Information on Result #791112
Digital (159, 252, 112)-net over F2, using trace code for nets based on digital (33, 126, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (159, 251, 112)-net over F2 | [i] | m-Reduction | |
| 2 | Digital (159, 250, 112)-net over F2 | [i] | ||
| 3 | Digital (159, 249, 112)-net over F2 | [i] | ||
| 4 | Digital (159, 248, 112)-net over F2 | [i] | ||
| 5 | Digital (159, 247, 112)-net over F2 | [i] | ||
| 6 | Digital (159, 246, 112)-net over F2 | [i] | ||
| 7 | Digital (159, 245, 112)-net over F2 | [i] | ||
| 8 | Digital (159, 244, 112)-net over F2 | [i] | ||
| 9 | Digital (159, 243, 112)-net over F2 | [i] | ||
| 10 | Digital (159, 242, 112)-net over F2 | [i] | ||
| 11 | Digital (159, 241, 112)-net over F2 | [i] | ||
| 12 | Digital (159, 240, 112)-net over F2 | [i] | ||
| 13 | Digital (159, 239, 112)-net over F2 | [i] | ||
| 14 | Digital (159, 238, 112)-net over F2 | [i] | ||
| 15 | Digital (159, 237, 112)-net over F2 | [i] | ||
| 16 | Digital (159, 236, 112)-net over F2 | [i] | ||
| 17 | Digital (159, 235, 112)-net over F2 | [i] | ||
| 18 | Digital (159, 234, 112)-net over F2 | [i] | ||
| 19 | Digital (159, 233, 112)-net over F2 | [i] | ||
| 20 | Digital (159, 232, 112)-net over F2 | [i] | ||
| 21 | Digital (159, 231, 112)-net over F2 | [i] | ||
| 22 | Digital (159, 230, 112)-net over F2 | [i] | ||
| 23 | Digital (159, 229, 112)-net over F2 | [i] | ||
| 24 | Digital (159, 228, 112)-net over F2 | [i] | ||
| 25 | Digital (159, 227, 112)-net over F2 | [i] | ||
| 26 | Digital (159, 226, 112)-net over F2 | [i] | ||
| 27 | Linear OOA(2252, 112, F2, 3, 93) (dual of [(112, 3), 84, 94]-NRT-code) | [i] | Extracting Embedded OOA | |
| 28 | Linear OOA(2252, 112, F2, 4, 93) (dual of [(112, 4), 196, 94]-NRT-code) | [i] | ||
| 29 | Linear OOA(2252, 112, F2, 5, 93) (dual of [(112, 5), 308, 94]-NRT-code) | [i] | ||
| 30 | Linear OOA(2252, 112, F2, 6, 93) (dual of [(112, 6), 420, 94]-NRT-code) | [i] | ||
| 31 | Linear OOA(2252, 112, F2, 7, 93) (dual of [(112, 7), 532, 94]-NRT-code) | [i] | ||
| 32 | Linear OOA(2252, 112, F2, 8, 93) (dual of [(112, 8), 644, 94]-NRT-code) | [i] | ||