Information on Result #1173774
Linear OOA(2172, 260, F2, 8, 37) (dual of [(260, 8), 1908, 38]-NRT-code), using extracting embedded OOA based on digital (135, 172, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 43, 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(2172, 260, F2, 8, 36) (dual of [(260, 8), 1908, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2180, 261, F2, 8, 37) (dual of [(261, 8), 1908, 38]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2188, 262, F2, 8, 37) (dual of [(262, 8), 1908, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(2173, 260, F2, 8, 37) (dual of [(260, 8), 1907, 38]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(2174, 260, F2, 8, 37) (dual of [(260, 8), 1906, 38]-NRT-code) | [i] | ||
| 6 | Linear OOA(2175, 260, F2, 8, 37) (dual of [(260, 8), 1905, 38]-NRT-code) | [i] | ||
| 7 | Linear OOA(2177, 260, F2, 8, 37) (dual of [(260, 8), 1903, 38]-NRT-code) | [i] | ||
| 8 | Linear OOA(2178, 260, F2, 8, 37) (dual of [(260, 8), 1902, 38]-NRT-code) | [i] | ||
| 9 | Linear OOA(2179, 260, F2, 8, 37) (dual of [(260, 8), 1901, 38]-NRT-code) | [i] | ||
| 10 | Linear OOA(2190, 263, F2, 8, 37) (dual of [(263, 8), 1914, 38]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 11 | Linear OOA(2191, 265, F2, 8, 37) (dual of [(265, 8), 1929, 38]-NRT-code) | [i] | ||
| 12 | Linear OOA(2192, 266, F2, 8, 37) (dual of [(266, 8), 1936, 38]-NRT-code) | [i] | ||
| 13 | Linear OOA(2193, 267, F2, 8, 37) (dual of [(267, 8), 1943, 38]-NRT-code) | [i] | ||
| 14 | Linear OOA(2194, 268, F2, 8, 37) (dual of [(268, 8), 1950, 38]-NRT-code) | [i] | ||
| 15 | Linear OOA(2195, 269, F2, 8, 37) (dual of [(269, 8), 1957, 38]-NRT-code) | [i] | ||
| 16 | Linear OOA(2196, 270, F2, 8, 37) (dual of [(270, 8), 1964, 38]-NRT-code) | [i] | ||
| 17 | Linear OOA(2198, 271, F2, 8, 37) (dual of [(271, 8), 1970, 38]-NRT-code) | [i] | ||
| 18 | Linear OOA(2199, 272, F2, 8, 37) (dual of [(272, 8), 1977, 38]-NRT-code) | [i] | ||