Information on Result #1002802
Linear OOA(426, 66, F4, 3, 11) (dual of [(66, 3), 172, 12]-NRT-code), using extracting embedded OOA based on digital (15, 26, 66)-net over F4, using
- trace code for nets [i] based on digital (2, 13, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- net from sequence [i] based on digital (2, 32)-sequence 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(427, 66, F4, 3, 11) (dual of [(66, 3), 171, 12]-NRT-code) | [i] | OOA Duplication | |
2 | Linear OOA(4219, 2796267, F4, 3, 22) (dual of [(2796267, 3), 8388582, 23]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
3 | Linear OOA(4231, 2796267, F4, 3, 23) (dual of [(2796267, 3), 8388570, 24]-NRT-code) | [i] |