Information on Result #1110894
Linear OOA(2204, 260, F2, 5, 45) (dual of [(260, 5), 1096, 46]-NRT-code), using extracting embedded OOA based on digital (159, 204, 260)-net over F2, using
- trace code for nets [i] based on digital (6, 51, 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(2204, 260, F2, 5, 44) (dual of [(260, 5), 1096, 45]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2209, 261, F2, 5, 45) (dual of [(261, 5), 1096, 46]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2214, 262, F2, 5, 45) (dual of [(262, 5), 1096, 46]-NRT-code) | [i] | ||
| 4 | Linear OOA(2219, 263, F2, 5, 45) (dual of [(263, 5), 1096, 46]-NRT-code) | [i] | ||
| 5 | Linear OOA(2224, 264, F2, 5, 45) (dual of [(264, 5), 1096, 46]-NRT-code) | [i] | ||
| 6 | Linear OOA(2205, 260, F2, 5, 45) (dual of [(260, 5), 1095, 46]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(2206, 260, F2, 5, 45) (dual of [(260, 5), 1094, 46]-NRT-code) | [i] | ||
| 8 | Linear OOA(2207, 260, F2, 5, 45) (dual of [(260, 5), 1093, 46]-NRT-code) | [i] | ||
| 9 | Linear OOA(2227, 265, F2, 5, 45) (dual of [(265, 5), 1098, 46]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 10 | Linear OOA(2228, 266, F2, 5, 45) (dual of [(266, 5), 1102, 46]-NRT-code) | [i] | ||
| 11 | Linear OOA(2229, 267, F2, 5, 45) (dual of [(267, 5), 1106, 46]-NRT-code) | [i] | ||
| 12 | Linear OOA(2230, 268, F2, 5, 45) (dual of [(268, 5), 1110, 46]-NRT-code) | [i] | ||
| 13 | Linear OOA(2231, 269, F2, 5, 45) (dual of [(269, 5), 1114, 46]-NRT-code) | [i] | ||
| 14 | Linear OOA(2232, 270, F2, 5, 45) (dual of [(270, 5), 1118, 46]-NRT-code) | [i] | ||
| 15 | Linear OOA(2234, 271, F2, 5, 45) (dual of [(271, 5), 1121, 46]-NRT-code) | [i] | ||
| 16 | Linear OOA(2235, 272, F2, 5, 45) (dual of [(272, 5), 1125, 46]-NRT-code) | [i] | ||
| 17 | Linear OOA(2237, 274, F2, 5, 45) (dual of [(274, 5), 1133, 46]-NRT-code) | [i] | ||
| 18 | Linear OOA(2239, 275, F2, 5, 45) (dual of [(275, 5), 1136, 46]-NRT-code) | [i] | ||