Information on Result #2963458
Linear OOA(2219, 261, F2, 7, 47) (dual of [(261, 7), 1608, 48]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2212, 260, F2, 7, 47) (dual of [(260, 7), 1608, 48]-NRT-code), using
- extracting embedded OOA [i] based on digital (165, 212, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 53, 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
- trace code for nets [i] based on digital (6, 53, 65)-net 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(2220, 261, F2, 7, 47) (dual of [(261, 7), 1607, 48]-NRT-code) | [i] | OOA Duplication | |
2 | Linear OOA(2221, 261, F2, 7, 47) (dual of [(261, 7), 1606, 48]-NRT-code) | [i] | ||
3 | Linear OOA(2222, 261, F2, 7, 47) (dual of [(261, 7), 1605, 48]-NRT-code) | [i] | ||
4 | Linear OOA(2223, 261, F2, 7, 47) (dual of [(261, 7), 1604, 48]-NRT-code) | [i] | ||
5 | Linear OOA(2224, 261, F2, 7, 47) (dual of [(261, 7), 1603, 48]-NRT-code) | [i] | ||
6 | Linear OOA(2225, 261, F2, 7, 47) (dual of [(261, 7), 1602, 48]-NRT-code) | [i] |