Information on Result #1012373
Linear OOA(4179, 540, F4, 3, 45) (dual of [(540, 3), 1441, 46]-NRT-code), using (u, u+v)-construction based on
- linear OOA(423, 9, F4, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4156, 531, F4, 3, 45) (dual of [(531, 3), 1437, 46]-NRT-code), using
- extracting embedded OOA [i] based on digital (111, 156, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 52, 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
- trace code for nets [i] based on digital (7, 52, 177)-net over F64, using
- extracting embedded OOA [i] based on digital (111, 156, 531)-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.