Information on Result #889180
Linear OOA(4162, 240, F4, 2, 53) (dual of [(240, 2), 318, 54]-NRT-code), using extracting embedded OOA based on digital (109, 162, 240)-net over F4, using
- trace code for nets [i] based on digital (1, 54, 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(4164, 241, F4, 2, 53) (dual of [(241, 2), 318, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4166, 242, F4, 2, 53) (dual of [(242, 2), 318, 54]-NRT-code) | [i] | ||
| 3 | Linear OOA(4163, 240, F4, 2, 53) (dual of [(240, 2), 317, 54]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(4162, 120, F4, 3, 53) (dual of [(120, 3), 198, 54]-NRT-code) | [i] | OOA Folding | |