Information on Result #1006388
Linear OOA(8108, 354, F8, 3, 47) (dual of [(354, 3), 954, 48]-NRT-code), using extracting embedded OOA based on digital (61, 108, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 54, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, 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(8108, 354, F8, 3, 46) (dual of [(354, 3), 954, 47]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(8111, 355, F8, 3, 47) (dual of [(355, 3), 954, 48]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
3 | Linear OOA(8114, 356, F8, 3, 47) (dual of [(356, 3), 954, 48]-NRT-code) | [i] | ||
4 | Linear OOA(8109, 354, F8, 3, 47) (dual of [(354, 3), 953, 48]-NRT-code) | [i] | OOA Duplication | |
5 | Linear OOA(8131, 363, F8, 3, 47) (dual of [(363, 3), 958, 48]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
6 | Linear OOA(8132, 368, F8, 3, 47) (dual of [(368, 3), 972, 48]-NRT-code) | [i] | ||
7 | Linear OOA(8133, 371, F8, 3, 47) (dual of [(371, 3), 980, 48]-NRT-code) | [i] | ||
8 | Linear OOA(8134, 378, F8, 3, 47) (dual of [(378, 3), 1000, 48]-NRT-code) | [i] | ||
9 | Linear OOA(8135, 379, F8, 3, 47) (dual of [(379, 3), 1002, 48]-NRT-code) | [i] | ||
10 | Linear OOA(8136, 382, F8, 3, 47) (dual of [(382, 3), 1010, 48]-NRT-code) | [i] | ||
11 | Linear OOA(8138, 388, F8, 3, 47) (dual of [(388, 3), 1026, 48]-NRT-code) | [i] | ||
12 | Linear OOA(8139, 389, F8, 3, 47) (dual of [(389, 3), 1028, 48]-NRT-code) | [i] | ||
13 | Linear OOA(8140, 399, F8, 3, 47) (dual of [(399, 3), 1057, 48]-NRT-code) | [i] | ||
14 | Linear OOA(8141, 400, F8, 3, 47) (dual of [(400, 3), 1059, 48]-NRT-code) | [i] | ||
15 | Linear OOA(8142, 402, F8, 3, 47) (dual of [(402, 3), 1064, 48]-NRT-code) | [i] | ||
16 | Linear OOA(8145, 419, F8, 3, 47) (dual of [(419, 3), 1112, 48]-NRT-code) | [i] |