Information on Result #1075583
Linear OOA(2260, 132, F2, 4, 81) (dual of [(132, 4), 268, 82]-NRT-code), using extracting embedded OOA based on digital (179, 260, 132)-net over F2, using
- trace code for nets [i] based on digital (49, 130, 66)-net over F4, using
- net from sequence [i] based on digital (49, 65)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 49 and N(F) ≥ 66, using
- T6 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) = 49 and N(F) ≥ 66, using
- net from sequence [i] based on digital (49, 65)-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(2260, 132, F2, 4, 80) (dual of [(132, 4), 268, 81]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2260, 66, F2, 7, 81) (dual of [(66, 7), 202, 82]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2260, 66, F2, 8, 81) (dual of [(66, 8), 268, 82]-NRT-code) | [i] | ||