Information on Result #1173379
Linear OOA(2144, 260, F2, 8, 30) (dual of [(260, 8), 1936, 31]-NRT-code), using extracting embedded OOA based on digital (114, 144, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 36, 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(2144, 260, F2, 8, 29) (dual of [(260, 8), 1936, 30]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2152, 261, F2, 8, 30) (dual of [(261, 8), 1936, 31]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2145, 260, F2, 8, 30) (dual of [(260, 8), 1935, 31]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2146, 260, F2, 8, 30) (dual of [(260, 8), 1934, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(2147, 260, F2, 8, 30) (dual of [(260, 8), 1933, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(2149, 260, F2, 8, 30) (dual of [(260, 8), 1931, 31]-NRT-code) | [i] | ||
| 7 | Linear OOA(2150, 260, F2, 8, 30) (dual of [(260, 8), 1930, 31]-NRT-code) | [i] | ||
| 8 | Linear OOA(2151, 260, F2, 8, 30) (dual of [(260, 8), 1929, 31]-NRT-code) | [i] | ||
| 9 | Linear OOA(2159, 263, F2, 8, 30) (dual of [(263, 8), 1945, 31]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(2160, 265, F2, 8, 30) (dual of [(265, 8), 1960, 31]-NRT-code) | [i] | ||
| 11 | Linear OOA(2161, 266, F2, 8, 30) (dual of [(266, 8), 1967, 31]-NRT-code) | [i] | ||
| 12 | Linear OOA(2162, 267, F2, 8, 30) (dual of [(267, 8), 1974, 31]-NRT-code) | [i] | ||
| 13 | Linear OOA(2163, 268, F2, 8, 30) (dual of [(268, 8), 1981, 31]-NRT-code) | [i] | ||
| 14 | Linear OOA(2164, 269, F2, 8, 30) (dual of [(269, 8), 1988, 31]-NRT-code) | [i] | ||