Information on Result #1006357
Linear OOA(8100, 354, F8, 3, 43) (dual of [(354, 3), 962, 44]-NRT-code), using extracting embedded OOA based on digital (57, 100, 354)-net over F8, using
- trace code for nets [i] based on digital (7, 50, 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(8100, 354, F8, 3, 42) (dual of [(354, 3), 962, 43]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8103, 355, F8, 3, 43) (dual of [(355, 3), 962, 44]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(8106, 356, F8, 3, 43) (dual of [(356, 3), 962, 44]-NRT-code) | [i] | ||
| 4 | Linear OOA(8101, 354, F8, 3, 43) (dual of [(354, 3), 961, 44]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(8121, 363, F8, 3, 43) (dual of [(363, 3), 968, 44]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(8122, 368, F8, 3, 43) (dual of [(368, 3), 982, 44]-NRT-code) | [i] | ||
| 7 | Linear OOA(8123, 371, F8, 3, 43) (dual of [(371, 3), 990, 44]-NRT-code) | [i] | ||
| 8 | Linear OOA(8124, 378, F8, 3, 43) (dual of [(378, 3), 1010, 44]-NRT-code) | [i] | ||
| 9 | Linear OOA(8125, 379, F8, 3, 43) (dual of [(379, 3), 1012, 44]-NRT-code) | [i] | ||
| 10 | Linear OOA(8126, 382, F8, 3, 43) (dual of [(382, 3), 1020, 44]-NRT-code) | [i] | ||
| 11 | Linear OOA(8128, 388, F8, 3, 43) (dual of [(388, 3), 1036, 44]-NRT-code) | [i] | ||
| 12 | Linear OOA(8129, 389, F8, 3, 43) (dual of [(389, 3), 1038, 44]-NRT-code) | [i] | ||
| 13 | Linear OOA(8130, 399, F8, 3, 43) (dual of [(399, 3), 1067, 44]-NRT-code) | [i] | ||
| 14 | Linear OOA(8131, 400, F8, 3, 43) (dual of [(400, 3), 1069, 44]-NRT-code) | [i] | ||
| 15 | Linear OOA(8132, 402, F8, 3, 43) (dual of [(402, 3), 1074, 44]-NRT-code) | [i] | ||
| 16 | Linear OOA(8135, 419, F8, 3, 43) (dual of [(419, 3), 1122, 44]-NRT-code) | [i] | ||
| 17 | Linear OOA(8139, 421, F8, 3, 43) (dual of [(421, 3), 1124, 44]-NRT-code) | [i] | ||