Information on Result #1172916
Linear OOA(2104, 260, F2, 8, 20) (dual of [(260, 8), 1976, 21]-NRT-code), using extracting embedded OOA based on digital (84, 104, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 26, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, 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(2104, 260, F2, 8, 19) (dual of [(260, 8), 1976, 20]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2112, 261, F2, 8, 20) (dual of [(261, 8), 1976, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2105, 260, F2, 8, 20) (dual of [(260, 8), 1975, 21]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2106, 260, F2, 8, 20) (dual of [(260, 8), 1974, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(2107, 260, F2, 8, 20) (dual of [(260, 8), 1973, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(2109, 260, F2, 8, 20) (dual of [(260, 8), 1971, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(2110, 260, F2, 8, 20) (dual of [(260, 8), 1970, 21]-NRT-code) | [i] | ||
| 8 | Linear OOA(2111, 260, F2, 8, 20) (dual of [(260, 8), 1969, 21]-NRT-code) | [i] | ||
| 9 | Linear OOA(2114, 263, F2, 8, 20) (dual of [(263, 8), 1990, 21]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |