Information on Result #1003575
Linear OOA(4216, 1028, F4, 3, 54) (dual of [(1028, 3), 2868, 55]-NRT-code), using extracting embedded OOA based on digital (162, 216, 1028)-net over F4, using
- trace code for nets [i] based on digital (0, 54, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, 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(4219, 1029, F4, 3, 54) (dual of [(1029, 3), 2868, 55]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
2 | Linear OOA(4217, 1028, F4, 3, 54) (dual of [(1028, 3), 2867, 55]-NRT-code) | [i] | OOA Duplication | |
3 | Linear OOA(4218, 1028, F4, 3, 54) (dual of [(1028, 3), 2866, 55]-NRT-code) | [i] |