Information on Result #1004581
Linear OOA(5136, 252, F5, 3, 58) (dual of [(252, 3), 620, 59]-NRT-code), using extracting embedded OOA based on digital (78, 136, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 68, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, 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(5136, 252, F5, 3, 57) (dual of [(252, 3), 620, 58]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5139, 253, F5, 3, 58) (dual of [(253, 3), 620, 59]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(5142, 254, F5, 3, 58) (dual of [(254, 3), 620, 59]-NRT-code) | [i] | ||
| 4 | Linear OOA(5145, 255, F5, 3, 58) (dual of [(255, 3), 620, 59]-NRT-code) | [i] | ||
| 5 | Linear OOA(5148, 256, F5, 3, 58) (dual of [(256, 3), 620, 59]-NRT-code) | [i] | ||
| 6 | Linear OOA(5137, 252, F5, 3, 58) (dual of [(252, 3), 619, 59]-NRT-code) | [i] | OOA Duplication | |