Information on Result #1158547
Linear OOA(2213, 195, F2, 7, 57) (dual of [(195, 7), 1152, 58]-NRT-code), using extracting embedded OOA based on digital (156, 213, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 71, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, 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(2213, 195, F2, 7, 56) (dual of [(195, 7), 1152, 57]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2213, 195, F2, 7, 55) (dual of [(195, 7), 1152, 56]-NRT-code) | [i] | ||
| 3 | Linear OOA(2220, 196, F2, 7, 57) (dual of [(196, 7), 1152, 58]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(2227, 197, F2, 7, 57) (dual of [(197, 7), 1152, 58]-NRT-code) | [i] | ||
| 5 | Linear OOA(2234, 198, F2, 7, 57) (dual of [(198, 7), 1152, 58]-NRT-code) | [i] | ||
| 6 | Linear OOA(2241, 199, F2, 7, 57) (dual of [(199, 7), 1152, 58]-NRT-code) | [i] | ||
| 7 | Linear OOA(2214, 195, F2, 7, 57) (dual of [(195, 7), 1151, 58]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2215, 195, F2, 7, 57) (dual of [(195, 7), 1150, 58]-NRT-code) | [i] | ||
| 9 | Linear OOA(2217, 195, F2, 7, 57) (dual of [(195, 7), 1148, 58]-NRT-code) | [i] | ||
| 10 | Linear OOA(2218, 195, F2, 7, 57) (dual of [(195, 7), 1147, 58]-NRT-code) | [i] | ||
| 11 | Linear OOA(2242, 200, F2, 7, 57) (dual of [(200, 7), 1158, 58]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 12 | Linear OOA(2243, 201, F2, 7, 57) (dual of [(201, 7), 1164, 58]-NRT-code) | [i] | ||
| 13 | Linear OOA(2244, 202, F2, 7, 57) (dual of [(202, 7), 1170, 58]-NRT-code) | [i] | ||
| 14 | Linear OOA(2245, 203, F2, 7, 57) (dual of [(203, 7), 1176, 58]-NRT-code) | [i] | ||
| 15 | Linear OOA(2246, 204, F2, 7, 57) (dual of [(204, 7), 1182, 58]-NRT-code) | [i] | ||
| 16 | Linear OOA(2247, 205, F2, 7, 57) (dual of [(205, 7), 1188, 58]-NRT-code) | [i] | ||
| 17 | Linear OOA(2249, 206, F2, 7, 57) (dual of [(206, 7), 1193, 58]-NRT-code) | [i] | ||
| 18 | Linear OOA(2250, 207, F2, 7, 57) (dual of [(207, 7), 1199, 58]-NRT-code) | [i] | ||