Information on Result #1002690
Linear OOA(3243, 324, F3, 3, 63) (dual of [(324, 3), 729, 64]-NRT-code), using extracting embedded OOA based on digital (180, 243, 324)-net over F3, using
- trace code for nets [i] based on digital (18, 81, 108)-net over F27, using
- net from sequence [i] based on digital (18, 107)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108, using
- F3 from the tower of function fields by Bezerra, GarcÃa, and Stichtenoth over F27 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 18 and N(F) ≥ 108, using
- net from sequence [i] based on digital (18, 107)-sequence over F27, 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(3246, 325, F3, 3, 63) (dual of [(325, 3), 729, 64]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3249, 326, F3, 3, 63) (dual of [(326, 3), 729, 64]-NRT-code) | [i] | ||
| 3 | Linear OOA(3244, 324, F3, 3, 63) (dual of [(324, 3), 728, 64]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3245, 324, F3, 3, 63) (dual of [(324, 3), 727, 64]-NRT-code) | [i] | ||
| 5 | Linear OOA(3243, 162, F3, 5, 63) (dual of [(162, 5), 567, 64]-NRT-code) | [i] | OOA Folding | |