Information on Result #1174355
Linear OOA(2208, 260, F2, 8, 46) (dual of [(260, 8), 1872, 47]-NRT-code), using extracting embedded OOA based on digital (162, 208, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 52, 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(2208, 260, F2, 8, 45) (dual of [(260, 8), 1872, 46]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2216, 261, F2, 8, 46) (dual of [(261, 8), 1872, 47]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
3 | Linear OOA(2224, 262, F2, 8, 46) (dual of [(262, 8), 1872, 47]-NRT-code) | [i] | ||
4 | Linear OOA(2209, 260, F2, 8, 46) (dual of [(260, 8), 1871, 47]-NRT-code) | [i] | OOA Duplication | |
5 | Linear OOA(2210, 260, F2, 8, 46) (dual of [(260, 8), 1870, 47]-NRT-code) | [i] | ||
6 | Linear OOA(2211, 260, F2, 8, 46) (dual of [(260, 8), 1869, 47]-NRT-code) | [i] | ||
7 | Linear OOA(2213, 260, F2, 8, 46) (dual of [(260, 8), 1867, 47]-NRT-code) | [i] | ||
8 | Linear OOA(2214, 260, F2, 8, 46) (dual of [(260, 8), 1866, 47]-NRT-code) | [i] | ||
9 | Linear OOA(2215, 260, F2, 8, 46) (dual of [(260, 8), 1865, 47]-NRT-code) | [i] | ||
10 | Linear OOA(2231, 263, F2, 8, 46) (dual of [(263, 8), 1873, 47]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
11 | Linear OOA(2232, 265, F2, 8, 46) (dual of [(265, 8), 1888, 47]-NRT-code) | [i] | ||
12 | Linear OOA(2233, 266, F2, 8, 46) (dual of [(266, 8), 1895, 47]-NRT-code) | [i] | ||
13 | Linear OOA(2234, 267, F2, 8, 46) (dual of [(267, 8), 1902, 47]-NRT-code) | [i] | ||
14 | Linear OOA(2235, 268, F2, 8, 46) (dual of [(268, 8), 1909, 47]-NRT-code) | [i] | ||
15 | Linear OOA(2236, 269, F2, 8, 46) (dual of [(269, 8), 1916, 47]-NRT-code) | [i] | ||
16 | Linear OOA(2237, 270, F2, 8, 46) (dual of [(270, 8), 1923, 47]-NRT-code) | [i] | ||
17 | Linear OOA(2239, 271, F2, 8, 46) (dual of [(271, 8), 1929, 47]-NRT-code) | [i] | ||
18 | Linear OOA(2240, 272, F2, 8, 46) (dual of [(272, 8), 1936, 47]-NRT-code) | [i] | ||
19 | Linear OOA(2242, 274, F2, 8, 46) (dual of [(274, 8), 1950, 47]-NRT-code) | [i] | ||
20 | Linear OOA(2244, 275, F2, 8, 46) (dual of [(275, 8), 1956, 47]-NRT-code) | [i] |