Information on Result #2505080
Linear OOA(5108, 253, F5, 2, 43) (dual of [(253, 2), 398, 44]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(5106, 252, F5, 2, 43) (dual of [(252, 2), 398, 44]-NRT-code), using
- extracting embedded OOA [i] based on digital (63, 106, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 53, 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
- trace code for nets [i] based on digital (10, 53, 126)-net 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(5109, 253, F5, 2, 43) (dual of [(253, 2), 397, 44]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(5108, 253, F5, 3, 43) (dual of [(253, 3), 651, 44]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (65, 108, 253)-net over F5 | [i] | ||