Information on Result #890485
Linear OOA(7106, 688, F7, 2, 32) (dual of [(688, 2), 1270, 33]-NRT-code), using extracting embedded OOA based on digital (74, 106, 688)-net over F7, using
- trace code for nets [i] based on digital (21, 53, 344)-net over F49, using
- net from sequence [i] based on digital (21, 343)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- the Hermitian function field over F49 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- net from sequence [i] based on digital (21, 343)-sequence over F49, 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(7108, 689, F7, 2, 32) (dual of [(689, 2), 1270, 33]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(7107, 688, F7, 2, 32) (dual of [(688, 2), 1269, 33]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(7106, 344, F7, 3, 32) (dual of [(344, 3), 926, 33]-NRT-code) | [i] | OOA Folding | |