Information on Result #1012405
Linear OOA(4190, 540, F4, 3, 48) (dual of [(540, 3), 1430, 49]-NRT-code), using (u, u+v)-construction based on
- linear OOA(425, 9, F4, 3, 24) (dual of [(9, 3), 2, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,2P) [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,2P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4165, 531, F4, 3, 48) (dual of [(531, 3), 1428, 49]-NRT-code), using
- extracting embedded OOA [i] based on digital (117, 165, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 55, 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, 55, 177)-net over F64, using
- extracting embedded OOA [i] based on digital (117, 165, 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.