Information on Result #2681534
Linear OOA(3237, 293, F3, 3, 63) (dual of [(293, 3), 642, 64]-NRT-code), using 5 times NRT-code embedding in larger space based on linear OOA(3222, 288, F3, 3, 63) (dual of [(288, 3), 642, 64]-NRT-code), using
- extracting embedded OOA [i] based on digital (159, 222, 288)-net over F3, using
- trace code for nets [i] based on digital (11, 74, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- trace code for nets [i] based on digital (11, 74, 96)-net 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(3238, 293, F3, 3, 63) (dual of [(293, 3), 641, 64]-NRT-code) | [i] | OOA Duplication | |
2 | Linear OOA(3239, 293, F3, 3, 63) (dual of [(293, 3), 640, 64]-NRT-code) | [i] |