Information on Result #1002782
Linear OOA(421, 195, F4, 3, 7) (dual of [(195, 3), 564, 8]-NRT-code), using extracting embedded OOA based on digital (14, 21, 195)-net over F4, using
- trace code for nets [i] based on digital (0, 7, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, 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(422, 195, F4, 3, 7) (dual of [(195, 3), 563, 8]-NRT-code) | [i] | OOA Duplication | |
2 | Linear OOA(423, 195, F4, 3, 7) (dual of [(195, 3), 562, 8]-NRT-code) | [i] | ||
3 | Linear OOA(4142, 2796396, F4, 3, 14) (dual of [(2796396, 3), 8389046, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
4 | Linear OOA(4154, 2796396, F4, 3, 15) (dual of [(2796396, 3), 8389034, 16]-NRT-code) | [i] |