Information on Result #1567783
Linear OOA(258, 52, F2, 3, 20) (dual of [(52, 3), 98, 21]-NRT-code), using extracting embedded OOA based on digital (38, 58, 52)-net over F2, using
- trace code for nets [i] based on digital (9, 29, 26)-net over F4, using
- net from sequence [i] based on digital (9, 25)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 9 and N(F) ≥ 26, using
- net from sequence [i] based on digital (9, 25)-sequence over F4, using
Mode: 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(258, 52, F2, 4, 20) (dual of [(52, 4), 150, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(258, 52, F2, 5, 20) (dual of [(52, 5), 202, 21]-NRT-code) | [i] | ||
3 | Linear OOA(258, 52, F2, 6, 20) (dual of [(52, 6), 254, 21]-NRT-code) | [i] | ||
4 | Linear OOA(258, 52, F2, 7, 20) (dual of [(52, 7), 306, 21]-NRT-code) | [i] | ||
5 | Linear OOA(258, 52, F2, 8, 20) (dual of [(52, 8), 358, 21]-NRT-code) | [i] |