Information on Result #889220
Linear OOA(4174, 240, F4, 2, 57) (dual of [(240, 2), 306, 58]-NRT-code), using extracting embedded OOA based on digital (117, 174, 240)-net over F4, using
- trace code for nets [i] based on digital (1, 58, 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(4176, 241, F4, 2, 57) (dual of [(241, 2), 306, 58]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4178, 242, F4, 2, 57) (dual of [(242, 2), 306, 58]-NRT-code) | [i] | ||
| 3 | Linear OOA(4175, 240, F4, 2, 57) (dual of [(240, 2), 305, 58]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4174, 120, F4, 3, 57) (dual of [(120, 3), 186, 58]-NRT-code) | [i] | OOA Folding | |