Information on Result #1173428
Linear OOA(2148, 68, F2, 8, 53) (dual of [(68, 8), 396, 54]-NRT-code), using extracting embedded OOA based on digital (95, 148, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 74, 34)-net over F4, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 21 and N(F) ≥ 34, using
- T5 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 21 and N(F) ≥ 34, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, 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(2148, 68, F2, 8, 52) (dual of [(68, 8), 396, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2148, 68, F2, 8, 51) (dual of [(68, 8), 396, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(2148, 68, F2, 8, 50) (dual of [(68, 8), 396, 51]-NRT-code) | [i] | ||
| 4 | Linear OOA(2156, 69, F2, 8, 53) (dual of [(69, 8), 396, 54]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(2149, 68, F2, 8, 53) (dual of [(68, 8), 395, 54]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(2151, 68, F2, 8, 53) (dual of [(68, 8), 393, 54]-NRT-code) | [i] | ||
| 7 | Linear OOA(2153, 68, F2, 8, 53) (dual of [(68, 8), 391, 54]-NRT-code) | [i] | ||
| 8 | Linear OOA(2155, 68, F2, 8, 53) (dual of [(68, 8), 389, 54]-NRT-code) | [i] | ||