] based on digital (3, 33, 24)-net over F8, using
- net from sequence [i] based on digital (3, 23)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- net from sequence [i] based on digital (3, 23)-sequence over F8, 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(2100, 72, F2, 3, 30) (dual of [(72, 3), 116, 31]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2101, 72, F2, 3, 30) (dual of [(72, 3), 115, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(299, 36, F2, 5, 30) (dual of [(36, 5), 81, 31]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(299, 36, F2, 6, 30) (dual of [(36, 6), 117, 31]-NRT-code) | [i] | ||