Information on Result #2692038
Linear OOA(4163, 138, F4, 3, 63) (dual of [(138, 3), 251, 64]-NRT-code), using 41 times duplication based on linear OOA(4162, 138, F4, 3, 63) (dual of [(138, 3), 252, 64]-NRT-code), using
- 8 times NRT-code embedding in larger space [i] based on linear OOA(4138, 130, F4, 3, 63) (dual of [(130, 3), 252, 64]-NRT-code), using
- extracting embedded OOA [i] based on digital (75, 138, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 69, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- trace code for nets [i] based on digital (6, 69, 65)-net over F16, using
- extracting embedded OOA [i] based on digital (75, 138, 130)-net over F4, 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
None.