Information on Result #1049031
Linear OOA(4159, 141, F4, 3, 58) (dual of [(141, 3), 264, 59]-NRT-code), using (u, u+v)-construction based on
- linear OOA(431, 11, F4, 3, 29) (dual of [(11, 3), 2, 30]-NRT-code), using
- 12 step truncation [i] based on linear OOA(443, 15, F4, 3, 41) (dual of [(15, 3), 2, 42]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(413, 5, F4, 3, 13) (dual of [(5, 3), 2, 14]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;2,4) [i]
- repeating each code word 3 times [i] based on linear OOA(413, 5, F4, 3, 13) (dual of [(5, 3), 2, 14]-NRT-code), using
- 12 step truncation [i] based on linear OOA(443, 15, F4, 3, 41) (dual of [(15, 3), 2, 42]-NRT-code), using
- linear OOA(4128, 130, F4, 3, 58) (dual of [(130, 3), 262, 59]-NRT-code), using
- extracting embedded OOA [i] based on digital (70, 128, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 64, 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, 64, 65)-net over F16, using
- extracting embedded OOA [i] based on digital (70, 128, 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.