Information on Result #1006228
Linear OOA(872, 160, F8, 3, 35) (dual of [(160, 3), 408, 36]-NRT-code), using extracting embedded OOA based on digital (37, 72, 160)-net over F8, using
- trace code for nets [i] based on digital (1, 36, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-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(872, 160, F8, 3, 34) (dual of [(160, 3), 408, 35]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(875, 161, F8, 3, 35) (dual of [(161, 3), 408, 36]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
3 | Linear OOA(873, 160, F8, 3, 35) (dual of [(160, 3), 407, 36]-NRT-code) | [i] | OOA Duplication |