Information on Result #1084426
Linear OOA(3213, 60, F3, 4, 134) (dual of [(60, 4), 27, 135]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(355, 20, F3, 4, 44) (dual of [(20, 4), 25, 45]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 55, 20)-net over F3, using
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 9, N(F) = 19, and 1 place with degree 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (11, 19)-sequence over F3, using
- extracting embedded OOA [i] based on digital (11, 55, 20)-net over F3, using
- linear OOA(378, 20, F3, 4, 67) (dual of [(20, 4), 2, 68]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(378, 40, F3, 2, 67) (dual of [(40, 2), 2, 68]-NRT-code), using
- strength reduction [i] based on linear OOA(378, 40, F3, 2, 69) (dual of [(40, 2), 2, 70]-NRT-code), using
- repeating each code word 10 times [i] based on linear OOA(36, 4, F3, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,3) [i]
- repeating each code word 10 times [i] based on linear OOA(36, 4, F3, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- strength reduction [i] based on linear OOA(378, 40, F3, 2, 69) (dual of [(40, 2), 2, 70]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(378, 40, F3, 2, 67) (dual of [(40, 2), 2, 68]-NRT-code), using
- linear OOA(380, 20, F3, 4, 80) (dual of [(20, 4), 0, 81]-NRT-code), 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.