Information on Result #2687841
Linear OOA(4228, 2796235, F4, 3, 23) (dual of [(2796235, 3), 8388477, 24]-NRT-code), using 41 times duplication based on linear OOA(4227, 2796235, F4, 3, 23) (dual of [(2796235, 3), 8388478, 24]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(422, 34, F4, 3, 11) (dual of [(34, 3), 80, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 22, 34)-net over F4, using
- trace code for nets [i] based on digital (0, 11, 17)-net over F16, using
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 0 and N(F) ≥ 17, using
- the rational function field F16(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- trace code for nets [i] based on digital (0, 11, 17)-net over F16, using
- extracting embedded OOA [i] based on digital (11, 22, 34)-net over F4, using
- linear OOA(4205, 2796201, F4, 3, 23) (dual of [(2796201, 3), 8388398, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- OOA 3-folding [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- linear OOA(422, 34, F4, 3, 11) (dual of [(34, 3), 80, 12]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.